Comparing Quantities

Let the principal (P) = ₹100

Rate of interest (R) = 100% and time period (T) = nyr

Then, simple interest = = = ₹20

We know that,

A = P

= 100 × = ₹121

∴ compound interest, CI = A – P = ₹121 – ₹100 = ₹21

So, C > S

Hence, option (a) is correct.

In option (b), It says either c>s or c = s. Therefore, we can see that according to assumption it is not correct

In option (c), It says either c = s or c<s. Therefore, we can see that according to assumption it is not correct

In option (d), It says either c<s. Therefore, we can see that according to assumption it is not correct

Given, weight of jyothi = 56kg

Where 67% of a person’s total body weight is water

⇒ Now, x% of n =

⇒ Water in jyoti body =

=

= 37.52kg

Hence, 37.52 of her weight is water

If the total amount received in 2yr is same for both simple interest and compound interest on same principal, then the rate of simple interest is greater than the rate of compound interest.

i.e. R < r.

Hence, option (b) is correct.

In option (a), it says r<R, but it contradicts our proof. Hence, it cannot be correct.

In option (c), it says R = r, but it contradicts our proof. Hence, it cannot be correct.

In option (a), it says cannot be determined, but it contradicts our proof. Hence, it cannot be correct.

Given principal (P) = ₹50000

Rate of interest (R) = ₹4% per annum

Time period (T) = 2yr

We know that,

A = P

A =

=

=

=

= ₹54080

∴ Compound interest, CI = A – P = ₹54080 – ₹50000 = ₹4080

Hence, option (b) is correct.

Given, marked price of an article = ₹1200 discount = 12%

Discount = discount % on marked price

= A × 1200 = 12 × 12 = ₹144

Selling price = marked price – discount selling price

= ₹11200 – ₹144 = ₹1056

Hence option (a) is correct.

We have, 90% of x = 315km

⇒ = 315

⇒ x =

⇒ x =

⇒ x = 350 km

Hence, option (b) is correct.

Let the marked price of the article be ₹x.

Cost price of the article = ₹360

According to the question,

= 360

⇒ = 360

Because discount is always calculated on marked price and profit is always calculated on cost price.

⇒ = 360

⇒

⇒ 9x = 450 × 10

⇒

⇒ x = ₹500

So, the marked price is ₹500.

Hence, option (a) is correct.

Let us assume discount rate be a and marked price be x.

Since, discount can be calculated always on marked price, when discount percentage is given.

Discount = Discount % on marked price

=

Hence, option (c) is correct. .

Given principal (P) = ₹100000

Rate of interest (R%) = 12% per annum compounded half – yearly

Let m be the time period.

Amount paid = ₹112360

We know that,

When amount is interested compounded half – yearly

i.e A = P, where n = time period

⇒ 112360 = 100000

⇒

⇒

⇒

On comparing both sides, we get

2m = 2

⇒

⇒ m = 1

So, the time period is 1 yr.

Hence, option (b) is correct.

If interest is compounded half–yearly, then and T = 2T = 2n

Now, the amount will be

∴ C = A – P

So, half the given annual rate and double the given number of years.

Hence, option (d) is correct.

Since, sales tax is charged on the sale of an item by the government and is added to the bill amount. Shyama purchase a scooter of costing = ₹36450

Sales tax paid = 9%

So, total amount paid by her

= ₹36450 of 9% + ₹36450

= + 36450

= 9 × 364.5 + 36450

= 3280.5 + 36450

= ₹39730.5

Hence, option (b) is correct.

The marked price of an article = ₹80

Sold price of the article = ₹76

We know that,

Selling price = marked price – discount

Where discount = marked price – selling price

⇒ discount = ₹80 – ₹76 = ₹4

Discount % = = 5%

Hence, option (a) is correct.

Cost Price of tape recorder for A = ₹8000

Cost price of tape recorder for B = 20% profit on cost price for A

= 8000 + 8000

= 20 × 80 + 8000

= 1600 + 8000

= ₹9600

Cost price of tape recorder for C = 20% profit on cost price for B

= 9600 + 9600

= 20 × 96 + 9600

= 1920 + 9600

= ₹11520

Here, profit for A = ₹1600

Profit for B = ₹1920

So, A earns less profit than B.

Hence, option (c) is correct.

Latika bought a teapot = ₹120 and a set of cups = ₹400

She sold teapot at a profit of 5%.

So, selling price of teapot =

=

= 6 + 120

= ₹ 126

Also, she sold cups at a loss of 5%

So, selling price of cups = 400 -

= ₹400 – 20

= ₹380

Then, the total amount received by her = ₹126 + ₹380 = ₹506

Hence, option (c) is correct.

Let the marked price of the jacket be ₹x

Discount % on marked price = 20%

Selling price of jacket = ₹1120

Then, 1120 =

⇒ 1120 = x -

⇒ 1120 =

⇒ 1120 × 5 = 4x

⇒ = x

⇒ x = 280 × 5

⇒ x = ₹1400

So, marked price of the jacket is ₹1400.

Hence, option (a) is correct.

Since, rate of interest is calculated after every three months. Similarly, the time period for amount in a year will 4 times.

If amount is taken for 2yr, means 4 × 2 = 8 times charged in 2 yr.

Hence, option (a) is correct.

The price of the washing machine = ₹13500

VAT(Value Added Tax] is included in selling price, which is 8%

The original price of the washing machine including of 8% VAT

= 13500 – 13500 ×

= 13500 – 135 × 8

= 13500 – 1080

= ₹12420

Hence, option (a) is correct.

Avinash bought an electric iron = ₹900

He sold it, at 10% profit.

So, selling price of the electric iron =

= 90 + 900 = ₹990

He also solde another electric iron at 5% loss.

Cost price of another electric iron = ₹1200

So, selling price of the electric iron = 1200 - × 1200

= 1200 – 60 = ₹1140

Total amount paid by Avinash for purchasing electric irons

= ₹900 + ₹1200 = ₹2100

Total amount received = ₹990 + 1140 = ₹2130

So, his profit = ₹2130 – ₹2100 = ₹30 in transaction.

Hence, option (c) is correct.

Cost price of tv set = ₹26250

VAT including = 5%

Original price = cost price of article including VAT

= 26250 -

= 26250 –

= 26250 – 1312.5

= ₹24937.5

So, original price of the Tv set = ₹24937.5

Hence, option (c) is correct.

= 40% of [100 – 20% of 300]

=

=

=

= 4 × 4 = 16

Hence, option (b) is correct.

Radhika bought a car for ₹250000.

Cost price of a car = ₹250000

Its price decreased next year for 10%

So, price became = 250000 - × 250000

= 250000 – 25000

= ₹225000

Further next year, its price decreased by 12%, then price will be

= 225000 – 225000 ×

= 225000 – 27000

= ₹198000

In two years, overall decrease percent =

=

=

=

= 20.8%

Hence, option (c) is correct.

Discount is a reduction on the marked price of the article.

Initial number = 150

Final number = 162

Increased number = 162 – 150 = 12

Percent of increased number =

= = 8%

Increase of a number from 150 to 162 is equal to increase of 8% per cent.

Let the price of the article be ₹x.

After 15% increased in price, price became ₹1620

So, 1620 =

⇒ 1620 =

⇒ 1620 × 100 = 115 x

⇒ x =

⇒ x = 1408

15% increase in price of an article, which is ₹1,620, is the increase of ₹1408

Discount = Marked price – Selling Price

Discount = Discount % of Marked Price.

Sales tax is charged on the sale of an item by the government and is added to the bill amount.

Sales tax = Tax% of bill amount.

Amount when interest is compounded annually is given by the formula

Where , P = Principal, R = rate per annum and T = time

Sales tax = tax % of bill amount

The time period after which the interest is added each time to form a new principal is called the conversion period.

Overhead expenses are the additional expenses incurred by a buyer for an item over and above its cost of purchase.

The discount on an item for sale is calculated on the marked price.

When principal P is compounded semi-annually at r% per annum for t years

i.e. Rate = and time = 2 × t

Then, amount = Principal

i.e. A = P

Percentages are equal to fractions with denominator equal to 100.

e.g. 8% means

Selling price of an article = ₹880 and discount% = 12%

We know that,

Discount is calculated on marked price.

Let the marked price be ₹x.

So,

⇒

⇒

⇒ 88x = 880 × 100

⇒ x =

⇒ x = 1000

So, marked price = ₹1000

The marked price of an article when it is sold for Rs 880 after a discount of 12% is ₹1000.

Given, principal(P) = ₹8000

Time period (7) = 1yr

Rate (ft) = 16% per annum compounded half-yearly

Investment amount = 7600000

In 1^st year, the loss in 1^st year = 5%

So, investment in 1^st year = 600000 -

= 600000 – 30000

= 570000

In 2^nd year, the gain is 10%.

So, net investment = 570000 +

= 570000 + 57000

= 627000

In the first year on an investment of Rs 6,00,000 the loss is 5% and in the second year the gain is 10%, the net result is ₹627000.

If amount on the principal of Rs 6,000 is written as 6000 and compound interest payable half yearly, then rate of interest p.a. is 10% and time in years is yr.

Selling price of an article = ₹112000

Gain% = 40%

Let x be the cost price of the article.

∴ cost price = selling price – profit % on cost price

∴ Selling price = cost price + profit % on cost price

So, 112000 =

⇒ 11 2000 =

⇒112000 =

⇒ 112000 × 100 = 140x

⇒ x =

⇒ x =

⇒ x = 16000 × 5

⇒ x = ₹80000

By selling an article for Rs 1,12,000 a girl gains 40%. The cost price of the article was ₹80000.

Let the selling price of 1 geometry box be ₹1.

So, the selling price for 140 geometry boxes = ₹1 × 140 = ₹140

Similarly, selling price of 10geometry boxes = ₹1 × ₹10 = ₹10

Loss = selling price of 10 geometry boxes = ₹10

∴ loss percentage =

=

=

= % = %

Let the cost price of 1 table be ₹1.

The cost price of 10 tables = Sale price of 5 tables profit

Sale price of 5 tables profit = cost price of 5 tables = ₹5.

Profit percentage =

=

= 100%

The cost price of 10 tables is equal to the sale price of 5 tables. The profit per cent in this transaction is 100%.

Number of pens bought by Abida = 100

Rate of per pen = ₹3.50

So, cost of pens = 100 × 3.50 = 1350

Abida also paid 4% sales tax on ₹350

So, the total amount paid by Abida = 350 × + 350

= 350 × + 350

= 14 + 350

= ₹364

Total amount paid by Abida = ₹1350 + ₹364 = ₹1714

Abida bought 100 pens at the rate of Rs 3.50 per pen and pays a sales tax of 4%. The total amount paid by Abida is ₹1714.

The cost of tape recorder, inclusive of 8% sales tax = ₹10800

Let the price of the tape recorder before sales tax be ₹x

So, = 10800

⇒ = 10800

⇒ 108x = 10800 × 100

⇒ x =

⇒ x = 100 × 100

⇒ x = ₹10000

The cost of a tape-recorder is Rs 10,800 inclusive of sales tax charged at 8%. The price of the tape-recorder before sales tax was charged is ₹10,000.

Difference between 2500 and 500 = 2500 – 500 = 2000

Percentage increase in 500 to 2500 =

=

= 400 %

2500 is greater than 500 by 400%.

Let x be the number.

So, four times of x is 4x.

Hence, 4x is greater than x by (4x – x) 3x.

Percentage increase in x =

= 300%

Four times a number is a 300 % increase in the number.

The marked price of the article = 1200

Discount = 5%

Selling price of the article = 200 - × 200

= 200 – 20

= ₹190

Selling price including 5% sales tax = 190 + × 190

= 190 + 9.5

= ₹199.5

Payable amount = ₹199.50.

Given that, the total no. of seats available were 49,000.Seats for General category were 28,200,for SC were 7,400 and for ST were 3,700.

the percentage of seats available for students of general category -

= 57.55%

Given that, the total no. of seats available were 49,000.Seats for General category were 28,200,for SC were 7,400 and for ST were 3,700.

the percentage of seats available for students of SC and ST taken together -

⇒ seats for SC and ST together = seats for SC + seats for ST

= 7,400 + 3,700

= 11,100

⇒ the percentage of seats available for students of SC and ST taken together

= 22.65%

Given that, the price of medicine including 4% VAT is 36.40.

We have, selling price = cost price + VAT

⇒ Cost price = Selling price - VAT

⇒ The price before VAT was added = price including VAT – VAT

= 36.40 - 1.456

= Rs.34.944

= Rs.35

Given that, cost of one pizza and one garlic bread including Rs.43 tax = Rs.387.

⇒ Cost of one pizza & one garlic bread without tax = Rs .(387 - 43)

= Rs.344

Now,

= 12.5%

Given that, rate of atta, detergent and namkeen are 200, 371 and 153 respectively with discount % as 16%, 22.10% and 18.30% respectively.

We have, price = rate - discount

= 200 - 32

= Rs.168

= 371 - 81.991

= Rs.289

= 153 - 27.99

= Rs.185

⇒ total amount of the bill she has to pay = price of atta + price of

detergent + price of namkeen

= 168 + 289 + 185

= Rs.582

Given that, For period 17 - 02 - 09 to 23 - 02 - 09, the amount is 199.75 and service tax % is 12% And for period

24 - 02 - 09 to 16 - 03 - 09, the amount is 599.25 and service tax % is 10%.

⇒ We have, Amount after tax = amount before tax + Service tax

⇒ Amount after tax for period 17 - 02 - 09 to 23 - 02 - 09 @ 12%

= 199.75 + 23.97

= Rs.223.72

⇒ Amount after tax for period 24 - 02 - 09 to 16 - 03 - 09 @ 10%

= 599.25 + 59.925

= Rs.659.175

⇒ ∴ total bill amount = 223.72 + 659.175

= Rs.882.895

⇒ the final bill amount if 3% education cess was also charged on service tax = total bill amount + 3% of total bill amount

= 882.895 + 26.486

= Rs.909.38

Given that, principal(P) = Rs 1,00,000. Rate of interest(R) = 10% compounded half yearly.

⇒ We have, Compound interest = Amount - Principal

(i) (∵ n = 1 for 6 months)

= Rs.1,05,000

⇒∵ Compound interest = A - P

⇒ Interest for 6 months = 105000 - 100000

= Rs. 5,000

(ii)Amount after 6 months = Rs.1,05,000 (calculated above)

(iii)For this, P = Amount after 6 months = Rs.1,05,000

⇒ (∵ n = 1 for 6 months)

= Rs.1,10,250

⇒∵ Compound interest = A - P

⇒ Interest for next 6 months = 110250 - 105000

= Rs. 5,250

(iv) Amount after one year = Rs.1,10,250 (calculated above)

Given that, Babita bought 160 kg of mangoes at Rs.48 per kg. and sold 70% of mangoes at Rs.70 per kg and the remaining mangoes at Rs.40 per kg.

⇒ total amount she paid(cost pice) = 48 × 160

= Rs.7680

And,

= Rs.7840

⇒ the remaining % of mangoes = (100 - 70)% = 30%

= Rs.1920

∴ the total amount she got by selling(selling price) = 7840 + 1920

= Rs.9760

Now,∵ selling price(S.P)> cost price(C.P) ⇒ Gain

And, Gain = S.P - C.P

= 9760 - 7680

= Rs. 2080

⇒ Gain % = 27.08%

Given that, in normal days shopkeeper give 25% discount and during the off season, he offered 30% discount over and above the existing discount. And the marked price of skirt = Rs.1200.

⇒ For normal days:

= Rs.300

∴ the skirt price will be = Rs.1200 - Rs.300

= Rs.900

And now for off season:

30% discount over and above the existing discount will be there

= Rs.270

∴ skirt price now will be = Rs.900 - Rs.270

= Rs.630

Given that, festival discount = 255 and ramandeep got discount of Rs. 1,960.

⇒ marked price = 4 × 1960

⇒ marked price = Rs.7840

Given that, Principal(P) = Rs.45000, Interest rate(R) = 12% and time period(n) = 5 years.

⇒ We have -

= Rs. 27000

Also, Compound Interest = A – P

= 45000 × 1.76

⇒ A = Rs. 79200

⇒ Compound Interest = Rs. 79200 – Rs. 45000

= Rs. 34200

⇒ ∴ difference between Simple interest and compound interest

= Rs.34200 - Rs.27000

= Rs.7200

Given that, new computer costs Rs 1,00,000 and depreciation rate = 50% every year and time period(n) = 2 years.

⇒ cost of computer(A) after 2 year using -

= Rs. 25000

Given that, present population = 631680, last year migration rate = 4% and year before last migration rate = 6%.

Comparing the situation with -

⇒ population two years ago = P, present population of town = A, R₁ = 4% and R_{2 =} 6%.

⇒ P = 700000

Given that, Lemons bought at Rs 48 per dozen and sold at Rs.40 per 10.

⇒ cost of 12 lemons = Rs.48 (∵ 1 dozen lemons = 12 lemons)

= Rs.4

Now,selling price of 10 lemons = Rs.40

= Rs.4

⇒ cost price of 1 lemon = selling price of 1 lemon

⇒ there is neither profit nor loss.

Given the table -

We know,

Decrement in price = old price – new price and

⇒ decrement in petrol price/litre = Rs.45.62 - Rs.40.62

= Rs.5

= 10.96%

⇒ decrement in diesel price/litre = Rs.32.86 - Rs.30.86

= Rs.2

= 6.09%

⇒ decrement in LPG price/14.2 kg = Rs.304.70 - Rs.279.70

= Rs.25

= 8.20%

Given, the table -

We know that,

Decrease in no. of seats won by party = seats won by party in 2004 - Seats won by party in 2009

Increase in no. of seats won by party = seats won by party in 2009 - Seats won by party in 2009

⇒ Decrease in no. of seats won by party A = 206 - 145

= 61

⇒ Increase in no. of seats won by party B = 138 – 116 = 22

⇒ Increase in no. of seats won by party C = 24 – 4 = 20

⇒ Increase in no. of seats won by party D = 12 – 11 = 1

Given, the table.

We know that,

= 53.74%

= 35.71%

⇒ difference of % = (53.74 - 35.71)% = 18.03%

⇒ party X won 18.03% more seats as compared to party Y

Given that, selling price of coolers = Rs.3990 each.On first cooler, gain = 5% and on second cooler, loss = 5%

For first cooler -

∵ Gain = Selling price - cost price

⇒ cost price of first cooler = Rs.3800

For second cooler -

∵ Loss = cost price - Selling price

⇒ cost price of second cooler = Rs.4200

∴ total cost price = Rs.3800 + Rs.4200

= Rs.8000

And total selling price = Rs.3990 × 2

= Rs.7980

⇒ cost price>selling price ⇒ loss

And loss = total cost price - total selling price

= Rs.8000 - Rs.7980

= Rs.20

= 0.25%

Given that, cost price of some pencils = Rs.3 and for other equal no. of pencils = Rs.3 and total selling price = Rs.7.

Let lady buys ‘n’ pencils for Rs.3.(type - 1)

And for ‘n’ pencils of other kind, she paid Rs.6(type - 2)

∴ she sold n + n = 2n pencils for Rs.7

Now, for type - 1 pencils -

Gain = selling price - cost price

Now, for type - 2 pencils -

Loss = cost price - selling price

⇒ Net gain % = Gain % - Loss %

= 25%

Given that, selling price of chair = Rs.736,which led to loss of 8%.

We know,

Also, Loss = Cost price - Selling price

⇒ cost price = Rs.800

Now,

And, Gain = Selling price - Cost price

⇒ selling price so as to gain 8% = Gain + cost price

= 800 + 64

= Rs.864

Given that, cost price of dining table = Rs. 3,200 And gain on selling = 6% and tax rate = 5%.

We know, Gain = Selling price - Cost price

⇒ selling price = Gain + cost price

= 3200 + 192

= Rs.3392

Now, If a customer pays sales tax at the rate of 5, then -

= Rs.3392 + 169.6

= Rs. 3561.6

Given, the cost price of a second hand car = Rs. 2,25,000

The amount Alchal spends for reparing = Rs. 25,000

We need to find out the profit percentage.

⇒So, actual cost of a car = 225000 + 25000

= 250000

⇒The amount for which she sold the car = 325000

⇒Now, we know that Profit = CostPrice-SellingPrice

⇒profit = 325000-250000

= Rs. 75000

⇒We know that

∴ Profit Percentage =

=

= 30 %

Hence, the profit percentage is 30%

Given,the cost price of an air-conditioner car = Rs.15,200

Also,the amount spent for trandportation = Rs. 300

And the amount spent for repair = Rs. 500

We deed to find out to make a gain of 15% what should be

the selling price.

⇒Actual cost price of the air conditioner with transportation

and repair charges = 15200 + 300 + 500

= Rs. 16000

⇒Now, we know that gain

⇒ Gain =

= 15 x 160

= 2400

⇒Now, we know that SellingPrice = Gain + CostPrice

∴ SP = 2400 + 16000

= 18400 Rs.

Hence, for gain of 15% she should sell it for Rs.18400

Given, the cost price of an article = Rs. 600

Also, the gain percentage = 20%

And discount allowed = 10%

We need to find out the marked price of the article.

⇒Now, we know that gain

∴ Gain =

= Rs. 120

⇒Now, we know that SellingPrice = Gain + CostPrice

∴ SP = 120 + 600

= Rs. 720

Let marked price = Rs.x

Since, a discount of 10% is allowed.

⇒ x-10% of x = Rs. 720

⇒ = 720

⇒ = 720

⇒ = 720

⇒

⇒ x = Rs. 800

Hence, the markes price on the article is Rs 800

Given, the cost price of each coat = Rs. 1500

Also the total number of coat purchased = 18

⇒We need to find out the cost of each coat and profit

earned by brinda.

Now, we know that the total cost of 18 coats = total

number of coats * cost of each coat.

⇒ Total cost of 18 coats = 18*1500

= 27000

⇒ Gain% = 6%

Now, we know that

⇒ Gain =

= 1620

Now, we know that Selling price = Gain + Costprice

⇒ Amount received by brinda = 1620 + 27000

= 28620

Customer pay sales tax = 4%

Now, we know that the TotalSalesTax = Cost x SalesTax

⇒TotalSalesTax

= 1144.8

Now, The cost price with the sales tax TotalCost = Cost + TotalSalesTax.

⇒ Total cost with sales tax = 28620 + 1144.8

= Rs. 29764.8

Cost Price of one coat =

⇒ Cost price of one coat =

= Rs.1653.6

⇒ Profit earned by Brinda = 28620 – 27000

= 1620

Hence, Brinda earned the profit of 1620

Given, Amount borrowed by Rahim (P) = 1024000 with a

time period (T) = 1 yr.

Also, Rate of interest (R) = 5% per annum compounded

half-yearly.

Let Amount = A

Now, for interest compounded half-yearly

⇒ A =

Since, In half-yearly and T = 2T

⇒ A =

=

=

=

= 640 x 41 x 41

= Rs.1075840

Now, we know Compund interest,CI = Amount-Principle

⇒ CI = 1075840-1024000

= RS. 51840

Hence, interest paid by him is RS.51840

Given, Cost of T-shirt = RS.1200

Also, cost of Jeans = Rs 1000.

And cost of Skirts = Rs 1350

Here, 2 skirts = 1350 + 1350 = 2700

We need to find out cost of items with sales tax

⇒ Total cost = 1200 + 1000 + 2700

= Rs. 4900

⇒ Sikha have to pay sales tax = 7%

Now, we know that the TotalSalesTax = Cost x SalesTax

⇒ TotalSalesTax

= 343

⇒ Now, The cost price with the sales tax TotalCost = Cost +

TotalSalesTax.

⇒ Total cost = 4900 + 343

= Rs. 5243

So, the total cost to be paid to sikha is Rs. 5243

Given, the serving size of 1 cup of sweet corn = 240ml

Also, total fat = 2g on 2%

Now, we know x% of n =

⇒ 2% of fat in sweet corn of 1 cup (with 2 servings per container) =

=

= 4.8g

⇒For one serving =

= 2.4g

Given, serving size of 1 cup of cream of tomato = 240ml

Also, total fat = 2g on 3%

Now, we know x% of n =

⇒3% of fat in cream of tomato of 1 cup (with 2 servings per container) =

=

= 7.2 g

⇒For one serving =

= 3.6g

Hence, sweet corn soup can be compared more accurately.

Since, 2.4g is nearest to 2g when compared to 3.6g to 3g.

Given, tomato soup contains 29% of the recommended daily value of sodium for a 2000 calorie diet

We need to find out recommended daily value of sodium in milligrams

⇒ Now, we know x% of n =

∴ 29% of 2000 calories =

= mg

Given, sugar in sweet corn soup = 5g and sugar in tomato

soup = 11g

We need to find out the increase percentage

⇒Now, we know increase = newnumber-originalnumber

⇒ If cream of tomato soup is choosen over sweet corn soup,

the increase in sugar consumed = 11g – 5g = 6g

⇒ Now, we know increase% =

⇒ increase % =

=

= 120%

Hence, the increase percentage is 120

Given, fat in sweet corn soup in calories = 9

Also, fat in cream tomato soup in calories = 20

We need to find out the ratio

⇒ Now, we know Ratio = x:y

= 9:20

=

Given, price of CD = 120

Also, discount is 25% of orginal price.

We need to find out selling price.

⇒ Now, we know x% of n =

⇒25%discount on Rs.120 =

=

= Rs. 30

∴ Discount = Rs.30

⇒Now, Selling price after discount = original cost price - discount

⇒ Selling price after discount = 120-30

= Rs.90

Hence, the selling price is RS.90

Given, video game available in store A and store B at rate = Rs. 750

Store B sells video game on sales offer = Rs.600

Store A sells video game at discount = 25%

We need to find out at which store is the game least expensive.

⇒ Now, we know x% of n =

⇒Discount =

=

= 187.5

So, the price of the video game at store A = 750 – 187.5

= 562.5

Hence, at store A the video game is less expensive.

(a) Given, original price of the toy = Rs.90

We need to find out the sales price

If price, reduced to 66% of the original price then the price becames =

= 90 – 59.4 = 30.6

(b) We have discounted amount as 66% of 90

⇒

= 59.4

Hence, the amount saved is 59.4

(a) Given, Marked Price of a board game = Rs.320

Also, discount in store = 25%

Sheela have a gift voucher value = Rs.50

In Method 1:

We need to subtract Rs 50 from the price and take

25% off the resulting price

⇒Rs.320 – Rs.50 = Rs. 270

⇒ Now, 25% discount on Rs270 =

= 270-67.5

= 202.5

In Method2:

We need to take 25% off the original price and then subtract Rs 50.

⇒ 25% off on Rs.320 =

⇒ Now, we know x% of n =

= 320-80

= 240

⇒ Subtracting 50 we get

= 240-50

= Rs.190

Hence, method 2 will be beneficial for her.

(b) In Method 1 amount paid by sheela is Rs.202.5

And in Method 2 amount paid by sheela is Rs.190

(c) Method 1 will be used by stores because in this method actual discount is loss.

Given, one bedroom rate at Neelgiri = 6000 per month

Also, 20% off for first two months

We need to calculate the cheaper apartment

⇒ Now, we know x% of n =

⇒ 20% of rent =

= 1200

⇒ Rent for first two months = 2× (6000 – 1200)

= 2 × 4800

= 9600 Rs.

∴ Rent for first two months at Neelgiri apartments = Rs. 9600

At Savana apartments, 50%off for first month

And rent for bedroom = 7000 per month

⇒ 50% off rent =

= Rs.3500

⇒ Rent for first month = Rs.7000-Rs.3500

= Rs. 3500

But, we need rent for two months for comparing

⇒ Rent for two months in savanna apartment = 3500 + 7000

= Rs.10500

Now, comparing two apartments rent, we get

= Rs.10500- Rs.9600

= Rs. 900

Hence, Neelgiri apartment will be cheaper by Rs.900

Let us assume the amount be RS. 100

⇒ x% increase in amount = amount +

⇒ 20% increase in Rs.100 =

= 100 + 20

= Rs. 120

⇒ x% decrease in amount = amount -

Now, 20% decrease in Rs.120 =

= 120-24

= Rs. 96

Hence, decreased price is less than original amount.

Given, a sunscreen with SPF 15, means it allows only of the sun’s UV rays.

⇒ = of the sun’s UV rays abort by the sunscreen

⇒ In percentage =

=

= 93.33%

Hence, sunscreen aborts 93.33% of UV rays

a. Given, Sunscreen allows 25% of the sun’s UV rays

⇒ It blocks UV rays = 100-25 = 75%

=

=

Hence, sunscreen block of UV rays

b. Given, sunscreen allows 25% on of UV rays.

⇒ It protects =

=

= of UV rays.

Hence, it is a SPF 4.

Given, sunscreen with SPF 30

And claims 97% of UV rays are blocked by the sunscreen.

Need to find out given claim is true or not.

The given claim is False

Explaniation

According to the claim, for affect of UV rays 1 minute = SPF

⇒ Affect 30SPF claim

Hence, the claim is false.

Given, commission received = 50,000

Also, commission percentage = 4%

Need to find out the price of the property

Let the price of the property = Rs.y

⇒ Now, x% of n =

⇒ = 50000

⇒ y =

⇒ Y = 50000 × 25 = Rs.1250000

Hence, the selling price of the property is Rs.1250000

Given, chaiwala can buy 2kg extra with 15% discount.

⇒ Let us assume chaiwala purchase y kg tea.

And price of a tea per kg = Rs.x

⇒ Discount 15% per kg =

=

=

The amount spent by him for purchasing tea leaves is 45

Without discount he can buy xy = 45 ……eq 1

And ……eq 2

Solving above two equations we get,

⇒ = 45

⇒ = 45 -

⇒ =

⇒ =

⇒ 85 × 2x = 45 × 15

⇒ x =

⇒ x =

⇒ x = 3.97 per kg

Hence, original price = 3.97 perkg

∴ price reduced =

= 3.374

Approximately 3.38 per kg

Hence, Reduced price is 3.38 perkg

Given, marks in eachsubject and need to find out the final percentage of each subject.

Now, Final% =

For English literature =

For English Language =

For Hindi Literature =

For Hindi Language =

For Mathematics =

For Sanskrit =

For Physics =

For Chemistry =

For Biology =

For History and civics =

For Geography =

Given, sita managed to score 32 baskets in 35 attempts.

Need to calculate success rate in percentage.

⇒ Success rate =

=

= 91.43%

Hence, success rate of sita is 91.43%

Given, Neha finished her homework = 73% =

Also, Minakshi finished = of her homework

Home work left for Minakshi =

=

=

Calculating minakshi homework in percentage we get,

=

= 37.5%

Home work left for neha = (100-73) = 27% =

Hence, Minakshi finished greater percentage of homework.

Given, 90000 of the 2,50,000 identified plant species in the world are specified as rain forest.

Need to find out the percentage.

⇒ In percentage =

=

= 36%

Hence, 36% of world’s identified plant species are found in rain forests.

Given, Madhu’s room measured = 6m × 3m

Also, her carpet covers = 8m²

Need to find out percentage of floor covered by the carpet

⇒ Area of the room = 6 × 3 = 18m²

⇒ Now, Area covered by the carpet in percentage =

⇒ Area covered by the carpet in percentage =

=

= 44.44%

Hence, area covered by the carpet in percentage is 44.44%

Given, the percentage of gold in 14 carat gold = 58.3%

Weight of 14 carat gold = 7.6 grams

Need to find out no.of grams in pure gold

⇒ Pure gold in 14 carat gold of 7.6g =

=

= 4.431g

Hence, pure gold in 7.6g of 14 carat gold is equal to 4.431g

Given, student used the proportion

⇒ 5% of 32 will be calculated as

Since,x% of n =

=

= 1.6

But student finding percent is 5 of 32

Given, Brand X sunscreen cost = Rs.70

With sales tax it is Rs.75

Also, Brand Y sunscreen cost = Rs.62

With sales tax it is Rs.65

⇒ Sales Tax paid for brand X = 75-70 = 5Rs.

⇒ Sales Tax paid for brand Y = 65-62 = 3Rs.

Hence, brand X has greater sales tax rate.

Now, SalesTax =

⇒ Sales tax for brand X =

=

=

= 71.4%

⇒ Sales tax for brand Y =

=

= 4.838

= 4.84%