Question 1

A salesman expects a gain of 13% on his cost price. If in a month, his sale was ₹ 791000, what was his profit?

Accepted Answer

Given, total sale= ₹ 791000 ∴ Cost price = (791000 x 100) /113 = ₹ 700000 ∴ Required profit = 791000 - 700000 = ₹ 91000

Question 2

A gold bracelet is sold for ₹ 14500 at a loss of 20%. What is the cost price of the gold bracelet?

Accepted Answer

CP of bracelet = [100/(100 - Loss%)] x SP = (100/80) x 14500 = ₹ 18125

Question 3

Find the SP when CP is ₹ 40 and gain is 25%.

Accepted Answer

SP = 125% of CP [∵ SP = {(100 + Gain%)/100} x CP] = {125/100} x 40 = (5/4) x 40 = 5 x 10 = ₹ 50

Question 4

Anita purchased a bicycle at cost of ₹ 3200. She sold it at a loss of ₹ 240. At what price did she sell the bicycle?

Accepted Answer

We know that Loss = CP - SP 240 = 3200 - SP ∴ SP = 3200 - 240 = ₹ 2960

Question 5

Find the CP when SP is ₹ 400 and loss is 70 %?

Accepted Answer

CP = (100/30) x 400 = ₹ 4000/3 [∵ CP = {100/(100 - Loss%)} x SP]

Question 6

By selling a cycle for ₹ 2345, a student loses 19%. His cost price is nearly?

Accepted Answer

Let cost price be ₹ N. Selling price = 2345 Loss = 19% Cost price, N = (SP x 100)/(100 - Loss%) = (2345 x 100)/(100 - 19%) ⇒ N = 234500/81 = ₹ 2895 ≈ ₹ 3000

Question 7

A man loses 10% by selling an article for ₹ 180. At what price should he sell it to gain 10%?

Accepted Answer

CP of the article = (180 x 100)/90 = ₹ 200 To gain 10% SP of article = 110% of 200 = ₹ 220

Question 8

A calculator is bought for ₹ 350 and sold at a gain of 15%. What will be the selling price of calculator (in ₹)?

Accepted Answer

Given, CP = ₹ 350 and gain = 15% ∴ SP = [(100 + Gain%) / 100] x CP = (115/100) x 350 = 115 x (7/2) = ₹ 402.50

Question 9

If the cost price is 95% of the selling price, what is the profit per cent?

Accepted Answer

Let SP = SP = ₹ 100 ∴ CP = ₹ 95 Profit = 100 - 95 = ₹ 5 Profit % = (Profit/CP) x 100% = (5/95) x 100% = 5.26%

Question 10

The owner of a cell phone shop charges his customer 28% more than the cost price. If the customer paid ₹ 8960 for the cell phone, what was the cost price of the cell phone?

Accepted Answer

CP = [100/(100 + Gain%)] x SP = (8960 x 100)/128 = 70 x 100 = ₹ 7000

Question 11

Selling price of an article is ₹ 2220 and the per cent profit earned is 20%. What is the cost price of the article?

Accepted Answer

CP = (100/120) x 2220 = ₹ 1850

Question 12

Rajan sold an articles for ₹ 6000 at a loss of 25%. Find the cost price.?

Accepted Answer

CP = [100/(100 - Loss%) ] x SP CP = 6000 x (100/75) = 8000

Question 13

A fruit-seller buys lemons at 2 for a rupee and sells them at 5 for three rupees What is his gain per cent?

Accepted Answer

Since, CP of 2 lemon is ₹ 1 ∴ CP of 1 lemon is = 1/2 = ₹ 0.5 SP of 5 lemon is ₹ 3. ∴ SP of 1 lemon is = 3/5 = ₹ 0.6 ∴ Gain percent = [(0.6 - 0.5)/0.5] x 100 = (0.1/0.5) x 100 = 20%

Question 14

A dealer sold three-fourth of his articles at a gain of 24% and the remaining at the cost price. Percentage of gain in the whole transaction is?

Accepted Answer

Let CP = ₹ 100 ∴ SP = [75 x (124/100)] + 25 = 93 + 25 = ₹ 118 Clearly, gain % = 18%

Question 15

The selling price of 20 articles is equal to the cost price of 22 articles. The gain percentage is

Accepted Answer

Here, a = 22 and b = 20, then ∴ Gain% = [(a - b)/b] x 100% = [(22 - 20)/20] x 100% =10%

Question 16

If the cost price of 23 toys is equal to selling price of 20 toys. Then the gain or loss percentage is?

Accepted Answer

Here, a = 23, b = 20 ∴ Required percentage profit = [(a - b)/b] x 100 % = [(23 - 20)/20] x 100% = 15%

Question 17

The cost of price and selling price of an article are in the ratio of the 3 : 7. If the selling price is ₹ 700, then find the cost price

Accepted Answer

Let CP = 3x and SP = 7x According to the question, 7x = 700 ∴ x = 100 ∴ CP = 3x = ₹ = 300

Question 18

Some apples are bought at 5 for ₹ 10 and sold at 6 for ₹ 15. What is the gain percent?

Accepted Answer

Let number of apples bought = 5 x 6 = 30 [LCM of 5 and 6] CP = (10/5) x 30 = ₹ 60 SP = (15/6) x 30 = ₹ 75 ∴ Gain = SP - CP = 75 - 60 = ₹ 15 ∴ Gain % = (15/60) x 100 % = 25%

Question 19

The profit earned after selling an article for ₹ 625 is same as the loss incurred after selling the article for ₹ 435. The cost price of the article is

Accepted Answer

Let CP = x According to the question, 625 - x = x - 435 ⇒ 2x = 1060 ⇒ x = 1060/2 = ₹ 530

Question 20

If the difference between the selling prices of an article at profit of 6% and 4% ₹ 3, then the cost price of the article should be?

Accepted Answer

Let CP = N According to the question (106N/100) - (104N/100) = 3 ⇒ 2N/100 = 3 ∴ N = 300/2 = ₹ 150

Profit and Loss Questions