Question 1

Anil purchases two books for Rs.100. He sells first at loss of 5% and second al 20% profit. If he gets Overall profit of 5% then what is cost of first book?

Accepted Answer

-5-----------------------5-------------------20 5-(-5) = 10 20-5= 15 Ratio of cost price of book1 and book2 = 3:2 Then cost price of book 1 is given by (3/5) x 100 = Rs. 60.

Question 2

Karthik incurred a loss of 40 percent on selling an article for Rs. 5,640. At what price should he have sold the item to have profit of 25%?

Accepted Answer

From the given data, The cost price of the article = 5640 x 100/60 = Rs. 9400 The selling price of the article to gain 25% profit = 9400 x 125/100 = Rs. 11750.

Question 3

If the selling price of a mat is five times the discount offered and if the percentage of discount is equal to the percentage profit, find the ratio of the discount offered to the cost price.

Accepted Answer

Since S.P. = 5 (M.P. - S.P.) => 5 M.P. = 6 S.P. M.P. = (6/5) S.P. Since the percentage discount = Percentage profit, 6 5 S . P - S . P 6 5 S . P × 100 = S . P - C . P C . P × 100 Therefore, 1/6 = (S.P/C.P) – 1 => S.P = (7/6) C.P M.P = 6/5 S.P = 6/5 x 7/6 C.P = 7/5 C.P Therefore, Ratio of discount to C.P = (M.P – S.P)/C.P = [{(7/5)C.P - (7/6)C.P} / C.P.] = 7/30 Therefore, the ratio is 7 : 30

Question 4

A man saves 20% of his monthly salary. If an account of dearness of things he is to increase his monthly expenses by 15%, he is only able to save Rs. 400 per month. What is his monthly salary ?

Accepted Answer

Income = Rs. 100 Expenditure = Rs. 80 Savings = Rs. 20 Present Expenditure 80x(15/100) = Rs. 12 = 80 + 12 = Rs. 92 Present Savings = 100 – 92 = Rs. 8 100 ------ 8 ? --------- 400 => 5000 His salary = Rs. 5000

Question 5

A man purchases two articles, on selling one at loss of 20% while the other at a profit of 25%, he gains the overall profit of 5% than find the ratio of their selling price ?

Accepted Answer

Article I Article II -20 25% 5% 20% 25% 4 : 5 Now, Selling of first article = (4-20%) = 0.8 Selling of second article = (5+25%) = 6.25 Therefore the ratio of selling price = 8 : 62.5

Question 6

Selling an article at a profit of 20%, Aman gets Rs. 400 more than selling at a loss of 20%. The cost price of the article is ?

Accepted Answer

Cost price of the article is given by = 400x100/(20+20) = Rs.1000

Question 7

A shopkeeper expects a gain of 45/2 % on his C.P. If his sale was Rs. 392, then find his profit.

Accepted Answer

We Know, S . P = 100 + g a i n p e r c e n t 100 × C . P ⇒ C . P = 100 122 . 50 × 392 Profit = 392−320 = Rs72

Question 8

Manisha went to shop with certain amount, with which she can buy 50 Chacobar or 40 Fivestar. She uses 10% amount for petrol and out of the remaining balance, she purchases 20 Fivestar and some Chacobar. Find the number of Chacobar she can buy?

Accepted Answer

Let the total amount be 200 {L.C.M of 40 and 50} Chacobar C.P. = 200/50 = 4 Fivestar C.P = 200/40 = 5 Remaining Money after petrol = [200 - 200×10%] = 180 Remaining money after buying fivestars = [180 - 20×5] = 80 So number of Chacobar she can buy = 80/4 = 20

Question 9

Mahesh bought 100 kg of rice for Rs. 1040 and sold it at a loss of as much money as he received for 30 kg rice. At what price did he sell the rice?

Accepted Answer

Let the selling price of the rice = Rs.P/kg Now, according to the question, 1040 - 100p = 30p => p = 8/kg Hence, the selling price of the rice = Rs. 8/kg

Question 10

A retailer buys product from a shopkeeper at discount of 40% on the list price (marked price) and sells them to the customer at a discount of 25% on the list price.What is his profit percentage ?

Accepted Answer

Let the list price be Rs.100. Therefore, the retailer is buying the products at Rs.60 and selling it to the customer at Rs.75, earning a profit of Rs.15. Therefore, his percentage is = 15 60 x 100 = 25%

Question 11

Sreya bought a plot for Rs. 6,00,000, then sold half of the plot at 10 % profit and rest at 15% profit. What is the total profit % that Sreya gain?

Accepted Answer

10% profit at half plot = 600000/2 x 10/100 = Rs. 30,000 15% profit at remaining half plot = 600000/2 x 15/100 = Rs. 45,000 Now, total profit = 30000 + 45000 = 75000 Profit % = 75000/600000 x 100 = 12.5 %

Question 12

A salesman calculated his profit on the marked price and finds it to be 30%. He forgets the fact that he gave a discount of 20%. What is his actual profit percentage?

Accepted Answer

When profit is calculated on Marked Price (M.P) then, C.P = M.P - P% Let M.P = 100 => C.P = 100 - 30 = 70 But S.P = Rs. 80 as he gave 20% discount, Now, Actual Profit = 80 - 70 70 x 100 = 100/7 %

Question 13

If the cost price of a certain object doubles, then the loss gets tripled of what it was initially. The initial loss % was ?

Accepted Answer

Let the cost price be x and selling price be y. Loss = x – y When the cost price doubles, the loss gets tripled. So it becomes like this, 2x – y = 3(x-y) => x = 2y Loss % = (loss/ C.P) x 100 = [(2y-y)/2y] x 100= 50 %

Question 14

Arun purchased 30 kg of wheat at the rate of Rs. 11.50 per kg and 20 kg of wheat at the rate of 14.25 per kg. He mixed the two and sold the mixture. Approximately what price per kg should be sell the mixture to make 30% profit ?

Accepted Answer

C.P. of 50 kg wheat = (30 * 11.50 + 20 * 14.25) = Rs. 630. S.P. of 50 kg wheat = 130% of Rs. 630 = 130/100 * 630 = Rs. 819. S.P. per kg = 819/50 = Rs. 16.38 = 16.30.

Question 15

The cost price of an article is 54% of the marked price. Calculate the gain percent after allowing a discount of 15% ?

Accepted Answer

Let marked price = Rs. 100. Then, C.P. = RS. 54, S.P. = Rs. 85 Gain % = 31/64 x 100 = 48.4%.

Question 16

Uma sold an article for 3400 and got a profit of 25%. If he had sold the article for Rs. 3265. How much profit% would Uma have got ?

Accepted Answer

Given 125% ---- 3400 => 100% ---- ? => ? = 3400x100/125 = 2720 => Cost price of the article = Rs. 2720 Profit when article sold at Rs. 3265 = 3265 - 2720 = 545 Hence, Profit% = Gain x 100/cost price => P% = 545 x 100/2720 => P% = 20%

Question 17

Namitha sold a powerbank which is at the cost of Rs. 1950 at a loss of 25%. Find at what cost will she have to sell it to get a profit of 25%?

Accepted Answer

Let the Cost price of the powerbank = Rs. P But given that by selling it at Rs. 1950, it gives a loss of 25% => P x 75 100 = 1950 => P = 1950 x 100 75 = Rs. 2600 Now, to get a profit of 25% Selling Price = 2600 x 125 100 = Rs . 3250 .

Question 18

A seller uses 840 gm in place of 1 kg to sell his goods. Find his actual profit/loss % When he sells his article on 4% loss on cost price ?

Accepted Answer

Let 1kg of Rs. 100 then 840gm is of Rs. 84. Now (label on can 1kg but contains 840kg ) so for customer it is of Rs. 100 and further gives 4% discount [he sells his article on 4% loss on cost price.] So now S.P = Rs. 96 But actually it contains 840 gm so C.P for shopkeeper = Rs. 84 S.P = Rs. 96 C.P = Rs. 84 Profit% = {(S.P-C.P)/C.P}x100 {(96-84)/84} x 100 = 14.28571429% PROFIT.

Question 19

A driver of auto rickshaw makes a profit of 20% on every trip when he carries 3 passengers and the price of petrol is Rs. 30 a litre. Find the % profit for the same journey if he goes for 4 passengers per trip and the price of petrol reduces to Rs. …

Accepted Answer

When 3 passengers income was 3x expense= Rs.30 profit =20% of 30 = Rs.6 That means his earning is Rs.36. so that per passenger fare must be Rs.12. When 4 passengers earning = 12x4=Rs.48. expense =Rs.24. profit = Rs.24 = 100%

Profit and Loss Questions