Question 1

Anna sold his car Boney at a profit of 20% and Boney sold it to Chakori at a profit of 10%. Chakori sold it to mechanic at a loss of 9.09%.Mechanic spent 10% of his purchasing price and then sold it at a profit of 8.33% to Anna once again. what is t…

Accepted Answer

Anna: CP = 100 SP = 120 Boney: CP = 120 SP = 132 Chakori: CP = 132 SP = 120 Mechanic: CP = 120 + 12 = 132 SP = 143 Loss of Anna = 143 - 20 = 23 % loss of Anna = (23 / 100) x 100 = 23%

Question 2

I asked the shopkeeper the price of a wristwatch. I found that I had just the required sum of money. When the shopkeeper allowed me a discount of 25%, I could bought another watch worth Rs. 940 for my younger sister. What is the price Which I have p…

Accepted Answer

If I had Rs. 100 Discount = 25 = cost of my sister's watch The cost of my own watch = 75 Thus the ratio of cost of my own watch to that of my sister's watch = 3 : 1 So the cost of my own watch = 3 x 940 = 2820

Question 3

A and B are two partners and they have invested Rs. 54,000 and Rs. 90,000 in business. After one year A received Rs 1800 as his share of profit out of total profit of Rs. 3600 including his certain commission on total profit since he is a working pa…

Accepted Answer

Ratio of profit of A : B (excluding commission of A) = 3 : 5 ( 54 : 90) Now the share of profit of B = 3600 - 1800 = Rs. 1800 So the share of profit A (excluding commission ) = Rs. 1080 So the commission of A = 1800 - 1080 = 720 Therefore the required percentage = (720 / 3600) x 100 = 20%

Question 4

A trader sells goods to a customer at a profit of k% over the cost price, besides it he cheats his customer by giving 880 g only instead of 1 kg. Thus his overall profit percentage is 25%. Find the value of k?

Accepted Answer

Profit % = 25 / 100 = 120 + k (profit) / 880 (sale) ∴ k = 100 Therefore, net profit % = (100 / 1000) X 100 = 10%

Question 5

In an office the number of employees reduces in the ratio of 3 : 2 and the wages increases in the ratio of 20 : 27, What is the profit percentage of employees over the previous wages?

Accepted Answer

Let the number of employees in beginning = 3a Let the wage per employee = 20b Total wages = no. of employees x wage per employee. = 3a x 20b = 60ab Let the number of employees in the end= 2a Let the wage per employee = 27b Total wages = no. of employees x wage per employee. = 2a x 27b = 54ab Profit (%) = [ ( 60 - 54 ) / 60 ] x 100 = 10%

Question 6

Ajay bought a motor cycle for Rs. 50,000. 2 years later he sold it to Bijoy spent 5% of the purchasing price on its maintenance. Later Bijoy displayed the sale price of his motorcycle Rs. 50,000. Chetan wanted to purchase it at 15% discount but Bijo…

Accepted Answer

MP = 100 Price after first discount = 90. Price after second discount = 85.5 So, the net discount = 100 - 85.5 = 14.5%

Question 7

The cost price of an article is C and the selling price of the same article is S, where Z is the profit or loss percentage. If the CP and SP both are increased by same amount then which of the following is true :

Accepted Answer

The profit = SP - CP If SP and CP both increase at same amount then the profit would be same. As we know profit % (Z) = Actual profit / CP So if CP increases the profit % (Z) will go down as there is no change in actual profit.

Question 8

The selling price of 12 articles is equal to the cost price of 15 articles. The gain per cent is?

Accepted Answer

Let C.P. of each article = Re. 1 Then, C.P. of 12 articles = Rs.12 S.P. of 12 articles = C.P. of 15 articles = Rs. 15 ∴ Gain% = (3/12) x 100% = 25%

Question 9

An article when sold for Rs. 200 fetches 25 percent profit. What would be the percentage profit / loss if 6 such articles are sold for Rs. 1056?

Accepted Answer

∵ C.P. of 1 article = (200/125) x 100 = Rs. 160 ⇒ C.P.of 6 articles = 6 x 160 = 960 ∴ profit = 1056 - 960 = 96 percentage profit = (96/960) x 100 = 10%

Question 10

Two chair and three table cost Rs.1025 and three chairs and two tables cost Rs. 1100. What is the difference between the cost of one table and that of one chair?

Accepted Answer

Let the cost of each table and chair be Rs. x and Rs. y respectively ∵ 2y + 3x = 1025 and 3y + 2x = 1100 Solving the above two equations, we get x = Rs. 175 and y = Rs. 250 ∴ Difference between the cost of one table and one chair = Rs. (250 - 175) = Rs. 75

Question 11

An item costing Rs. 200 is being sold at 10% loss. If the price is further reduced by 5%, the selling price will be?

Accepted Answer

S.P. = 90% of Rs. 200 = Rs. 180 Required S.P. = (95% of Rs. 180) Rs. 171

Question 12

If books bought at price ranging from Rs. 200 to Rs. 350 are sold at prices ranging from Rs. 300 to Rs. 425, what is the greatest possible profit that might be made in selling 8 books?

Accepted Answer

∵ Profit is maximum when C.P. is minimum and S.P. is maximum Thus, C.P. = Rs. (200 x 8) = Rs. 1600 S.P. = Rs. (425 x 8) = Rs. 3400 ∴ Gain = Rs. 1800

Question 13

By selling 8 dozen of pencils, a shopkeeper gains the selling price of a 1 dozen pencils. His gain percent is?

Accepted Answer

∵ Gain = (S.P. of 8 dozen ) - (C.P. of 8 dozen ) ⇒ (S.P. of 1 dozen) = (S.P. of 8 dozen ) - (C.P. of 8 dozen) ∴ (C.P. of 8 dozen ) = (S.P. of 7 dozen) Let C.P. of each dozen be Re. 1 ⇒ C.P. of 7 dozen = Rs. 7 ⇒ S.P. of 7 dozen = Rs. 8 ∴ Gain % = (1 / 7 x 100)% = 142/7 %

Question 14

By selling 36 oranges, a vender loses the selling price of 4 orange. His loss per cent is?

Accepted Answer

∵ Loss = C.P. of 36 oranges - S.P. of 36 oranges ⇒ S.P. of 4 = C.P. of 36 - S.P.of 36 ∴ S.P.of 40 = C.P. of 36 Let C.P. of each oranges = Re. 1 ⇒ C.P.of 40 = Rs. 40 ⇒ S.P. of 40 = Rs. 36 ∴ Loss = (4 / 40 ) x 100 % = 10%

Question 15

While selling a watch a shopkeeper gives a discount of 5%. If he gives a discount of 7%, he earns Rs. 15 less as profit. What is the marked price of the watch?

Accepted Answer

Let the marked price be Rs. x Then, (7% of x ) - 15 = 5% of x ⇒ 7x / 100 - 5x / 100 = 15 ∴ x = 750

Question 16

A sells a horse to B for Rs. 4860, thereby losing 19 percent, B sells it to C at a price which would have given A, 17 percent profit. Find B's gain?

Accepted Answer

Cost of the horse paid by A = (4860 x 100) / 81 = Rs. 6000 Cost of the horse paid by C = (6000 x 117) / 100 = Rs. 7020 Gain of B = Rs. 7020 - Rs. 4860 = Rs. 2160

Question 17

The cost price of an article, which on being sold at a gain of 12% yields Rs. 6 more then when it is sold at a loss of 12% is?

Accepted Answer

Let the C.P. be Rs. x Then, S.P. when gain is 12% = 12x / 100 ∵ 112x / 100 - 88x / 100 = 6 ⇒ 24x / 100 = 6 ⇒ x = 600 / 24 = Rs. 25

Question 18

When the price of pressure cooker was increased by 15%, its sale fell down by 15%. The effect one the money receipt was?

Accepted Answer

Let the original cost of each cooker be Re. 1 and let the number sold originally be 100. Total sale proceeds = Rs. (100 x 1) = Rs. 100 New rate = (115% of Re. 1 ) = Rs . 1.15 Number sold now = 85 ∴ Sale proceed now = Rs. (1.15 x 85) = Rs. 97.75 So, there is a decrease of 2.25% in the money receipt.

Question 19

Subhash purchased a tape recorder at 9 / 10 th of its selling price and sold it at 8% more than its selling prices. His gain is?

Accepted Answer

Let the S.P. be Rs. P Then, C.P. paid by subhash = Rs. (9 x P)/10 S.P. received by subhash = (108% of Rs. P) = Rs. (27 x P) / 25 ∴ Gain = Rs.(27 x P) / 25 - (9 x P) / 10 = Rs. (9 x P) / 50 Hence, Gain% = (9P / 50) x (10P / 9) x 100 % = 20%

Question 20

By selling 100 bananas, fruit seller gains the selling price of 20 bananas. His gain per cent is?

Accepted Answer

∵ Gain = (S.P. of 100 bananas) - (C.P. of 100 bananas) ⇒ (S.P.of 20) = (S.P of 100) - (C.P. of 100) ⇒ S.P.of 80 = C.P. of 100 Let C.P. of each banana = Re. 1 C.P. of 80 banana = Rs. 80 S.P. of 80 banana = Rs. 100 ∴ Gain % = (20 / 80) x 100 % = 25%

Profit and Loss Questions