Quantitative Aptitude

Profit, Loss and Discount

2,604 Questions
All Basic CP/SP Percentage Relationship 874 Marked Price, Markup, and Discount 786 Partial Sales and Multiple Transactions 338 Successive Discounts 218 Cost Price of X = Selling Price of Y 180 Faulty Weight or Measure 126 Equal Profit and Loss Rates 57 Free-item Offers 23 Price and Consumption Variation 1

Profit, Loss and Discount Questions

Multiple choice

Ratio between marked price of article A to article B is 4:5. Shopkeeper allowed d% discount on article 'A' and (d + 18) % discount on article 'B', so selling price of both articles become equal If shopkeeper made a profit of 20% on article A and 25% on article B and profit made on article B is Rs. 384 more than that of article A, then find the cost price of article 'A' and article 'B' respectively?

  1. 9600 Rs., 9200 Rs.

  2. 9600 Rs., 9216 Rs.

  3. 9600 Rs., 9126 Rs.

  4. 9600 Rs., 9288 Rs.

  5. 9400 Rs., 9216 Rs.
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let MP of A be 4x and B be 5x. SP_A = 4x(1 - d/100) = 1.2 * CP_A. SP_B = 5x(1 - (d+18)/100) = 1.25 * CP_B. Since SP_A = SP_B, we relate CP_A and CP_B. Using the profit difference (1.25 * CP_B - 1.2 * CP_A = 384), we solve the system to find CP_A = 9600 and CP_B = 9216.

Multiple choice

The ratio of the cost prices of articles A and B is 4 : 5 respectively and that of their selling prices is 7 : 6 respectively. If the profit on selling article A is 40%, then what is the profit / loss percentage on selling article B?

  1. 8% profit

  2. 8% loss

  3. 4% profit

  4. 4% loss

  5. None
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let CP of A be 4x and B be 5x. SP of A is 7y and B is 6y. Profit on A is 40%, so 7y = 1.4 * 4x, which means 7y = 5.6x, so y = 0.8x. SP of B is 6 * 0.8x = 4.8x. Since CP is 5x and SP is 4.8x, the loss is 0.2x. Loss percentage = (0.2x / 5x) * 100 = 4%.

Multiple choice

Sunny bought two articles A and B. Ratio between cost price of article A to article B is 4 : 5. He marked article 'A' 150% above its cost price and give 40% discount at the time of selling. If profit earned on both article and mark price of both article is same, then find discount given on article 'B'?

  1. a)25%

  2. b)35%

  3. c)40%

  4. d)30%

  5. e)20%
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let CP of A = 4x, CP of B = 5x. MP of A = 4x * 2.5 = 10x. Selling Price of A = 10x * 0.6 = 6x. Profit on A = 6x - 4x = 2x. Since profit on B is also 2x, SP of B = 5x + 2x = 7x. MP of B = MP of A = 10x. Discount on B = MP - SP = 10x - 7x = 3x. Discount percentage = (3x / 10x) * 100 = 30%.

Multiple choice

Two successive discounts of 20% and 30% are given on the Marked Price of an article. If the Marked Price is y % of the Cost Price, then the profit obtained is _____ % and if the Marked Price is 0.5y % of the Cost Price, then the profit obtained is ____ %. Which of the following options is/are possible for the blanks in same order? A. 120 and 10 B. 124 and 12 C. 152 and 24 D. 114 and 6 E. 108 and 4

  1. Only A

  2. Only B

  3. Both A and B

  4. Both B and D

  5. Both A and D
Reveal answer Fill a bubble to check yourself
B Correct answer
Multiple choice

Two identical chairs A and B were bought at same cost price and were sold at different prices. If the total profit obtained was 36%, then chair A was sold at _% profit and chair B was sold at _ % loss. Which of the following options is/are possible for the blanks in same order? A. 80 and 8 B. 72 and 0 C. 90 and 9 D. 84 and 8 E. 100 and 20

  1. B only

  2. Both B and C

  3. Both C and E

  4. Both B and A

  5. B, A and C
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let CP of each chair be 100. Total CP = 200. Total SP = 200 * 1.36 = 272. SP_A + SP_B = 272. If A is sold at x percent profit and B at y percent loss, (100+x) + (100-y) = 272, so x - y = 72. Option B (72, 0) gives 72 - 0 = 72. Option A (80, 8) gives 80 - 8 = 72. Both A and B satisfy the condition.