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

A video cassette distributor made 3500 copies of the march issue of the cassette at a cost of Rs. 350000. He gave 500 cassettes free to some key video libraries. He also allowed a 25% discount on the market price of the cassette and gave one extra cassette free with every 29 cassettes bought at a time. In this manner, he was able to sell all the 3500 cassettes that were produced. If the market price of a cassette was Rs. 150, then what is his gain or loss percent for the march issue of video cassettes(in approximate).

  1. 6.8% loss

  2. 6.8% profit

  3. 5.2% loss

  4. 5.2% profit
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Total cost = 350,000. 500 free cassettes leaves 3000 to be sold. One free with every 29 bought means for every 30 cassettes, 1 is free. Selling 3000 total means 100 sets of 30, so 100 free and 2900 paid. Total revenue = 2900 * 150 * 0.75 = 326,250. Loss = 350,000 - 326,250 = 23,750. Loss % = (23,750 / 350,000) * 100 = 6.78%.

Multiple choice

Find the selling price of goods if two salesmen claim to make 25% profits each, one calculating it on cost price while another on the selling price, the difference in the profits earned being Rs 100 and selling price being the same in both the cases.

  1. 500

  2. 1000

  3. 1500

  4. 2000
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let SP be S. Profit 1 (on CP) = 0.25 * CP1 = S - CP1 => 1.25 * CP1 = S => CP1 = S/1.25 = 0.8S. Profit 1 = 0.2S. Profit 2 (on SP) = 0.25 * S. Difference = 0.25S - 0.2S = 0.05S = 100. S = 2000.

Multiple choice

Study the table carefully to answer the following questions. Name of goods Cost of production per kg Cost of transportation Cost of packaging Selling price per kg Profit/Loss %age of profit/ loss Ghee Rs. 80 Rs. 8 Rs. 120 Rice Rs. 40 0 0 5% profit Sugar Rs. 45 Rs. 5 Rs. 50 Milk Rs. 20 Rs. 3 Rs. 1 Pulse Rs. 70 Rs. 10 Rs. 90 6% loss If the percentage of profit on sold Ghee is 10%, then what is its cost of packaging?

  1. 21.09

  2. 22.45

  3. 23.69

  4. 24.88
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Total cost = 80 + 8 + Packaging = 88 + P. Selling Price = 120. Profit = 10% of (88+P). 120 = 1.1 * (88+P). 120/1.1 = 88+P. 109.09 = 88+P. P = 21.09.

Multiple choice

Study the table carefully to answer the following questions. Name of goods Cost of production per kg Cost of transportation Cost of packaging Selling price per kg Profit/Loss %age of profit/ loss Ghee Rs. 80 Rs. 8 Rs. 120 Rice Rs. 40 0 0 5% profit Sugar Rs. 45 Rs. 5 Rs. 50 Milk Rs. 20 Rs. 3 Rs. 1 Pulse Rs. 70 Rs. 10 Rs. 90 6% loss What is the difference between the selling price of Sugar and that of Rice, if the cost of transportation is zero for both?

  1. 48

  2. 44

  3. 50

  4. 52
Reveal answer Fill a bubble to check yourself
A Correct answer
Multiple choice

In a local shop, as part of promotional measures, the shop owner sells 3 different varieties of soap, one at a loss of 13 percent, another at a profit of 23 percent and the third one at a loss of 26 percent. Assuming that the shop owner sells all 3 varieties of soap at the same price, the approximate percentage by which average cost price is lower or higher than the selling price is

  1. 10.5 higher

  2. 12.5 lower

  3. 14.5 lower

  4. 8.5 higher
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let SP = 100 for each. CP1 = 100/0.87 = 114.94. CP2 = 100/1.23 = 81.30. CP3 = 100/0.74 = 135.14. Average CP = (114.94 + 81.30 + 135.14) / 3 = 110.46. Average CP is 10.46 percent higher than SP.

Multiple choice

Cheap and Best, a kirana shop bought some apples at 4 per rupee and an equal number at 5 per rupee. He then sold the entire quantity at 9 for 2 rupees. What is his percentage profit or loss?

  1. 1.23% loss

  2. 6.66% profit

  3. 8.888% loss

  4. No profit no loss
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Cost of 1 apple (first batch) = 1/4. Cost of 1 apple (second batch) = 1/5. Average cost of 2 apples = 1/4 + 1/5 = 9/20. Cost per apple = 9/40. Selling price per apple = 2/9. Loss = 9/40 - 2/9 = (81 - 80) / 360 = 1/360. Loss % = (1/360) / (9/40) * 100 = (1/360) * (40/9) * 100 = 40/81 * 100 = 1.23%.

Multiple choice

A shopkeeper offered two successive discounts of 10% on a product and still made profit of Rs. 225. If he earned profit of 12.5%, what was the marked price?

  1. Rs. 2250

  2. Rs. 2500

  3. Rs. 2350

  4. Rs. 2025

  5. Rs. 1800
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let MP be x. SP = x * 0.9 * 0.9 = 0.81x. Profit = 12.5% of CP. SP = 1.125 * CP. Also, SP = CP + 225. 1.125 * CP = CP + 225 => 0.125 * CP = 225 => CP = 1800. SP = 1800 + 225 = 2025. 0.81x = 2025 => x = 2500.