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 man purchased 200 watches at the rate of Rs. 300 each. He spent Rs. 3000 on transport and packing. He marked the price of each watch at Rs. 370, and he decided to offer a discount of 10% on the marked price. What was percentage profit earned by him upon selling the stock?

  1. 4.76%

  2. 8%

  3. 5.7%

  4. 6.5%

  5. 7%
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Total CP = (200 * 300) + 3000 = 63000. Total MP = 200 * 370 = 74000. SP after 10% discount = 74000 * 0.9 = 66600. Profit = 66600 - 63000 = 3600. Profit % = (3600 / 63000) * 100 = 5.71%.

Multiple choice

A man purchased an article for Rs. 1,800 and he spent Rs. 165 on its transportation and Rs. 35 on its installation. Now he gets bored of it and wants to sell it. For this, he allows a discount of 30% to a customer but he wants to make a profit of 40% in this deal. So, at what price should he mark his article?

  1. Rs. 3,571.42

  2. Rs. 4,000

  3. Rs. 3,500

  4. Rs. 5,000

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Total cost = 1800 + 165 + 35 = 2000. Desired profit = 40% of 2000 = 800. Required selling price = 2800. Discount = 30%, so 2800 = 0.7 * Marked Price. Marked Price = 2800 / 0.7 = 4000.

Multiple choice

Rahul bought two cycles for a total sum of Rs. 1,500. He sold one cycle at 20% loss and the other cycle at 20% gain. If the selling price of both the cycles is the same, find the cost price of each of the two cycles.

  1. Rs. 500, Rs. 1,000

  2. Rs. 600, Rs. 900

  3. Rs. 750 each

  4. Rs. 550, Rs. 950
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let CP1 and CP2 be the costs. CP1 + CP2 = 1500. SP1 = 0.8 * CP1. SP2 = 1.2 * CP2. 0.8 * CP1 = 1.2 * CP2 => CP1 = 1.5 * CP2. 1.5 * CP2 + CP2 = 1500 => 2.5 * CP2 = 1500 => CP2 = 600. CP1 = 900.

Multiple choice

A publisher publishes 2000 copies of a book at a cost of Rs. 70,000. He distributes 400 copies free as specimen copies. For the rest of books he gave a 30% discount on the marked price of each book and the marked price is given as Rs. 75. What is his gain or loss percentage?

  1. 28%

  2. 25%

  3. 20%

  4. 32%

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Cost = 70000. 2000 copies, 400 free, 1600 sold. Marked price = 75. Discount 30% = 52.5 per book. Revenue = 1600 * 52.5 = 84000. Profit = 84000 - 70000 = 14000. Profit % = (14000/70000) * 100 = 20%.

Multiple choice

Ayushman sold his bike to Satish at 22% profit. Satish sold it to the Deepak and then, Deepak sold it to Ranveer at the same margin. Ranveer marked up the cost by 20% and then offered a 15% discount to Chetan. If Chetan had bought it from Ayushman directly (Ayushman still keeping his 22% profit margin), then what approximate percentage reduction in price would he have got?

  1. 51%

  2. 32%

  3. 34%

  4. 44%

  5. 25%
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let the initial cost be 100. After three successive 22% profit markups, the price becomes 100 * 1.22^3 = 181.58. Ranveer then marks up by 20% (181.58 * 1.2 = 217.9) and offers a 15% discount (217.9 * 0.85 = 185.21). If Chetan bought directly from Ayushman at 22% profit, the price would be 122. The reduction is (185.21 - 122) / 185.21, which is approximately 34%.