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

The price of a jewel, passing through three hands, rises on the whole by 65%. If the first and the second sellers earned 20% and 25% profit, respectively, find the percentage profit earned by the third seller.

  1. 20%

  2. 10%

  3. 25%

  4. No gain or loss

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

Let initial price = 100. Final price = 165. Seller 1 profit 20%: Price becomes 120. Seller 2 profit 25%: Price becomes 120 * 1.25 = 150. Seller 3 profit x%: 150 * (1 + x/100) = 165. 1 + x/100 = 165/150 = 1.1. x = 10%.

Multiple choice

A grain merchant does not think much of ethical practice. His only aim is to earn as much profit as possible. Which of the following would best serve his purpose? I. Fixing selling price one-eighth above the cost price II. Mixing stones (available for free) 12.5% by weight of original mixture and fixing selling price at cost price III. Using an 8.75 kg weight for 10 kg weight and selling at cost price IV. Selling only 15/16th of the weight kept on balance by cheating and fixing the selling price 6.25% above the cost price

  1. I

  2. I and II

  3. IV

  4. III

  5. I and III
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

I: Profit = 1/8 = 12.5%. II: Cost = 100, Weight = 112.5, Selling Price = 100. Profit = (112.5-100)/100 = 12.5%. III: Selling 8.75kg for the price of 10kg. Profit = (10-8.75)/8.75 = 1.25/8.75 = 1/7 = 14.28%. IV: Selling 15/16 weight at 106.25% price. Profit = (1.0625 / (15/16)) - 1 = (1.0625 * 16 / 15) - 1 = 1.133 - 1 = 13.3%. III yields the highest profit.

Multiple choice

A shopkeeper earns a profit of 25% on selling an article at 14% discount on the marked price. If the selling price (SP) of the article is Rs. 559, find the difference between the SP and the marked price of the article.

  1. Rs. 49

  2. Rs. 91

  3. Rs. 52

  4. Rs. 43

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

SP = 559. Profit = 25%, so Cost Price = 559 / 1.25 = 447.2. Discount = 14%, so SP = 0.86 * MP = 559. MP = 559 / 0.86 = 650. Difference between MP and SP = 650 - 559 = 91.

Multiple choice

Directions: In the following question, you have to find out which of the following statement/statements are sufficient for determining answer of the given question. Rebecca bought a dress, for which she paid Rs. 1654.40. She got two successive discounts on that dress. What is the second discount? I. The marked price of the dress is Rs. 2160. II. The first discount is of 10%. III. The first discount is less than the second discount.

  1. Only I is sufficient.

  2. Only II is sufficient.

  3. Only I and II are sufficient.

  4. Either I or III is sufficient.

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

Let MP = 2160. First discount 10% means price becomes 2160 * 0.9 = 1944. If we know the final price is 1654.40, we can find the second discount rate. Both I and II are required.

Multiple choice

A person offers 20% discount on the marked price of an article. Due to this, he incurs a loss of 50%. What profit or loss percent will he get if he sells the article at 165% of the marked price?

  1. 3.125% profit

  2. 2.5% loss

  3. 1.8% profit

  4. 2% loss

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

Let MP = 100. Selling price at 20% discount = 80. Loss of 50% means CP = 160. Selling at 165% of MP = 165. Profit = 165 - 160 = 5. Profit % = (5/160) * 100 = 3.125%.

Multiple choice

The Mindworkzz prints 5000 copies of a magazine for 5,00,000 every month. In the July issue of the magazine, Mindworkzz distributed 500 copies free. Besides, it was able to sell 2/3 of the remaining magazines at 20% discount. Besides, the remaining magazines were sold at the printed price of the magazine (which was 200). Find the percentage profit of Mindworkzz in the magazine venture in the month of July (assume a uniform 20% of the sale price as the vendor's discount and also assume that Mindworkzz earns no income from advertising for the issue).

  1. 56

  2. 24.8

  3. 28.5

  4. 22.6
Reveal answer Fill a bubble to check yourself
B Correct answer
Multiple choice

The cost price of 2 mobiles taken together is Rs. 8400. If, by selling one at a profit of 20% and the other at a loss of 12%, there is no loss or gain in the whole transaction, then the CP of two mobiles is

  1. Rs. 4500 and Rs. 5500

  2. Rs. 1500 and Rs. 3500

  3. Rs. 3150 and Rs. 5150

  4. Rs. 3150 and Rs. 5250

  5. Rs. 3510 and Rs. 5520
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let CP1 = x, CP2 = 8400 - x. 0.2x = 0.12(8400 - x). 0.2x = 1008 - 0.12x. 0.32x = 1008. x = 3150. CP2 = 8400 - 3150 = 5250.

Multiple choice

Riya purchased two bicycles A and B at different prices. After selling them at discounts of 15% and 10%, respectively, she raised p% profit on bicycle A and l% loss on bicycle B. If the marked prices of both bicycles were same, then which of the following options could be the cost prices of the bicycles given that (p - l) = 3, where p and l are whole numbers?

  1. A - 5000, B - 7500

  2. A - 3500, B - 1500

  3. A - 3200, B - 5000

  4. A - 7500, B - 3500

  5. A - 6500, B - 7500
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let CP be C1 and C2. Selling prices are 0.85*MP and 0.9*MP. Profit/loss percentages are p = (0.85*MP/C1 - 1)*100 and l = (1 - 0.9*MP/C2)*100. Given p-l=3, testing the options shows that A=5000 and B=7500 satisfies the condition for whole numbers p and l.

Multiple choice

Cost price of Object B is double the cost price of Object A and profit on both objects A and B is the same. Find the cost price of Object B, if the selling price of objects A and B are Rs. 250 and Rs. 315, respectively.

  1. Rs. 65

  2. Rs. 100

  3. Rs. 215

  4. Rs. 130

  5. Rs. 165
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let CP of A be x, CP of B be 2x. Profit = SP - CP. Profit A = 250 - x. Profit B = 315 - 2x. Since profits are equal: 250 - x = 315 - 2x. x = 65. CP of B = 2x = 130.

Multiple choice

A fruit vendor buys fruits at Rs. 112/kg and sells at a loss of 12.5%. If he decides to sell fruits at 25% above the current selling price, after giving a discount of 65%, then find the difference between the current marked price and the cost price.

  1. Rs. 238

  2. Rs. 252

  3. Rs. 264

  4. Rs. 314

  5. Rs. 380
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

CP = 112. Loss 12.5% means SP = 112 * 0.875 = 98. Current SP = 98. New SP = 98 * 1.25 = 122.5. Discount 65% on MP means 0.35 * MP = 122.5, so MP = 350. Difference between MP and CP = 350 - 112 = 238.

Multiple choice

A shopkeeper sold an article for Rs. 2420 and earned a percentage profit equal to the percentage loss incurred by him when he sold the same article for Rs. 1580. What will be the selling price of the article, if he wants to make a profit of 25%?

  1. Rs. 2500

  2. Rs. 2650

  3. Rs. 2800

  4. Rs. 2850

  5. Rs. 3000
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let CP be x. Profit = 2420-x, Loss = x-1580. Profit% = Loss% -> (2420-x)/x = (x-1580)/x. 2420-x = x-1580 -> 2x = 4000 -> x = 2000. 25% profit on 2000 = 2000 * 1.25 = 2500.