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 fruit vendor purchased 100 boxes of apples from a wholesale market at $50 each. If 10 boxes out of them were found completely damaged and he wishes to earn a 20 percent profit, what price should he charge on the remaining boxes?
  1. $56.33 per box
  2. $66.66 per box
  3. $72.25 per box
  4. $80.33 per box

  5. Data insufficient
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Total cost is 100 * 50 = 5000. To earn 20% profit, total revenue must be 5000 * 1.2 = 6000. With 10 boxes damaged, 90 boxes remain. Price per box = 6000 / 90 = 66.66.

Multiple choice

A shopkeeper gives two successive discounts of 20% and 10% on the marked price of a music system. What are the selling price and discount on the music system if the marked price is Rs. 800?

  1. SP = Rs. 676, Discount = Rs. 224

  2. SP = Rs. 576, Discount = Rs. 244

  3. SP = Rs. 576, Discount = Rs. 222

  4. SP = Rs. 576, Discount = Rs. 224

  5. SP = Rs. 675, Discount = Rs. 224
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

First discount 20% of 800 = 160. Price = 640. Second discount 10% of 640 = 64. Selling price = 640 - 64 = 576. Total discount = 160 + 64 = 224.

Multiple choice

A man buys two cycles at a total cost of Rs. 900. By selling one cycle for 4/5th of its cost and the other for 5/4th of its cost, he makes a profit of Rs. 90 on the whole transaction. Find the cost prices of both the cycles.

  1. Rs. 300 and Rs. 600, respectively

  2. Rs. 400 and Rs. 500, respectively

  3. Rs. 450 and Rs. 450, respectively

  4. Rs. 700 and Rs. 200, respectively

  5. Rs. 500 and Rs. 100, respectively
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let CP1 = x, CP2 = 900 - x. Profit = (5/4)x - x + (4/5)(900 - x) - (900 - x) = 90. (1/4)x - (1/5)(900 - x) = 90. (1/4)x - 180 + (1/5)x = 90. (9/20)x = 270. x = 600. CP1 = 600, CP2 = 300.

Multiple choice

Kamya purchased an item for Rs. 7,46,000 and sold it at a loss of 12 percent. With that amount she purchased another item and sold it at a gain of 12 percent. What was her overall gain/loss?

  1. Profit of Rs. 642.8

  2. Profit of Rs. 662.4

  3. Loss of Rs. 642.8

  4. Loss of Rs. 10742.4

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

Successive percentage changes of -12% and +12% result in a net change of - (12^2)/100 = -1.44%. Loss = 1.44% of 746000 = 10742.4.

Multiple choice

A manufacturer makes a profit of 15% by selling a colour TV worth Rs. 6900. If the cost of manufacturing increases by 30% and the price paid by the retailer is increased by 20%, then find the profit per cent made by the manufacturer.

  1. 6%

  2. 6.15%

  3. 6.75%

  4. 7%
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Original cost price (CP) = 6900 / 1.15 = 6000. New CP = 6000 * 1.3 = 7800. New selling price (SP) = 6900 * 1.2 = 8280. Profit = 8280 - 7800 = 480. Profit percentage = (480 / 7800) * 100 = 6.1538%.