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

Rajat and Shruti went to buy a new tablet for gaming. The cost of the said article was Rs. 15,700. The shopkeeper gave a discount of x% on the article after marking up the price by y%. If x is the smallest composite number that can be expressed as a sum of 4 prime numbers and y is the remainder when x is divided by the smallest 2-digit number having exactly 2 factors, then what is the profit or loss %?

  1. 10.9%

  2. 11.8%

  3. 13.1%

  4. 21%

  5. 14.23%
Reveal answer Fill a bubble to check yourself
C Correct answer
Multiple choice

The total cost of a stove with cooker was Rs. 13,125. The cooker was sold at a profit of 30% and the stove at a loss of 20%. If the sale price was the same for both the items, then the cost price of the cheaper item of the two was

  1. Rs. 8125

  2. Rs. 5000

  3. Rs. 6562.5

  4. Rs. 6175
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let C1 and C2 be costs. C1(1.3) = C2(0.8) = S. C1+C2 = 13125. C2 = 1.3/0.8 * C1 = 1.625 * C1. C1 + 1.625 * C1 = 13125 => 2.625 * C1 = 13125 => C1 = 5000. C2 = 8125. The cheaper item is 5000.

Multiple choice

If a merchant offers a discount of 25% on the list price, he incurs a loss of 5%. What would be his profit or loss percentage if he sells at a discount of 10% of the list price?

  1. 5.5% loss

  2. 14% profit

  3. 50% profit

  4. 26% loss
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let the list price be 100. A 25% discount gives a selling price of 75, which represents a 5% loss, meaning the cost price is 75 / 0.95 = 78.95. Selling at a 10% discount gives a selling price of 90, yielding a profit of 90 - 78.95 = 11.05, which is (11.05 / 78.95) * 100 = 14% profit.

Multiple choice

A person sold an article at 20% profit on the selling price. Afterwards, when the cost price is reduced by 10%, he also reduces the selling price by 10%. His percentage profit on cost price will be

  1. 30

  2. 25

  3. 22.5

  4. 12.5
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let CP = 100. Selling price (SP) is such that 20% of SP is profit, so Profit = 0.2*SP. Since Profit = SP - CP, we have 0.2*SP = SP - 100, leading to 0.8*SP = 100, so SP = 125. After 10% reduction, new CP = 90 and new SP = 125 * 0.9 = 112.5. Profit = 112.5 - 90 = 22.5, and profit percentage on cost = (22.5/90)*100 = 25%.

Multiple choice

Marked price of an item is Rs. 900. On purchase of 2 items, discount is 6% and on purchase of 3 items, discount is 12%. Rajani buys 5 items then what is the effective discount?

  1. 17.5 percent

  2. 9.6 percent

  3. 35 percent

  4. 37 percent
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Total marked price for 5 items = 5 * 900 = 4500. Discount on 2 items = 6% of 1800 = 108. Discount on 3 items = 12% of 2700 = 324. Total discount = 108 + 324 = 432. Effective discount percentage = (432 / 4500) * 100 = 9.6%.