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

Directions: In the following question, we have two quantities given. Compare these quantities and answer accordingly. Quantity I. Selling price of an article, if the article is sold at 20% loss on the cost price of Rs. 18,900 Quantity II. Cost price of an article, if the article is sold at 10% profit and the selling price is Rs. 17,600

  1. Quantity I > Quantity II

  2. Quantity I < Quantity II

  3. Quantity I ≥ Quantity II

  4. Quantity I ≤ Quantity II

  5. Quantity I = Quantity II or No relation
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Quantity I: 20% loss on 18,900 is 18,900 * 0.8 = 15,120. Quantity II: 10% profit means 1.1 * CP = 17,600, so CP = 17,600 / 1.1 = 16,000. Since 15,120 < 16,000, Quantity I < Quantity II.

Multiple choice

Sonali bought two phones Vivo and Lenovo for Rs. 14,250 in all. She sold Vivo phone at a profit of 10% and Lenovo phone at a loss of 20%. If she sold both the phones at the same price, then what is the difference between the cost prices of both the phones?

  1. Rs. 2,225

  2. Rs. 2,275

  3. Rs. 2,205

  4. Rs. 2,250

  5. Rs. 2,200
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let C1 and C2 be costs. C1 + C2 = 14250. 1.1 * C1 = 0.8 * C2. C2 = 1.1/0.8 * C1 = 1.375 * C1. 2.375 * C1 = 14250. C1 = 6000. C2 = 8250. Difference = 2250.

Multiple choice

If the marked price of an item is Rs. 2,000 and a shopkeeper is giving different successive discounts to customers to buy that item, then which of the followings should be preferred by the customers? (i) 30% and 30% (ii) 20% and 40% (iii) 50% and 10% (iv) 25% and 35%

  1. (i)

  2. (ii)

  3. (iii)

  4. (iv)

  5. (i) and (ii)
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Successive discounts of a% and b% result in a total discount of (a + b - ab/100)%. (i) 30+30-9 = 51%. (ii) 20+40-8 = 52%. (iii) 50+10-5 = 55%. (iv) 25+35-8.75 = 51.25%. The highest discount is best for the customer.

Multiple choice

The sum of the cost prices of two bikes is Rs. 77,000. The first bike is sold at a profit of 12.5% and the second bike is sold at a loss of 20%. However, their selling price is same. How much is the cost price of first bike less than that of the second bike?

  1. Rs. 12,000

  2. Rs. 13,000

  3. Rs. 14,000

  4. Rs. 15,000

  5. Rs. 13,500
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let C1, C2 be cost prices. C1 + C2 = 77000. Selling prices: 1.125 * C1 = 0.8 * C2. C2 = 1.125/0.8 * C1 = 1.40625 * C1. C1 + 1.40625 * C1 = 77000 => 2.40625 * C1 = 77000 => C1 = 32000. C2 = 45000. Difference = 45000 - 32000 = 13000.

Multiple choice

Meena bought two fans for Rs.1200 each. She sold one at a loss of 5% and the other at a profit of 10%. What will be the total profit percent or loss percent? Meena bought two fans for Rs.1200 each. She sold one at a loss of 5% and the other at a profit of 10%. What will be the total profit percent or loss percent?

  1. 1.2% loss/ இழப்பு

  2. 1.2% profit/ லாபம்

  3. 2.5% profit/ லாபம்

  4. 2.5 % loss/ இழப்பு

  5. None / இவற்றில் ஏதுமில்லை
Reveal answer Fill a bubble to check yourself
A Correct answer
Multiple choice

A man sells his goods at a certain price, 20% of which is his profit. If the price at which he buys the goods increases by 10% and he sells them at an 8% higher price, then what will be his profit percent (correct to one decimal place)?

  1. 21.8

  2. 23.4

  3. 21.4

  4. 17.8%
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let the cost price be 100. Profit is 20, so selling price is 120. New cost price is 110 (10% increase). New selling price is 120 * 1.08 = 129.6. New profit is 129.6 - 110 = 19.6. Profit percent is (19.6 / 110) * 100 = 17.818%, which rounds to 17.8%.