Profit, Loss & Discount Questions with Solutions

7 questions2 easy3 medium2 hard

Profit and loss questions deal with buying and selling: cost price, selling price, marked price, profit or loss percentage, and discounts. Profit or loss percentage is always calculated on the cost price, while discount percentage is calculated on the marked price, and mixing these up is the most common mistake. Questions test successive discounts, dishonest dealers using false weights, selling two articles at the same price with one at a profit and one at a loss, marking up goods and then offering a discount, and finding the cost price from given conditions. Converting percentages to fractions makes most of these questions quick. For example, a 25% profit means SP = 5/4 of CP. Practise the profit, loss and discount questions below. Each has a step-by-step solution and a fraction-based shortcut where it helps.

  1. Q1.

    By selling 45 lemons for ₹40, a man loses 20%. How many lemons should he sell for ₹24 to gain 20%?

    A. 18B. 20C. 16D. 22
    hardAsked in MAH MBA CET 2024View solution ›
  2. Q2.

    The marked price of an article is 1.45 times its cost price. Its selling price is ₹1,500 and the profit is 25%. What is the discount percentage?

    A. B. C. D.
    hardAsked in RBI Grade B Phase 1 2022View solution ›
  3. Q3.

    Ritu purchased 20 dozen bananas at Rs. 375 per dozen. She sold each of them at Rs. 33. What was her profit percentage?

    A. 6.5%B. 12.3%C. 10%D. 5.6%
    easyAsked in NIMCET 2023View solution ›
  4. Q4.

    A shopkeeper marks his goods 25% above the cost price and allows a discount of 12%. His profit per cent is

    A. 10%B. 12%C. 13%D. 15%
    mediumView solution ›
  5. Q5.

    By selling an article for ₹ 720, a man loses 10%. At what price should he sell it to gain 15%?

    A. ₹ 828B. ₹ 900C. ₹ 920D. ₹ 945
    easyView solution ›
  6. Q6.

    A dealer offers a cash discount of 20% and still makes a profit of 20% when he further allows 16 articles to a dozen to a particularly sticky bargainer. How much percent above the cost price was the listed price of the article?

    A. 100%B. 80%C. 75%D. 66%
    mediumAsked in NIMCET 2019View solution ›
  7. Q7.

    After allowing a 20% cash discount, a trader still earns a profit of 11.11%. How much above the cost price does the trader mark his goods?

    A. 38.88%B. 40%C. 30.33%D. 28%
    mediumAsked in NIMCET 2024View solution ›