Multiple choice

A college, while purchasing 500 books, gets a discount of 40%. If it distributes 1/5 of the books (free of cost) to the students belonging to the economically weaker section free and sells the rest through its book shop at 10% discount, find the college's profit/loss percent.

  1. 25% profit

  2. 10% loss

  3. No profit, no loss

  4. 20% profit

  5. 49% loss
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Cost of 500 books = 500 * (1 - 0.4) = 300 units. 1/5 of 500 = 100 books given free. Remaining 400 books sold at 10% discount (0.9 price). Revenue = 400 * 0.9 = 360 units. Profit = 360 - 300 = 60. Profit % = (60/300) * 100 = 20%.

AI explanation

Assume the printed price of 500 books is Rs. 500, so the college buys them for Rs. 300 after a 40% discount. The college gives away 100 books free and sells the remaining 400 books at a 10% discount on the printed price, making 400 times 0.9, which is Rs. 360. The profit is 360 minus 300, equal to Rs. 60. The profit percentage is (60 / 300) multiplied by 100, yielding a 20% profit.

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