Multiple choice

The cost price of 20 books is the same as the selling price of 'X' books. If the profit is 25%, then the value of X is?

  1. 25

  2. 18

  3. 14

  4. 16

  5. 15
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let the cost price of one book be 1. The cost of 20 books is 20. The selling price of X books is 20, and the profit is 25%. Selling price = Cost price * 1.25. So, 20 = (Cost of X books) * 1.25. Cost of X books = 20 / 1.25 = 16. Since each book costs 1, X = 16.

AI explanation

Let the cost price (CP) of one book be Rs. 1, making the total cost for 20 books Rs. 20. Since the selling price of X books equals the cost price of 20 books, the selling price (SP) of one book is 20/X. Using the profit percentage formula, ((SP - CP) / CP) * 100 = 25, we substitute the values to get ((20/X - 1) / 1) * 100 = 25. Solving this equation, 20/X = 1.25, which means X = 16.

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