Multiple choice

A person sells a book at a profit of 10%. If he buys it at Rs. _____ less and sells for Rs. _____ more then he will gain 25%. The cost price of this book is Rs. 120. Which of the following options satisfies the two blanks in the question? (i) 12, 5 (ii) 20, 10 (iii) 12, 3 (iv) 15, 10

  1. Only (i)

  2. Only (ii)

  3. Only (iii)

  4. Only (iv)

  5. Only (ii) & (iv)
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

CP = 120. SP1 = 120 * 1.1 = 132. New CP = 120 - x, New SP = 132 + y. New Profit = 25%, so (132 + y) = 1.25 * (120 - x). 132 + y = 150 - 1.25x, so y + 1.25x = 18. Testing (iii) 12, 3: 3 + 1.25(12) = 3 + 15 = 18. This matches.

AI explanation

With an initial cost price of Rs. 120 and a 10 percent profit, the original selling price is Rs. 132. If he buys it for Rs. 12 less, the new cost price becomes Rs. 108. To achieve a 25 percent profit on this new cost, the required profit is 25 percent of 108, which is Rs. 27; adding this to Rs. 108 makes the required new selling price Rs. 135. Since the original selling price was Rs. 132, he must sell it for Rs. 3 more to reach Rs. 135, satisfying option (iii).

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