Multiple choice

Directions : Read the following questions carefully and choose the right answer. A person purchased a book and a novel for Rs. 2800. He sold the book at a profit of 10% and the novel at a profit 15.25%. If his total profit was 13%, find the difference between the Cost price of the Book and Novel.

  1. Rs. 200

  2. Rs. 400

  3. Rs. 450

  4. Rs. 350

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Using the allegation method: (15.25 - 13) / (13 - 10) = 2.25 / 3 = 3/4. The ratio of Book to Novel CP is 3:4. Total parts = 7. Each part = 2800/7 = 400. Difference = 4 - 3 = 1 part = 400.

AI explanation

Let the cost price of the book be x, so the cost price of the novel is (2800 - x). Using the individual and total profit percentages, we write the equation 0.10x + 0.1525(2800 - x) = 0.13(2800). Simplifying this gives 0.10x + 427 - 0.1525x = 364, which means 0.0525x = 63. Solving for x gives the cost price of the book as Rs. 1200 and the novel as Rs. 1600, so their difference is Rs. 400.

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