Multiple choice

Sanjay brought a notebook and a diary for Rs. 50. He sold the notebook at a profit of 10% and diary at a profit of 15%. If his total profit was 12%, find the cost price of diary?

  1. Rs. 20

  2. Rs. 30

  3. Rs. 25

  4. Rs. 40
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A Correct answer
Explanation

Let CP of notebook be x, diary be 50-x. 0.10x + 0.15(50-x) = 0.12 * 50. 0.10x + 7.5 - 0.15x = 6. -0.05x = -1.5. x = 30. Diary CP = 50-30 = 20.

AI explanation

Using the method of alligation, the profit on the notebook is 10 percent and the profit on the diary is 15 percent, while the overall profit is 12 percent. The ratio of the cost price of the notebook to the cost price of the diary is (15 minus 12) to (12 minus 10), which simplifies to 3 to 2. Since the total cost of both items is 50 rupees, the cost price of the diary is (2 divided by 5) multiplied by 50, resulting in 20 rupees.

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