Multiple choice

Aniket deposited two parts of a sum of Rs. 25000 in different banks at the rates of 15% per annum and 18% per annum, respectively. In one year, he got Rs. 4050 as the total interest. What was the amount deposited at the rate of 18% per annum?

  1. Rs. 10000

  2. Rs. 18000

  3. Rs. 15000

  4. Rs. 12000

  5. None of these
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A Correct answer
Explanation

Let x be the amount at 18%. Then (25000 - x) is at 15%. 0.18x + 0.15(25000 - x) = 4050. 0.18x + 3750 - 0.15x = 4050. 0.03x = 300. x = 10000.

AI explanation

Using the simple interest formula SI = P * R * T / 100, let the amount invested at 18% be Rs. x and the amount invested at 15% be Rs. (25000 - x). The equation for the total interest in one year is (x * 18 * 1)/100 + ((25000 - x) * 15 * 1)/100 = 4050. Multiplying by 100 yields 18x + 375000 - 15x = 405000, and solving for x gives 3x = 30000. The amount deposited at 18% is Rs. 10000.

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