Multiple choice

A sum of Rs. 10,000 was invested under two schemes. In the first scheme, the rate of interest was 10% p.a. and in the second scheme, the rate of interest was 8% p.a. The ratio of interest for the first scheme to that for the second scheme is 15 : 8. Calculate the amount invested in the first scheme.

  1. Rs. 10,000

  2. Rs. 6,000

  3. Rs. 4,000

  4. Rs. 8,000

  5. Rs. 2,000
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let x be the amount in the first scheme and 10000-x in the second. Interest 1 = 0.10x, Interest 2 = 0.08(10000-x). Ratio (0.10x) / (0.08(10000-x)) = 15/8. Solving for x: 0.10x / (800 - 0.08x) = 1.875. 0.10x = 1500 - 0.15x. 0.25x = 1500, x = 6000.

AI explanation

Since the time period is the same, the ratio of the interests depends only on the product of the amounts and the rates. Therefore, (Amount1 * 10) / (Amount2 * 8) equals 15 / 8, which simplifies to Amount1 / Amount2 equals 3 / 2. With a total investment of Rs. 10,000, the first part is (3/5) * 10000, resulting in an investment of Rs. 6,000.

Keep practicing — related questions