Multiple choice

Out of a certain sum, 1/3 is invested at 3%, 1/6 at 6% and the rest at 8%. If the simple interest for 2 years from all these investments amounts to Rs. 600, then find the original sum.

  1. Rs. 6000

  2. Rs. 5000

  3. Rs. 5500

  4. Rs. 6500
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let the sum be S. Interest = (S/3 * 0.03 * 2) + (S/6 * 0.06 * 2) + (S/2 * 0.08 * 2) = 600. (0.02S) + (0.02S) + (0.08S) = 600. 0.12S = 600. S = 600 / 0.12 = 5000.

AI explanation

Let the original sum be P. The total interest from the three parts is calculated as (P divided by 3) times 0.03, plus (P divided by 6) times 0.06, plus (P divided by 2) times 0.08, all multiplied by 2. This simplifies to P times (0.01 plus 0.01 plus 0.04), which equals 0.06P. Setting 0.06P equal to 600 gives P equals 600 divided by 0.06, resulting in Rs. 5000. The original sum is Rs. 5000.

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