Multiple choice

A sum of Rs. 9400 is divided into three parts, such that the simple interests accrued on these sums for three, four and five years are equal. Find the amount deposited for five years.

  1. Rs. 5000

  2. Rs. 4000

  3. Rs. 2400

  4. Rs. 3000

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

Let the parts be P1, P2, P3. Simple interest is P*R*T/100. Since interests are equal, P1*3 = P2*4 = P3*5 = K. P1=K/3, P2=K/4, P3=K/5. Sum = K(1/3 + 1/4 + 1/5) = K(47/60) = 9400. K = 12000. P3 (for 5 years) = 12000/5 = 2400.

AI explanation

The simple interest on each part must be equal, so the product of the principal, the rate, and the time must be the same for all three amounts. Assuming the same rate of interest across all accounts, the principal amounts for the three, four, and five-year periods must be inversely proportional to their time periods. Therefore, the amounts are in the ratio of 20 to 15 to 12, which adds up to 47 total parts. The amount deposited for five years corresponds to the 12 parts, so it is calculated as 9400 multiplied by 12 divided by 47, resulting in Rs. 2400.

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