Multiple choice

John and Jeevan invested some money at the same rate of simple interest. If their principals are in the ratio 5 : 6 and their time periods are in the ratio 3 : 2, then what is the ratio of interest obtained by them?

  1. 4 : 5

  2. 3 : 5

  3. 5 : 4

  4. 5 : 3
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Simple interest I = P * R * T / 100. Since R is the same, I is proportional to P * T. Ratio of interest = (P1 * T1) : (P2 * T2) = (5 * 3) : (6 * 2) = 15 : 12 = 5 : 4.

AI explanation

Using the simple interest formula, Interest equals (Principal times Rate times Time) divided by 100, so the ratio of interests is found by multiplying the ratios of their principals and time periods. Given the principal ratio is 5 to 6 and the time ratio is 3 to 2, multiplying them gives (5 divided by 6) times (3 divided by 2). This results in 15 divided by 12, which simplifies to a ratio of 5 to 4.

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