Multiple choice

A certain amount yielded a simple interest of Rs.600 after ‘t’ years. What would have been the interest if the same sum had been kept for thrice the duration and at half the rate of interest?

  1. 750

  2. 900

  3. 450

  4. 400

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

Simple Interest (SI) = (P * R * T) / 100. New SI = P * (R/2) * (3T) / 100 = 1.5 * (P * R * T) / 100 = 1.5 * 600 = 900.

AI explanation

Using the simple interest formula SI = (P * R * T) / 100, the new interest becomes (P * (R/2) * (3T)) / 100, which is 3/2 times the original interest. Multiplying the original interest of Rs. 600 by 3/2 gives a new interest of Rs. 900.

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