Multiple choice

A sum of Rs. 400 becomes Rs. 448 at simple interest in 2 years. In how many years will the sum of Rs. 550 amount to Rs. 682 at the same rate?

  1. 2 years

  2. 3 years

  3. 3.5 years

  4. 4 years
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

400 to 448 in 2 years means 48 interest. Rate = (48*100)/(400*2) = 6%. For 550 to 682, interest = 132. Time = (132*100)/(550*6) = 13200 / 3300 = 4 years.

AI explanation

From the first scenario, the interest is 48 on Rs. 400 for 2 years, so using SI = (P * R * T) / 100 gives 48 = (400 * R * 2) / 100, meaning the rate is 6%. For the second scenario, the interest is 132 on Rs. 550. Applying the rate of 6%, we get 132 = (550 * 6 * T) / 100. Solving for T results in 4 years.

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