Multiple choice

In what time will the simple interest on Rs. $1,000$ at $6$ % be equal to S.I. on Rs. $600$ for $4$ years at $5$%.

  1. $1$ year
  2. $2$ years
  3. $3$ years
  4. $4$ years
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

S.I. = (P * R * T) / 100. S.I. on Rs. 600 for 4 years at 5% = (600 * 5 * 4) / 100 = 120. We need S.I. on Rs. 1000 at 6% to be 120. (1000 * 6 * T) / 100 = 120 => 60T = 120 => T = 2 years.

AI explanation

First, calculate the simple interest on Rs. 600 for 4 years at 5% using the formula I = (P * R * T) / 100, which gives (600 * 5 * 4) / 100 = Rs. 120. Equating this to the interest on Rs. 1000 at 6% for T years gives (1000 * 6 * T) / 100 = 120. Solving 60T = 120 results in T = 2 years.

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