Multiple choice

Find the sum that earns an interest of Rs. 2128 in 2 years 4 months at 4% p.a.

  1. Rs. 36000

  2. Rs. 22800

  3. Rs. 12000

  4. Rs. 10000
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B Correct answer
Explanation

Simple interest is calculated as I = (P * R * T) / 100. Here, T = 2 years 4 months = 2 + 4/12 = 7/3 years. Solving 2128 = (P * 4 * 7/3) / 100 gives P = (2128 * 300) / 28 = 22800.

AI explanation

Convert the time of 2 years and 4 months into years by dividing 4 by 12, giving a total time of 7/3 years. Using the simple interest formula where Interest = (Principal multiplied by Rate multiplied by Time) divided by 100, substitute the known values to get 2128 = (Principal multiplied by 4 multiplied by 7) divided by (3 multiplied by 100). This simplifies to 2128 = Principal multiplied by 28 divided by 300. Solving for the principal gives Principal = (2128 multiplied by 300) divided by 28, which equals 22800 rupees.

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