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Select the correct answerA lent Rs.25000 to B and at the same time lent some amount to C at same 7% simple interest. After 4 years A received Rs.11200 as interest from B and C. How much did A lend to C?OptionsRs.15000Rs.25000Rs.20000Rs.10000

Question

Select the correct answerA lent Rs.25000 to B and at the same time lent some amount to C at same 7% simple interest. After 4 years A received Rs.11200 as interest from B and C. How much did A lend to C?OptionsRs.15000Rs.25000Rs.20000Rs.10000

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Solution

The problem involves simple interest calculation.

The formula for simple interest is I = PRT/100, where: I = Interest P = Principal amount (the initial amount of money) R = Rate of interest T = Time period

From the problem, we know that A lent Rs.25000 to B at 7% interest for 4 years. So, we can calculate the interest received from B as follows:

I = PRT/100 I = 25000 * 7 * 4 / 100 I = Rs.7000

The total interest received from B and C is Rs.11200. So, the interest received from C is 11200 - 7000 = Rs.4200.

We know that the rate of interest and the time period for C is the same as for B. So, we can use the simple interest formula to find the principal amount lent to C:

4200 = P * 7 * 4 / 100 P = 4200 * 100 / (7 * 4) P = Rs.15000

So, A lent Rs.15000 to C. The correct answer is Rs.15000.

This problem has been solved

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