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.20000Rs.15000Rs.10000Rs.25000Finish ClearPrev Next (0)
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.20000Rs.15000Rs.10000Rs.25000Finish ClearPrev Next (0)
Solution
The problem can be solved by using the formula for simple interest, which is I = PRT/100, where I is the interest, P is the principal amount, R is the rate of interest, and T is the time in years.
From the problem, we know that A lent Rs.25000 to B at 7% interest for 4 years. So, the interest received from B is:
I = (25000 * 7 * 4) / 100 = Rs.7000
The total interest received from B and C is Rs.11200. So, the interest received from C is:
11200 - 7000 = Rs.4200
Now, we can use the simple interest formula to find out how much A lent to C. Let's denote the amount lent to C as P. We know that the rate of interest is 7% and the time is 4 years. So, we have:
4200 = (P * 7 * 4) / 100
Solving this equation for P gives:
P = (4200 * 100) / (7 * 4) = Rs.15000
So, A lent Rs.15000 to C. The correct answer is Rs.15000.
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