A 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.25000
Question
A 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.25000
Solution
The problem involves simple interest calculation.
First, let's calculate the interest received from B.
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 (in years)
Given: P = Rs. 25000 (for B) R = 7% T = 4 years
Substituting these values into the formula, we get:
I = (25000 * 7 * 4) / 100 = Rs. 7000
This is the interest received from B.
According to the problem, the total interest received from B and C is Rs. 11200.
So, the interest received from C is 11200 - 7000 = Rs. 4200.
Now, we need to find out how much A lent to C. We know that the rate of interest and the time period are the same as for B. So, we can rearrange the simple interest formula to find the principal amount:
P = I * 100 / (R * T)
Substituting the known values, we get:
P = 4200 * 100 / (7 * 4) = Rs. 15000
So, A lent Rs. 15000 to C.
Therefore, the correct option is Rs.15000.
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