The difference between the C.I compounded annually and S.I on a certain sum for 2 years at 15% per annum is Rs 180. Find the sum
A)7000
B)8000
C)9000
D)6000

Options

A. Rs 7000
B. Rs 8000
C. Rs 9000
D. Rs 6000

Answer

To solve the problem step by step, we need to find the sum for which the difference between the compound interest (C.I) compounded annually and the simple interest (S.I) for 2 years at a rate of 15% per annum is Rs 180.

### Step 1: Understand the formula for Simple Interest (S.I)
The formula for Simple Interest for 2 years is:
\[ \text{S.I} = \frac{P \times R \times T}{100} \]
Where:
- \(P\) = Principal amount (the sum we want to find)
- \(R\) = Rate of interest (15% in this case)
- \(T\) = Time (2 years)

So,
\[ \text{S.I} = \frac{P \times 15 \times 2}{100} = \frac{30P}{100} = 0.3P \]