Rahul invested a sum of Rs. 10000 in a scheme offering simple interest at 10% p.a. after 2 years, he again invested all the money he got from scheme in share market at Rs. 50 per share. After 1 month, he sold all his shares at Rs. 52 per share. Find his profit percent.

Options

A. 0.02
B. 0.24
C. 0.04
D. 0.15

Answer

To solve the problem step by step, we will break down the calculations involved in finding Rahul's profit percent.

### Step 1: Calculate the Simple Interest (SI)
Given:
- Principal (P) = Rs. 10,000
- Rate of Interest (R) = 10% per annum
- Time (T) = 2 years

The formula for Simple Interest is:
\[ SI = \frac{P \times R \times T}{100} \]

Substituting the values:
\[ SI = \frac{10000 \times 10 \times 2}{100} = \frac{200000}{100} = 2000 \]

### Step 2: Calculate the Total Amount after 2 Years
The total amount (A) after 2 years is given by:
\[ A = P + SI \]
Substituting the values:
\[ A = 10000 + 2000 = 12000 \]

### Step 3: Calculate the Number of Shares Purchased
Rahul invests the total amount of Rs. 12,000 in shares at Rs. 50 per share.

The number of shares (N) can be calculated as:
\[ N = \frac{A}{\text{Price per share}} = \frac{12000}{50} = 240 \]

### Step 4: Calculate the Selling Price of the Shares
Rahul sells the shares at Rs. 52 per share. Therefore, the total selling price (SP) is:
\[ SP = N \times \text{Selling price per share} = 240 \times 52 = 12480 \]

### Step 5: Calculate the Profit
Profit (P) can be calculated as:
\[ P = SP - A = 12480 - 12000 = 480 \]

### Step 6: Calculate the Profit Percent
Profit percent is given by:
\[ \text{Profit Percent} = \left( \frac{P}{A} \times 100 \right) = \left( \frac{480}{12000} \times 100 \right) \]
Calculating this:
\[ \text{Profit Percent} = \left( \frac{480}{12000} \times 100 \right) = \left( \frac{48}{1200} \right) \times 100 = 4\% \]

### Final Answer
The profit percent is **4%**.

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