K,L and M invest sum in the ratio of 15:20:27 respectively. If they earned total profit of Rs. 10230 at the end of year, then what is the difference between share of K and L?

Options

A. Rs. 1155
B. Rs. 1275
C. Rs. 1980
D. Rs. 825

Answer

To solve the problem, we need to find the difference between the shares of K and L based on their investment ratios and the total profit earned.

### Step-by-Step Solution:

1. **Identify the Investment Ratios**:
The investment ratios of K, L, and M are given as:
- K : L : M = 15 : 20 : 27

2. **Calculate the Total Parts in the Ratio**:
To find the total parts of the ratio, we add the individual parts:
\[ \text{Total parts} = 15 + 20 + 27 = 62 \]

3. **Calculate the Profit Share for Each Individual**:
Since the profit is distributed in the same ratio as the investment, we can calculate the share of each individual from the total profit of Rs. 10,230.

- **Share of K**:
\[ \text{Share of K} = \left(\frac{15}{62}\right) \times 10230 \]
\[ = \frac{15 \times 10230}{62} = \frac{153450}{62} = 2475 \]

- **Share of L**:
\[ \text{Share of L} = \left(\frac{20}{62}\right) \times 10230 \]
\[ = \frac{20 \times 10230}{62} = \frac{204600}{62} = 3290 \]

4. **Calculate the Difference Between the Shares of K and L**:
Now, we find the difference between the shares of K and L:
\[ \text{Difference} = \text{Share of L} - \text{Share of K} \]
\[ = 3290 - 2475 = 815 \]

### Final Answer:
The difference between the share of K and L is Rs. 815.