Rs. 4536 is divided among 4 men, 5 women and 2 boys. The ratio of share of a man, a woman and a boy is 7:4:3. What is the share of a woman?

Options

A. Rs. 336
B. Rs. 498
C. Rs. 166
D. Rs. 256

Answer

To solve the problem step by step, let's break it down:

### Step 1: Understand the given information
We have a total amount of Rs. 4536 that is to be divided among 4 men, 5 women, and 2 boys. The ratio of their shares is given as 7:4:3 for a man, a woman, and a boy respectively.

### Step 2: Calculate the total parts in the ratio
The total parts in the ratio can be calculated by adding the individual parts:
- For men: 7 parts
- For women: 4 parts
- For boys: 3 parts

Total parts = 7 + 4 + 3 = 14 parts

### Step 3: Determine the value of each part
To find the value of each part, we divide the total amount (Rs. 4536) by the total number of parts (14):
\[ \text{Value of each part} = \frac{4536}{14} = 324 \]

### Step 4: Calculate the share of a woman
Since the share of a woman is represented by 4 parts in the ratio, we can calculate her share as follows:
\[ \text{Share of a woman} = 4 \times \text{Value of each part} = 4 \times 324 = 1296 \]

### Conclusion
The share of a woman is Rs. 1296.

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