A sum of money is divided among A,B,C so that to each rupee A gets B gets 65 paise and C gets 35 paise if C,s share is Rs.28 the sum is

Options

A. A)Rs.120
B. B)Rs.140
C. C)Rs.160
D. D)Rs.180

Answer

To solve the problem, we need to determine the total sum of money divided among A, B, and C based on the given ratios and C's share.

### Step-by-Step Solution:

1. **Understanding the Share Ratio**:
- According to the problem, for every 1 rupee that A receives, B receives 65 paise and C receives 35 paise.
- We can express this in terms of a ratio. If A gets 100 paise (which is equal to Rs. 1), then:
- B gets 65 paise
- C gets 35 paise
- Therefore, the ratio of their shares can be expressed as:
- A : B : C = 100 : 65 : 35

2. **Simplifying the Ratio**:
- To simplify the ratio, we can divide each part by 5:
- A : B : C = 20 : 13 : 7

3. **Identifying C's Share**:
- We are given that C's share is Rs. 28. In terms of the simplified ratio, C represents 7 parts.
- Therefore, we can set up the equation:
- 7 parts = Rs. 28

4. **Finding the Value of One Part**:
- To find the value of one part, we divide C's share by the number of parts:
- Value of 1 part = Rs. 28 / 7 = Rs. 4

5. **Calculating the Total Sum**:
- Now we can find the total sum by adding the parts of A, B, and C:
- Total parts = A + B + C = 20 + 13 + 7 = 40 parts
- Therefore, the total sum is:
- Total sum = 40 parts × Rs. 4 per part = Rs. 160

### Final Answer:
The total sum of money is Rs. 160.

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