If Rs. 250 was divided amongst Ravi, Raju and Ram, so that Ravi got two parts, Raju three parts and Ram five parts. How much money did Ram get?

Question

Accepted Answer

To determine how much money Ram received, we need to understand the distribution of the total amount of Rs. 250 among Ravi, Raju, and Ram based on the given parts.

1. **Understanding the Distribution:**
   - Ravi received 2 parts.
   - Raju received 3 parts.
   - Ram received 5 parts.

2. **Total Parts Calculation:**
   - Total parts = Ravi's parts + Raju's parts + Ram's parts = 2 + 3 + 5 = 10 parts.

3. **Value of Each Part:**
   - Since the total amount of Rs. 250 is divided into 10 parts, the value of each part is calculated as follows:
     $$
     \text{Value of each part} = \frac{\text{Total amount}}{\text{Total parts}} = \frac{250}{10} = 25 \text{ Rs. per part}
     $$

4. **Calculating Ram's Share:**
   - Ram received 5 parts. Therefore, the amount of money Ram received is:
     $$
     \text{Ram's share} = 5 \times 25 = 125 \text{ Rs.}
     $$

5. **Conclusion:**
   - Based on the calculations, Ram received Rs. 125, which corresponds to Option 2.

6. **Explanation of Incorrect Options:**
   - **Option 1 (Rs. 75):** This would imply Ram received only 3 parts (since 75/25 = 3), which contradicts the given information that Ram received 5 parts.
   - **Option 3 (Rs. 100):** This would imply Ram received 4 parts (since 100/25 = 4), which is incorrect as Ram received 5 parts.
   - **Option 4 (Rs. 95):** This is not a multiple of 25, indicating an incorrect calculation based on the value of each part.

Therefore, the correct answer is Option 2, Rs. 125, as it accurately reflects the distribution of the total amount based on the given parts.