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Divide Rs 1100 among A, B and C in the r...

Divide Rs 1100 among A, B and C in the ratio `2 : 3 : 5`

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To divide Rs 1100 among A, B, and C in the ratio 2:3:5, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Ratios**: The given ratio is A:B:C = 2:3:5. 2. **Calculate the Sum of the Ratios**: Sum of the ratios = 2 + 3 + 5 = 10. 3. **Determine the Value of One Part**: To find the value of one part, divide the total amount by the sum of the ratios: \[ \text{Value of one part} = \frac{1100}{10} = 110. \] 4. **Calculate the Amount for A**: Since A's ratio is 2, the amount for A is: \[ A = 2 \times 110 = 220. \] 5. **Calculate the Amount for B**: Since B's ratio is 3, the amount for B is: \[ B = 3 \times 110 = 330. \] 6. **Calculate the Amount for C**: Since C's ratio is 5, the amount for C is: \[ C = 5 \times 110 = 550. \] 7. **Final Distribution**: Therefore, the amounts distributed are: - A = Rs 220 - B = Rs 330 - C = Rs 550 ### Summary of Results: - A receives Rs 220 - B receives Rs 330 - C receives Rs 550
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