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A: B: C is in the ratio of 3: 2: 5. How ...

A: B: C is in the ratio of 3: 2: 5. How much money will C get out of Rs 1260?

A

252

B

125

C

503

D

None of these

Text Solution

AI Generated Solution

The correct Answer is:
To find out how much money C will get out of Rs 1260 when the amounts are distributed in the ratio of A: B: C = 3: 2: 5, we can follow these steps: ### Step 1: Understand the Ratios The given ratio of A, B, and C is 3:2:5. This means: - A's share = 3 parts - B's share = 2 parts - C's share = 5 parts ### Step 2: Calculate the Total Parts To find the total number of parts in the ratio, we add the parts together: \[ \text{Total parts} = 3 + 2 + 5 = 10 \] ### Step 3: Determine C's Share C's share in the total amount can be calculated using the formula: \[ \text{C's Share} = \left(\frac{\text{C's Ratio}}{\text{Total Ratio}}\right) \times \text{Total Amount} \] Substituting the values: - C's Ratio = 5 - Total Ratio = 10 - Total Amount = Rs 1260 So, we have: \[ \text{C's Share} = \left(\frac{5}{10}\right) \times 1260 \] ### Step 4: Simplify the Calculation Calculating C's share: \[ \text{C's Share} = \left(0.5\right) \times 1260 = 630 \] ### Final Answer C will receive Rs 630 out of Rs 1260. ---
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