An amount of ₹682 is divided among three persons in the ratio of 18 : 3 : 9. The difference between the largest and the smallest shares (in ₹) in the distribution is:

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RPF Constable 2024 Official Paper (Held On 04 Mar, 2025 Shift 3)
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  1. 341
  2. 421
  3. 345
  4. 406

Answer (Detailed Solution Below)

Option 1 : 341
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Detailed Solution

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Given:

Total amount = ₹682

Ratio of shares = 18 : 3 : 9

Formula used:

Share of each = (Ratio of individual / Sum of ratios) × Total amount

Difference between largest and smallest shares = Largest share - Smallest share

Calculation:

Sum of ratios = 18 + 3 + 9 = 30

Share of largest = (18 / 30) × ₹682

⇒ Share of largest = ₹409.2

Share of smallest = (3 / 30) × ₹682

⇒ Share of smallest = ₹68.2

Difference = ₹409.2 - ₹68.2

⇒ Difference = ₹341

∴ The correct answer is option (1).

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