Question
Download Solution PDFAn amount of ₹840 is divided among three persons in the ratio of 16 : 6 : 18. The difference between the largest and the smallest shares (in ₹) in the distribution is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
An amount of ₹840 is divided among three persons in the ratio of 16 : 6 : 18.
Formula used:
Share of a person = (Ratio of the person / Sum of all ratios) × Total amount
Calculation:
Sum of all ratios = 16 + 6 + 18 = 40
Share of first person = (16 / 40) × 840
⇒ Share of first person = 0.4 × 840 = 336
Share of second person = (6 / 40) × 840
⇒ Share of second person = 0.15 × 840 = 126
Share of third person = (18 / 40) × 840
⇒ Share of third person = 0.45 × 840 = 378
Difference between the largest and smallest shares = 378 - 126
⇒ Difference = 252
∴ The correct answer is option (2).
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