Question
Download Solution PDFAn amount of ₹980 is divided among three persons in the ratio of 2 : 6 : 12. The difference between the largest and the smallest shares (in ₹) in the distribution is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Total amount = ₹980
Ratio = 2 : 6 : 12
Formula used:
Share of each person = (Ratio of person / Total ratio) × Total amount
Difference between largest and smallest shares = Largest share - Smallest share
Calculations:
Total ratio = 2 + 6 + 12 = 20
Smallest share = (2 / 20) × 980
⇒ Smallest share = ₹98
Largest share = (12 / 20) × 980
⇒ Largest share = ₹588
Difference = Largest share - Smallest share
⇒ Difference = ₹588 - ₹98 = ₹490
∴ The correct answer is option (2).
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