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An amount of ₹440 is divided among three persons in the ratio of 7 : 17 : 16. The difference between the largest and the smallest shares (in ₹) i
Question

An amount of ₹440 is divided among three persons in the ratio of 7 : 17 : 16. The difference between the largest and the smallest shares (in ₹) in the distribution is:

A.

110

B.

84

C.

114

D.

127

Correct option is A

Given:

Total amount = ₹440

Ratio = 7 : 17 : 16

Solution :

Sum of ratios = 7 + 17 + 16 = 40

1 part =44040=11 \frac{440}{40} = 11

Shares:

Smallest (7 parts) = 7 × 11 = 77

Largest (17 parts) = 17 × 11=187

Difference = 187 - 77 = 110
The difference between largest and smallest shares = ₹110

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