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An amount of ₹905 is divided among three persons in the ratio of 9 : 10 : 16. The difference between the largest and the smallest shares (in ₹) i
Question

An amount of ₹905 is divided among three persons in the ratio of 9 : 10 : 16. The difference between the largest and the smallest shares (in ₹) in the distribution is:

A.

110

B.

181

C.

205

D.

274

Correct option is B

Given:

An amount of ₹905 is divided among three persons in the ratio of 9:10:16.

Solution:

Total parts = 9 + 10 + 16 = 35

Share of each part = 90535\frac{₹905 }{ 35}​ = ₹25.857

Largest share = 16 × ₹25.857 = ₹413.714

Smallest share = 9 × ₹25.857 = ₹232.714

Difference = ₹413.714 - ₹232.714 = ₹181

Thus, the difference between the largest and the smallest shares is ₹181.

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