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An amount of ₹968 is divided among three persons in the ratio of 16 : 13 : 15. The difference between the largest and the smallest shares (in ₹)
Question

An amount of ₹968 is divided among three persons in the ratio of 16 : 13 : 15. The difference between the largest and the smallest shares (in ₹) in the distribution is:

A.

66

B.

20

C.

28

D.

85

Correct option is A

Given:​

An amount of ₹968 is divided among three persons in the ratio of 16:13:15.

Solution:

The sum of the parts in the ratio = 16 + 13 + 15 = 44

The share of each part is:

96844\frac{968}{44} ​= 22

The shares of the three persons are:

First person (16 parts): 16 × 22 = 352

Second person (13 parts): 13 × 22 = 286

Third person (15 parts): 15 × 22 = 330

The difference between the largest and smallest shares is:

352 - 286 = 66

So, the difference between the largest and the smallest shares is ₹66.

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