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An amount of ₹741 is divided among three persons in the ratio of 2 : 14 : 10. The difference between the largest and the smallest shares (in ₹) i
Question

An amount of ₹741 is divided among three persons in the ratio of 2 : 14 : 10. The difference between the largest and the smallest shares (in ₹) in the distribution is:

A.

401

B.

342

C.

323

D.

331

Correct option is B

Given:

Total amount = ₹741
Ratio = 2 : 14 : 10

Formula Used:
Share of each person = (Individual Ratio ÷ Sum of Ratios) × Total Amount
Difference = Largest Share – Smallest Share

Solution:
Sum of ratios = 2 + 14 + 10 = 26

Value of 1 part = 741 ÷ 26 = 28.5

Smallest share = 2 × 28.5 = ₹57

Largest share = 14 × 28.5 = ₹399

Other share = 10 × 28.5 = ₹285

Difference = 399 – 57 = ₹342

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