Question 78

The ratio of the sum of the salaries of A and B to the difference of their salaries is 11:1 and the ratio of the sum of the salaries of B and C to the difference of their salaries is also 11:1. If A's salary is the highest and C's is the lowest then what is B's salary (in Rs) given the total of all their salaries is Rs 1,82,000?

Solution

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Let the salaries of A, B and C are A, B and C respectively.

Applying componendo and dividendo,

⇒ A : B : C = 36 : 30 : 25

Let A = 36x, B = 30x and C = 25x

Given A + B + C = 182000

⇒ 91x = 182000

⇒ x = 2000

∴ B = 30 × 2000 = Rs. 60000
B is correct choice.

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