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 w

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?
1). 72000
2). 60000
3). 50000
4). 86400

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

$(\Rightarrow \frac{{A + B}}{{A - B}} = \frac{{11}}{1})$

$(\Rightarrow \frac{{B + C}}{{B - C}} = \frac{{11}}{1})$

Applying componendo and dividendo,

$(\Rightarrow \frac{A}{B} = \frac{{12}}{{10}} = \frac{6}{5})$

$(\Rightarrow \frac{B}{C} = \frac{{12}}{{10}} = \frac{6}{5})$

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

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