Question discussion

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…

184215Medium 1 reply 2,859 views
23
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?
  • A72000
  • B60000
  • C50000
  • D86400
Answer not set

Discussion 1

0
CCommunity
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