Question : The ratio of the sum of the salaries of A and B to the difference between their salaries is 11 : 1, and the ratio of the sum of the salaries of B and C to the difference between 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 that the total of all their salaries is Rs. 1,82,000?
Option 1: Rs. 72,000
Option 2: Rs. 60,000
Option 3: Rs. 50,000
Option 4: Rs. 86,400
Correct Answer: Rs. 60,000
Solution :
Given: The salaries of A, B, and C are:
And,
Applying componendo and dividendo, we get:
And,
Let
Given: A + B + C = 1,82,000
⇒
⇒
⇒
Hence, the correct answer is Rs. 60,000.
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