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 lowest then what is B’s salary (in Rs) given total of all their salaries is Rs.1,82,000?
Answer & explanation
Correct answer: option 2
A + B : A - B
11 : 1 ---(I)
B + C : B - C (A > B > C)
11 : 1 ---(II)
Solving eq, I.
2A = 12 R₁ or A = 6R₁
B = 5R₁
Solving eq.(II)
2B = 12R₂ or B = 6R₂
C = 5R₂
Equating the value of B
5R₁ = 6R₂
R₁ = 6, R₂ = 5
So, A : B : C = 36 : 30 : 25
Given, A + B + C = 182000
91R = 182000 or R = 2000
B = 30 x 2000 = 60000