Practicing Success
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? |
80000 60000 72000 50000 |
60000 |
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 |