The ratio of the sum of the salaries of A and B to the difference of their salaries is 11: 1. 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 ₹), given that the total of their salaries is ₹18,200?

6000

A + B : A - B          B + C : B - C  

 11    :    1                 11  :   1  

⇒ A + B + A - B = 12

⇒ 2A = 12

⇒ A = 6 and B = 5,

Now,

⇒ B + C + B - C = 12,

⇒ 2B = 12

⇒ B = 6 and 5,

    A   :   B   :   C

    6   :   5

         :   6    :  5

    36 :  30   :  25

⇒ (36 + 30 + 25)units = Rs. 18200

⇒ 91 units = 18200

⇒ 1 unit = 200,

⇒ B's salary = 30 x 200 = Rs. 6000.