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?
Answer & explanation
Correct answer: option 3
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.