My salary is Rs. 12,345 per month. The salary of my brother is 10% greater than that of mine.

Ques - My salary is Rs. 12,345 per month. The salary of my brother is 10% greater than that of mine. The salary of my only sister is 9.09% greater than that of my only brother. The salary of my wife is 56*(12/23)% less than the total salary of my brother and sister together, then the salary of my wife is:

(a) greater than my sister's salary

(b) 33*(11/23)% less than my sister's salary

(c) equal to my salary

(d) 44*(11/23)% greater than my own salary

Solution - 

Let,

My salary = 100

Salary of my brother = 100 + 10% × 100

= 100 + 10

= 110

Salary of my sister = 110 + 9.09% × 110

= 110 + 10 (approx)

= 120

Salary of my wife = (120 + 110) - 56(12/23)% × (120 + 110)

= 230 - 56(12/23)% × 230

Therefore,

56(12/23) = 1300/23

= 230 - (1300/23)% × 230

= 230 - 130 (approx)

= 100

Hence,

The correct option is (c) equal to my salary.