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.
Thank You