Q. Salary of Arun is 1.5 lakhs. If salary of Arun is increased by 2k%, and then decreased by k%, and salary of Himanshi is increased by k%, after that both realized that net increment in salary of both (in Rs.) is same. Find the value of (3k + 167), if salary of Arun is 400% more than that of Himanshi.
A.123
B.234
C.287
D.250
E. None of these
Ans:
Salary of Arun = Rs. 150000
Salary of Himanshi = Rs. 150000/5 = Rs. 30000
Now,
30000 x k/100 = 150000 x (2k – k – 2k x k/100) x
1/100
1/5 = 1 – k/50
k/50 = 4/5
value of k = 40
required value = (3 x 40 + 167) = 287
Hence answer is option C
