The salaries of three friends Sita, Gita and Mita are
initially in the ratio 5 : 6 : 7, respectively. In the first
year, they get salary hikes of 20%, 25% and 20%,
respectively. In the second year, Sita and Mita get
salary hikes of 40% and 25%, respectively, and the
salary of Gita becomes equal to the mean salary of
the three friends. The salary hike of Gita in the second
year is
Solution:
Let the initial salaries of Sita, Gita and Mita be 5x,
6x and 7x respectively.
Then, in first year their salaries will be 5x × 1.2,
6x × 1.25 and 7x × 1.2 i.e., 6x, 7.5x and 8.4x
respectively.
In second year salaries of Sita and Mita will be
6x × 1.4 and 8.4x × 1.25 i.e., 8.4x and 10.5x
respectively.
In second year, salary of Gita = (8.4x + 10.5x)/2
= 9.45x
Hence, in second year the percentage increase in
salary of Gita = (9.45x – 7.5x)/7.5x × 100 = 26%.