Question

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

Answer 1

Initially, Sita, G\(g\)ita, and Mita's salaries are in the ratio \(5:6:7\) respectively.
Assuming their salaries are represented by \(5p, 6p,\) and \(7p\).
After receiving salary hikes of \(20\%, 25\%,\) and \(20\%\), respectively, their salaries become \(6p, 7.5p,\) and \(8.4p\).
Now, if Sita and Mita receive further salary hikes of \(40\% \) and \(25\%\), respectively.
Sita's salary \(= 1.4 \times 6p = 8.4p\)
and Mita's salary \(=1.25 \times8.4p = 10.5p\)
Let Gita's salary be g after hike.
\(⇒ 3g = 8.4p + g + 10.5p\)
\(⇒ 2g = 18.9p\)
\(⇒ g = 9.45p\)
Hike percent \(= \frac {9.45 — 7.5}{7 5 \times 100}\)\(= 26\%\)

So, the answer is \(26\%\).