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 $26\%$.