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

• A. 27%
• B. 24%
• C. 26%
• D. 28%

Answer 1

Answer: (C)

26%

Answer 2

Let us assume that salaries of Sita, Gita and Mita be $5p, 6p$ and $7p$.
They get hikes in salaries $20\%, 25\%$ and $20\%$ respectively.
$⇒$ Now their salaries are $\frac 65 \times 5p, \frac 54 \times 6p$ and $\frac 65 \times 7p$
$⇒ 6p, 7.5p, 8.4p$
Now, Sita and Mita get salary hikes of $40\%$ and $25\%$ respectively.
⇒ Sita's salary $= 1.4 \times 6p = 8.4p$
⇒ Mita's salary $= 1.25\times8.4p = 10.5p$
Let Gita's salary be $g$ after hike,
$⇒ 3g = 8.4p+ g + 10.5p$
$⇒2g = 18.9p$
$⇒ g = 9.45p$
Now, hike % $=\frac {9.45 -7.5}{7.5} \times 100$ $= 26\%$

So, the correct option is (C): $26\%$