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

The Correct Option is C

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): \(26\%\)