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
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
Updated On: Aug 17, 2024
- 27%
- 24%
- 26%
- 28%
Hide Solution
Verified By Collegedunia
The Correct Option is C
Solution and Explanation
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): \(26\%\)
Was this answer helpful?
1
0
Top Questions on Percentages
- In a group of 250 students, the percentage of girls was at least 44% and at most 60%. The rest of the students were boys. Each student opted for either swimming or running or both. If 50% of the boys and 80% of the girls opted for swimming while 70% of the boys and 60% of the girls opted for running, then the minimum and maximum possible number of students who opted for both swimming and running, are
- CAT - 2024
- Quantitative Aptitude
- Percentages
- After two successive increments, Gopal's salary became 187.5% of his initial salary. If the percentage of salary increase in the second increment was twice of that in the first increment, then the percentage of salary increase in the first increment was
- CAT - 2024
- Quantitative Aptitude
- Percentages
- In September, the incomes of \(K\), \(A\), and \(V\) are in the ratio \(8:6:5\). They rent a house, contributing \(15\%\), \(12\%\), and \(18\%\) of their respective incomes. In October, the rent remains the same, but the salaries of \(K\), \(A\), and \(V\) increase by \(10\%\), \(12\%\), and \(15\%\), respectively. What percentage of their total income is paid as house rent in October? (Round to the nearest percentage.)
- CAT - 2024
- Quantitative Aptitude
- Percentages
- In a class of 165 students, 45 students are passed in Mathematics as well as in English, whereas 60 students are failed in Mathematics and 65 students are failed in English. How many students are passed in exactly one subject?
- If 20% of A = B and 40% of B = C. then the value of 3C is:
View More Questions
Questions Asked in CAT exam
- The sum of all real values of $k$ for which $(\frac{1}{8})^k \times (\frac{1}{32768})^{\frac{4}{3}} = \frac{1}{8} \times (\frac{1}{32768})^{\frac{k}{3}}$ is
- CAT - 2024
- Logarithms
- Amal and Vimal together can complete a task in 150 days, while Vimal and Sunil together can complete the same task in 100 days. Amal starts working on the task and works for 75 days, then Vimal takes over and works for 135 days. Finally, Sunil takes over and completes the remaining task in 45 days. If Amal had started the task alone and worked on all days, Vimal had worked on every second day, and Sunil had worked on every third day, then the number of days required to complete the task would have been
- CAT - 2024
- Time and Work
- Gopi marks a price on a product in order to make 20% profit. Ravi gets 10% discount on this marked price, and thus saves Rs 15. Then, the profit, in rupees, made by Gopi by selling the product to Ravi, is
- CAT - 2024
- Profit and Loss
- Sam can complete a job in 20 days when working alone. Mohit is twice as fast as Sam and thrice as fast as Ayana in the same job. They undertake a job with an arrangement where Sam and Mohit work together on the first day, Sam and Ayana on the second day, Mohit and Ayana on the third day, and this three-day pattern is repeated till the work gets completed. Then, the fraction of total work done by Sam is
- CAT - 2024
- Time and Work
- The number of all positive integers up to 500 with non-repeating digits is
- CAT - 2024
- Number Systems
View More Questions