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The salaries of Ramesh, Ganesh and Rajesh were in the ratio 6:5:7 in 2010, and in the ratio 3:4:3 in 2015.
If Ramesh’s salary increased by 25% during 2010-2015, then the percentage increase in Rajesh’s salary during this period is closest to
If Ramesh’s salary increased by 25% during 2010-2015, then the percentage increase in Rajesh’s salary during this period is closest to
- a)10
- b)7
- c)9
- d)8
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
The salaries of Ramesh, Ganesh and Rajesh were in the ratio 6:5:7 in 2...
Let the salaries of Ramesh, Ganesh and Rajesh in 2010 be 6x, 5x, 7x respectively
Let the salaries of Ramesh, Ganesh and Rajesh in 2015 be 3y, 4y, 3y respectively
It is given that Ramesh’s salary increased by 25% during 2010-2015,3y = 1.25*6x
y=2.5x
Percentage increase in Rajesh's salary = 7.5-7/7=0.07
=7%
Let the salaries of Ramesh, Ganesh and Rajesh in 2015 be 3y, 4y, 3y respectively
It is given that Ramesh’s salary increased by 25% during 2010-2015,3y = 1.25*6x
y=2.5x
Percentage increase in Rajesh's salary = 7.5-7/7=0.07
=7%
Most Upvoted Answer
The salaries of Ramesh, Ganesh and Rajesh were in the ratio 6:5:7 in 2...
's salary in 2010 was $6x$, then Ganesh's salary was $5x$ and Rajesh's salary was $7x$.
In 2015, let Ramesh's salary be $3y$, Ganesh's salary be $4y$, and Rajesh's salary be $3y$.
We know that the ratio of their salaries in 2015 was 3:4:3, so we can set up an equation:
$\frac{3y}{6x} = \frac{4y}{5x} = \frac{3y}{7x}$
Simplifying, we get:
$\frac{y}{2x} = \frac{4y}{5x} \implies 5y = 8x$
$\frac{y}{2x} = \frac{3y}{7x} \implies 7y = 6x$
Now, we can find the value of $x$:
$5y = 8x \implies x = \frac{5}{8}y$
Substituting into the second equation:
$7y = 6\left(\frac{5}{8}y\right) \implies y = \frac{21}{10}$
Therefore, Ramesh's salary in 2015 was $3y = 3\left(\frac{21}{10}\right) = \frac{63}{10}$.
To find the percentage increase in his salary, we can use the formula:
$\text{Percentage Increase} = \frac{\text{New Value} - \text{Old Value}}{\text{Old Value}} \times 100\%$
Plugging in the values:
$\text{Percentage Increase} = \frac{\frac{63}{10} - 6x}{6x} \times 100\%$
Since we know that $x = \frac{5}{8}y = \frac{5}{8}\left(\frac{21}{10}\right) = \frac{21}{16}$, we can simplify:
$\text{Percentage Increase} = \frac{\frac{63}{10} - \frac{189}{80}}{\frac{189}{80}} \times 100\% = \frac{105}{189} \times 100\% \approx 55.56\%$
Therefore, Ramesh's salary increased by approximately 55.56% from 2010 to 2015.
In 2015, let Ramesh's salary be $3y$, Ganesh's salary be $4y$, and Rajesh's salary be $3y$.
We know that the ratio of their salaries in 2015 was 3:4:3, so we can set up an equation:
$\frac{3y}{6x} = \frac{4y}{5x} = \frac{3y}{7x}$
Simplifying, we get:
$\frac{y}{2x} = \frac{4y}{5x} \implies 5y = 8x$
$\frac{y}{2x} = \frac{3y}{7x} \implies 7y = 6x$
Now, we can find the value of $x$:
$5y = 8x \implies x = \frac{5}{8}y$
Substituting into the second equation:
$7y = 6\left(\frac{5}{8}y\right) \implies y = \frac{21}{10}$
Therefore, Ramesh's salary in 2015 was $3y = 3\left(\frac{21}{10}\right) = \frac{63}{10}$.
To find the percentage increase in his salary, we can use the formula:
$\text{Percentage Increase} = \frac{\text{New Value} - \text{Old Value}}{\text{Old Value}} \times 100\%$
Plugging in the values:
$\text{Percentage Increase} = \frac{\frac{63}{10} - 6x}{6x} \times 100\%$
Since we know that $x = \frac{5}{8}y = \frac{5}{8}\left(\frac{21}{10}\right) = \frac{21}{16}$, we can simplify:
$\text{Percentage Increase} = \frac{\frac{63}{10} - \frac{189}{80}}{\frac{189}{80}} \times 100\% = \frac{105}{189} \times 100\% \approx 55.56\%$
Therefore, Ramesh's salary increased by approximately 55.56% from 2010 to 2015.
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Community Answer
The salaries of Ramesh, Ganesh and Rajesh were in the ratio 6:5:7 in 2...
Let initial salary be 6x 5x 7x in 2010
in 2015 it will be 3y 4y 3y
now 6x*(5/4)=3y
y=5x/2
increment in Rajesh salary is (3y-7x)/7x
replace y to x so it will be 1/14 which is 7.14%
in 2015 it will be 3y 4y 3y
now 6x*(5/4)=3y
y=5x/2
increment in Rajesh salary is (3y-7x)/7x
replace y to x so it will be 1/14 which is 7.14%
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The salaries of Ramesh, Ganesh and Rajesh were in the ratio 6:5:7 in 2010, and in the ratio 3:4:3 in 2015.If Ramesh’s salary increased by 25% during 2010-2015, then the percentage increase in Rajesh’s salary during this period is closest toa)10b)7c)9d)8Correct answer is option 'B'. Can you explain this answer?
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The salaries of Ramesh, Ganesh and Rajesh were in the ratio 6:5:7 in 2010, and in the ratio 3:4:3 in 2015.If Ramesh’s salary increased by 25% during 2010-2015, then the percentage increase in Rajesh’s salary during this period is closest toa)10b)7c)9d)8Correct answer is option 'B'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about The salaries of Ramesh, Ganesh and Rajesh were in the ratio 6:5:7 in 2010, and in the ratio 3:4:3 in 2015.If Ramesh’s salary increased by 25% during 2010-2015, then the percentage increase in Rajesh’s salary during this period is closest toa)10b)7c)9d)8Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The salaries of Ramesh, Ganesh and Rajesh were in the ratio 6:5:7 in 2010, and in the ratio 3:4:3 in 2015.If Ramesh’s salary increased by 25% during 2010-2015, then the percentage increase in Rajesh’s salary during this period is closest toa)10b)7c)9d)8Correct answer is option 'B'. Can you explain this answer?.
The salaries of Ramesh, Ganesh and Rajesh were in the ratio 6:5:7 in 2010, and in the ratio 3:4:3 in 2015.If Ramesh’s salary increased by 25% during 2010-2015, then the percentage increase in Rajesh’s salary during this period is closest toa)10b)7c)9d)8Correct answer is option 'B'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about The salaries of Ramesh, Ganesh and Rajesh were in the ratio 6:5:7 in 2010, and in the ratio 3:4:3 in 2015.If Ramesh’s salary increased by 25% during 2010-2015, then the percentage increase in Rajesh’s salary during this period is closest toa)10b)7c)9d)8Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The salaries of Ramesh, Ganesh and Rajesh were in the ratio 6:5:7 in 2010, and in the ratio 3:4:3 in 2015.If Ramesh’s salary increased by 25% during 2010-2015, then the percentage increase in Rajesh’s salary during this period is closest toa)10b)7c)9d)8Correct answer is option 'B'. Can you explain this answer?.
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