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A's salary is the half that of B. If A got 50% raise in the salary and B got 25% raise in his salary, then the percentage increase in combined salaries of the both is?
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A's salary is the half that of B. If A got 50% raise in the salary and...
Problem: A's salary is the half that of B. If A got 50% raise in the salary and B got 25% raise in his salary, then the percentage increase in combined salaries of the both is?
Solution:
Let's assume that B's salary is x. Then, A's salary would be x/2.
After A gets a 50% raise, their new salary would be (x/2) + 0.5(x/2) = (3x/4).
After B gets a 25% raise, their new salary would be x + 0.25x = (5x/4).
The combined salaries of A and B before the raise were x/2 + x = (3x/2).
The combined salaries of A and B after the raise are (3x/4) + (5x/4) = (2x).
To calculate the percentage increase in combined salaries, we can use the following formula:
Percentage increase = ((New Value - Old Value) / Old Value) * 100
Using this formula, we get:
Percentage increase = ((2x - (3x/2)) / (3x/2)) * 100
Percentage increase = ((1/2)x / (3/2)x) * 100
Percentage increase = (1/3) * 100
Percentage increase = 33.33%
Therefore, the percentage increase in combined salaries of A and B is 33.33%.
Solution:
Let's assume that B's salary is x. Then, A's salary would be x/2.
After A gets a 50% raise, their new salary would be (x/2) + 0.5(x/2) = (3x/4).
After B gets a 25% raise, their new salary would be x + 0.25x = (5x/4).
The combined salaries of A and B before the raise were x/2 + x = (3x/2).
The combined salaries of A and B after the raise are (3x/4) + (5x/4) = (2x).
To calculate the percentage increase in combined salaries, we can use the following formula:
Percentage increase = ((New Value - Old Value) / Old Value) * 100
Using this formula, we get:
Percentage increase = ((2x - (3x/2)) / (3x/2)) * 100
Percentage increase = ((1/2)x / (3/2)x) * 100
Percentage increase = (1/3) * 100
Percentage increase = 33.33%
Therefore, the percentage increase in combined salaries of A and B is 33.33%.
Community Answer
A's salary is the half that of B. If A got 50% raise in the salary and...
A = x
B = y
A+B = x+2x = 3x as given 2A= B
initial salary of A = x
raise in salary of A = x × 50% = x × 1/2 = x/2
initial salary of B = y
raise in salary of B= y × 25% = y/4
new salary of A = x+x/2 = 3x/2
new salary of B= y+y/4 = 5y/4
combined new salary of A and B = 3x/2 + 5y/2
* y= 2x given in statement of problem
hence, 5y becomes 5 ×2x = 10x
3x/2+10x/4 = 4x = new combined salary
combined increment in salary =new combined salary - old combined salary= 4x - 3x = x
combined % increment = x/3x × 100 = 33.33%
B = y
A+B = x+2x = 3x as given 2A= B
initial salary of A = x
raise in salary of A = x × 50% = x × 1/2 = x/2
initial salary of B = y
raise in salary of B= y × 25% = y/4
new salary of A = x+x/2 = 3x/2
new salary of B= y+y/4 = 5y/4
combined new salary of A and B = 3x/2 + 5y/2
* y= 2x given in statement of problem
hence, 5y becomes 5 ×2x = 10x
3x/2+10x/4 = 4x = new combined salary
combined increment in salary =new combined salary - old combined salary= 4x - 3x = x
combined % increment = x/3x × 100 = 33.33%
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A's salary is the half that of B. If A got 50% raise in the salary and B got 25% raise in his salary, then the percentage increase in combined salaries of the both is?
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A's salary is the half that of B. If A got 50% raise in the salary and B got 25% raise in his salary, then the percentage increase in combined salaries of the both is? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A's salary is the half that of B. If A got 50% raise in the salary and B got 25% raise in his salary, then the percentage increase in combined salaries of the both is? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A's salary is the half that of B. If A got 50% raise in the salary and B got 25% raise in his salary, then the percentage increase in combined salaries of the both is?.
A's salary is the half that of B. If A got 50% raise in the salary and B got 25% raise in his salary, then the percentage increase in combined salaries of the both is? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A's salary is the half that of B. If A got 50% raise in the salary and B got 25% raise in his salary, then the percentage increase in combined salaries of the both is? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A's salary is the half that of B. If A got 50% raise in the salary and B got 25% raise in his salary, then the percentage increase in combined salaries of the both is?.
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