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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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