Question

X salary is half that of y ,if x got 50% rise in his salary and y got a 25% raise on his salary then the % increase in combined salaries of both

Answer 1

There is 133.33% increase in combined salaries of both.

Step-by-step explanation:

Since we have given that

X salary is half that of y

$x=\dfrac{1}{2}y\\\\\dfrac{x}{y}=\dfrac{1}{2}\\\\=x:y\\\\=1:2$

x got 50% rise in his salary

So, x's new salary would be

$\dfrac{100+50}{100}\times x\\\\=1.5x$

y's new salary would be

$\dfrac{100+25}{100}\times y\\\\=1.25y$

So, combined increase in salary would be

$\dfrac{1.5x+1.25y}{x+y}\times 100\\\\=\dfrac{1.5x+1.25\times 2x}{x+2x}\times 100\\\\=\dfrac{1.5x+2.5x}{3x}\times 100\\\\=\dfrac{4}{3}\times 100\\\\=133.33\%$

Hence, there is 133.33% increase in combined salaries of both.

# learn more:

x's salary is half that of y's. If X got a 50% rise in his salary and y got 25% rise in his salary, then the perc itage

increase in combined salaries of both is

(a) 30

(b) 331

(d) 75​

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