Xia has received a 50% increase in salary three years in a row

Question

Xia has received a 50% increase in salary three years in a row. What is Xia's net percentage increase in salary over this three year period?

A. 125%
B. 150%
C. 237.5%
D. 337.5%
E. 450%

HoneyLemon · Answer

|-------------------------|(Year 1)-----------------------------|Year 2--------------------------|Year 3-----------------------------|
Before 
3 years -- -- -- 
  Before 
3 years X     (+ 50 %)  | X (1.5) --   (+50%)  -- X (1.5) (1.5) --  (+50%)  --  X (1.5) (1.5) (1.5)

Before 3 years Xia 's salary -- X 
After 3 years of successive salary increase Xia 's salary = X (1.5)(1.5)(1.5) = 3.33750 X

% change in salary =   * 100 =   * 100  237.5%

So C is the correct ans .

gurmukh · Answer

Let initial salary =1 
Therefore salary after 3 years= 1×1.5×1.5.1.5= 3.375
Increase percentage= 237.5%

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yashikaaggarwal · Answer

=> Net percentage increase formula is = a+b+ab/100
=> A = B = 50%
=> 50+50+50*50/100
=> 100+25 => 125%
=> Now take 125% as A and 50% of third year as B
=> 125+50+125*50/100
=> 175+62.5
=> 237.5
Answer is C

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chetan2u · Answer

In percentage questions, it may be helpful to start with 100.

So let initial salary be 100...
End of first year = 100*1.5 or  100+\frac{100}{2}=150 
End of second year = 150*1.5 or  150+\frac{150}{2}=225 
End of third year = 225*1.5 or  225+\frac{225}{2}=225+112.5=337.5 
Net increase = 337.5-100=237.5

We are looking at net increase % =  100*\frac{237.5}{100}=237.5%

C

Abhishek009 · Answer

Let Inital salary be 8

Slary after year 1 = 12
Slary after year 2 = 18
Slary after year 3 = 27

Hence, net percentage increase in salary over this three year period is  \frac{27 - 8 }{8}*100 = 237.50 , Answer must be (C)

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Xia has received a 50% increase in salary three years in a row

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