The Happy Employee
The happy boss of a company gives his employee a 5 0 percent increase in his salary. Then he decides to give another 2 0 0 percent increase. The employee, now receives y dollars a year instead of x dollars a year. What percent of x is y ?
The answer is 450.
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1 solution
I think the problem is quite confusing. When he increase the salary(x) by 50% then the new salary would be 1.5x. Then if he would increase the salary again by 200%, then you would get twice of 1.5x which is 3x which is equal to y. Thus y is thrice x or simply 300% of x.
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Increase by 200% does not mean it will get doubled. It means double of the initial amount will be added to the initial amount. So, increase by 200% results in amount becoming thrice.
Salary after increment of 50% on initial salary:
y
=
x
+
x
×
1
0
0
5
0
y
=
1
.
5
x
Salary after increment of 200% on new salary:
y
=
1
.
5
x
+
1
.
5
x
×
1
0
0
2
0
0
y
=
4
.
5
x
y is 450% of x.
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but the ques. is what percent is x of y !
I'm not saying that the answer is totally wrong, but due to its syntax I think It's not impossible for some to get confused :)
yes indeed
yes I suppose 300% is the correct answer
After getting 5 0 % increase in the initial salary of x , the employee's salary becomes 1 . 5 x . After getting 2 0 0 % increase to this salary, the employee's salary becomes y = 4 . 5 x , which is 4 5 0 % of x .