Total sales = 800$
Commission for the first 500$ = 20%(500) = 100$
Commission for the rest 300$ = 30%(300) = 90$
Total commission = 190$
% Commission of total amount = 100* 190/800 = 23.75~24%
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Source: Beat The GMAT — Problem Solving |
YA ! 
no other approach i guess
800 is her total sales
so first 500 she gets 20% that is 100 $
amount exceeding 500 is 300 on which she gets 30% that is 90$
so total she gets 190$
190 is wat percent of 800 it is 23.75%
which is 24 % is the answer
u can definitely rule out 25% coz it must 200$ and also not 22% coz for the condition to be true the commission she got must have been 176$ so only option left is 24%
Vishu
no other approach i guess
800 is her total sales
so first 500 she gets 20% that is 100 $
amount exceeding 500 is 300 on which she gets 30% that is 90$
so total she gets 190$
190 is wat percent of 800 it is 23.75%
which is 24 % is the answer
u can definitely rule out 25% coz it must 200$ and also not 22% coz for the condition to be true the commission she got must have been 176$ so only option left is 24%
Vishu
I was thinking the equation would look like .20(500x) + .30(x-500)=800
How do I get to the point where I get 300 to take .30percent of it for $90 and so forth
How do I get to the point where I get 300 to take .30percent of it for $90 and so forth
you were going the right direction with your equation except for one.vladmire wrote:I was thinking the equation would look like .20(500x) + .30(x-500)=800
How do I get to the point where I get 300 to take .30percent of it for $90 and so forth
You're taking 20% of 500 of x.
The question states that it's 20% of 500 dollars which is 100 dollars, constant value. Plus it gives you the value of total sales, x = 800.
1. you need to determine the commission
2. you need to determine the commission to total sales ratio
it should be (0.20*100) + 0.30(800-500) = commission
then commission / 800
