the income of a broker remains unchanged though the rate commission is..., Percentage, General Mathematics

Question:The income of a broker remains unchanged though the rate of commission is increased from `4%` to `5%`. The percentage of slump is business is :

A `1%` 
B ``8%` 
C `20%` 
D `80%`

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+ AnswerC

+ ExplanationLet the business value changes from x to y.

`4% of x`

`= 5% of y ⇒ 4/(100) x`

`= 5/(100) y ⇒ y`

`= 4/(5) x.`

change in business 

`= (x - 4/5 x)`

`= x/5`

percentage slump

`= (x/5 xx 1/x xx 100)%`

`= 20%`

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