The income of a broker remains unchanged though the rate of the commission is increased from 3% to 4%. The percentage of slump in business is:

1:

20%

2:

25%

3:

30%

4:

40%

5:

45%

Let the business value change from x to y.

Then, 3% of x = 4% of y ⇒ $1003 ×x$ = $1004 ×y$

⇒ 3x = 4y ⇒ y = $43 x$

Decrease in business = $(x−43 x)$ = $4x $

Percentage slump in business = $(4x ×x1 ×100)$% = 25%

This has been asked in Question Paper

SBI PO Prelims 2017

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