A clothing store offered a flat 25% off on all the products. If a pair

Question

A clothing store offered a flat 25% off on all the products. If a pair of shoes was already on 10% sale, what is the percentage decrease from the original to the final selling price?

A. 23%
B. 27.5%
C. 32.5%
D. 35%
E. 37.5%

Abhishek009 · Answer

-25 - 10 + \frac{(-25)(-10)}{100}

= -35 + 2.50

= -32.50 , Answer must be (C)

RahulHGGmat · Answer

Hi  Bunuel   Sajjad1994

Request you to share the official solution for this question.

Many Thanks in advance

GMATWhizTeam · Answer

Solution:

There are 2 ways to do this problem:

Method 1:

Let us assume the original price of the shoe be  100 .

Upon 10% sale, the selling price  = 100(1-\frac{10}{100}) = 90

Then a 25% off, thus final selling price  = 90(1-\frac{25}{100})=67.5

Decrease from original price  = 100-67.5 = 32.5

Decrease percentage  = \frac{Decrease}{Original} 	imes 100 = \frac{32.5}{100} 	imes 100 = 32.5 %.

Method 2:

We can find the effective percentage increase/decrease by a direct formula  x+y+\frac{xy}{100} .

In this question, we are offered 2 discounts -10% and -25%.

Overall decrease percentage  = -10-25+\frac{(-10)(-25)}{100}=-32.5 %

Hence the right answer is    Option C   .

A clothing store offered a flat 25% off on all the products. If a pair

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A clothing store offered a flat 25% off on all the products. If a pair

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