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

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Bunuel
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A clothing store offered a flat 25% off on all the products. If a pair [#permalink] New post   28 Sep 2021, 02:15
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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%
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C
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Re: A clothing store offered a flat 25% off on all the products. If a pair [#permalink] New post   28 Sep 2021, 08:51
Bunuel wrote:
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%

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

\(= -35 + 2.50 \)

\(= -32.50\), Answer must be (C)
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RahulHGGmat
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Re: A clothing store offered a flat 25% off on all the products. If a pair [#permalink] New post   26 Oct 2021, 01:51
Hi Bunuel Sajjad1994

Request you to share the official solution for this question.

Many Thanks in advance
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Re: A clothing store offered a flat 25% off on all the products. If a pair [#permalink] New post   26 Oct 2021, 03:03
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Bunuel wrote:
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%


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 \(= \frac{Decrease}{Original} \times 100 = \frac{32.5}{100} \times 100 = 32.5\)%.


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.
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gmatclubot
Re: A clothing store offered a flat 25% off on all the products. If a pair [#permalink]
26 Oct 2021, 03:03
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