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A store offers a variety of discounts that range between 10 percent an

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Bunuel
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A store offers a variety of discounts that range between 10 percent an [#permalink] New post   06 Sep 2021, 06:45
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A store offers a variety of discounts that range between 10 percent and 25 percent inclusive. If a book is discounted to a price of $2.40, what was its greatest possible price originally?

A) $2.64
B) $3.00
C) $3.20
D) $10.80
E) $24.00
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C
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yashikaaggarwal
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Re: A store offers a variety of discounts that range between 10 percent an [#permalink] New post   08 Sep 2021, 21:43
If 2.4 is 90% value, it's 100% value will be slightly greater than 2.4
If 2.4 is 75% value, it's 100% value will be greater than what it will be when 2.4 is 90% value.

Using reverse percentage formula.
2.4*75/100 = 3.2

Answer is C

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Re: A store offers a variety of discounts that range between 10 percent an [#permalink] New post   08 Sep 2021, 22:04
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Bunuel wrote:
A store offers a variety of discounts that range between 10 percent and 25 percent inclusive. If a book is discounted to a price of $2.40, what was its greatest possible price originally?

A) $2.64
B) $3.00
C) $3.20
D) $10.80
E) $24.00


Greater the marked price, more is the discount percentage you will need to bring it down to a certain selling price.
To get the greatest possible marked price, the discount offered must have been 25%.

MP * (75/100) = 2.40
MP = 3.2

Answer (C)
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Re: A store offers a variety of discounts that range between 10 percent an [#permalink] New post   24 Jan 2022, 15:47
Please for the question below why are 10 & 25 included in the discount range (i.e 10<discount price<25)? I thought in inequalities when they say between it implies that the stated minimum and maximum values shouldn't be included.
If yes then shouldn't the maximum original price be less than $3.2? Please I need clarification. Thanks
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Re: A store offers a variety of discounts that range between 10 percent an [#permalink]
24 Jan 2022, 15:47
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