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There was a series of two successive discounts of x% on the price

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gunavat
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There was a series of two successive discounts of x% on the price [#permalink] New post   05 Jul 2018, 01:35
There was a series of two successive discounts of x% on the price of a shirt. The final price of
the shirt was tagged at 36% of the original price. What is the value of x?
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Re: There was a series of two successive discounts of x% on the price [#permalink] New post   05 Jul 2018, 04:40
gunavat wrote:
there was a series of two successive discounts of x% on the price of a shirt. the final price of the shirt was tagged at 36% of the original price. what is the value of x?



Hi gunavat


100 x 0.6= 60 60x0.6= 36

So that's short multiplication for 40% discount, two times in a row to get 36% of original price.

Questions should say that that two successive discounts of x% are equal, so that is more clear what questions is actually asking.

Answer is 40% discount, two times in a row.

I picked number 100, so I don't have to deal with two unknowns, that trick comes handy in this question.

What is the source of this question ?
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Re: There was a series of two successive discounts of x% on the price [#permalink] New post   05 Jul 2018, 12:26
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gunavat wrote:
there was a series of two successive discounts of x% on the price of a shirt. the final price of the shirt was tagged at 36% of the original price. what is the value of x?

If the price of the shirt is 1, 36% of the original price will be 0.36

Hey gunavat

Welcome to GMATClub!
Please follow the RULES of the forum while posting questions.

Since we are talking of two successive discounts of x%, \(\frac{x}{100} * \frac{x}{100} * 1 = 0.36\)
Since we need the value of x, \(\frac{x^2}{10000} = 0.36\) -> \(x^2 = 3600\) -> \(x = \sqrt{3600} = 60\)

Hope this helps you!
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There was a series of two successive discounts of x% on the price [#permalink] New post   25 Jun 2019, 11:47
Hey billionaire,
But how you get 40%. Can u elaborate plz.

I understand up to x=60 as 100*60/100*60/100=36.
But didn't understand how to reach 40%.
The question source is from Jamboree.
Can u help me Bunuel sir
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There was a series of two successive discounts of x% on the price [#permalink] New post   25 Jun 2019, 13:03
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Sauhaan wrote:
Hey billionaire,
But how you get 40%. Can u elaborate plz.

I understand up to x=60 as 100*60/100*60/100=36.
But didn't understand how to reach 40%.
The question source is from Jamboree.
Can u help me Bunuel sir



Hi Sauhaan

You will need to notice that from \(\sqrt{0.36}\) you can only get two consecutive multipliers as 0.6 * 0.6= 0.36

Now, you are asking why 0.6 as multiplier corresponds with 40% discount ?

You will need to know that in order to discount any price with 40% you will need to multiply it with 0.6 as shortcut, since 1-0.4=0.6


I am sure this helps :cool:
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Re: There was a series of two successive discounts of x% on the price [#permalink] New post   22 Aug 2020, 11:37
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gunavat wrote:
There was a series of two successive discounts of x% on the price of a shirt. The final price of
the shirt was tagged at 36% of the original price. What is the value of x?


Solution:

Let the original price of the shirt be $100 before any discounts. So the final price of the shirt is $36 after two successive discounts of x%. We can create the equation:

100 * (1 - x/100) * (1 - x/100) = 36

(1 - x/100)^2 = 36/100

1 - x/100 = √(36/100)

1 - x/100 = 6/10

4/10 = x/100

10x = 400

x = 40

Answer: 40
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Re: There was a series of two successive discounts of x% on the price [#permalink]
22 Aug 2020, 11:37
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Bunuel
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