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

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Intern
Joined: 05 Jul 2018
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There was a series of two successive discounts of x% on the price  [#permalink]

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05 Jul 2018, 00:35
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?
Admitted - Which School Forum Moderator
Joined: 21 Mar 2018
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Concentration: Finance
Re: There was a series of two successive discounts of x% on the price  [#permalink]

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05 Jul 2018, 03:40
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]

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05 Jul 2018, 11:26
1
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!

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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Re: There was a series of two successive discounts of x% on the price &nbs [#permalink] 05 Jul 2018, 11:26
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