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If 1,500 is increased by 20%, and then reduced by y%

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If 1,500 is increased by 20%, and then reduced by y% [#permalink]

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20 Sep 2013, 17:20
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If 1,500 is increased by 20%, and then reduced by y%, yielding 1,080, what is y?

OA is
[Reveal] Spoiler:
40%

Last edited by Bunuel on 20 Sep 2013, 17:34, edited 1 time in total.
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Re: If 1,500 is increased by 20%, and then reduced by y% [#permalink]

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20 Sep 2013, 17:26
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jlgdr wrote:
If 1,500 is increased by 20%, and then reduced by y%, yielding 1,080, what is y?

OA is
[Reveal] Spoiler:
40%

1,500*1.2 = 1,800.

1,800(1 - y/100) = 1,080 --> (1 - y/100) = 0.6 --> y = 40%.
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Re: If 1,500 is increased by 20%, and then reduced by y% [#permalink]

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21 Mar 2017, 21:21
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Re: If 1,500 is increased by 20%, and then reduced by y% [#permalink]

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21 Mar 2017, 23:33
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jlgdr wrote:
If 1,500 is increased by 20%, and then reduced by y%, yielding 1,080, what is y?

OA is
[Reveal] Spoiler:
40%

Using percent-fraction equivalents:

1500 * (6/5) * n = 1080

n = 1080/300*6 = 3/5

This is equivalent to a reduction of 40%. So y = 40

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Re: If 1,500 is increased by 20%, and then reduced by y% [#permalink]

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22 Mar 2017, 07:11
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jlgdr wrote:
If 1,500 is increased by 20%, and then reduced by y%, yielding 1,080, what is y?

OA is
[Reveal] Spoiler:
40%

$$\frac{1500*( 100 + 20 )}{100} * \frac{( 100 - y )}{100} = 1080$$

Or, $$1800*\frac{( 100 - y )}{100} = 1080$$

Or, $$18( 100 - y ) = 1080$$

Or, $$2( 100 - y ) = 120$$

Or, $$100 - y = 60$$

So, $$y = 40$$
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Re: If 1,500 is increased by 20%, and then reduced by y% [#permalink]

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23 Mar 2017, 16:59
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Expert's post
jlgdr wrote:
If 1,500 is increased by 20%, and then reduced by y%, yielding 1,080, what is y?

OA is
[Reveal] Spoiler:
40%

If 1,500 is increased by 20%, we have:

1,500 x 1.2 = 1,800

If 1,800 is reduced by y% to give us 1,080, we have:

(1 - y/100)(1800) = 1,080

1,800 - 18y = 1,080

720 = 18y

y = 40
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If 1,500 is increased by 20%, and then reduced by y% [#permalink]

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17 May 2017, 15:55
If 1,500 is increased by 20%, and then reduced by y%, yielding 1,080, what is y?

1500 increased by 20% = 120% of 1500 = $$\frac{120}{100}$$ x 1500 = 1800
1800 decreased by y% = (100-y) % of 1800 = $$\frac{(100-y)}{100}$$ x 1800 = (100-y) x 18 = 1080
100-y = $$\frac{1080}{18}$$ = 60
y = 100 - 60 = 40
y = 40%

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If 1,500 is increased by 20%, and then reduced by y%   [#permalink] 17 May 2017, 15:55
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