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# A pianist agreed to perform one concert at a fee 12.5 perc

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A pianist agreed to perform one concert at a fee 12.5 perc [#permalink]  06 Dec 2017, 02:43
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Question Stats:

75% (01:30) correct 25% (00:52) wrong based on 4 sessions
A pianist agreed to perform one concert at a fee 12.5 percent less than her usual fee and a second concert at a fee 20 percent greater than the first fee. The fee for the second concert was what percent greater than her usual fee?

A. 5%
B. 7.5%
C. 15%
D. 16.25%
E. 32.5%
[Reveal] Spoiler: OA

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Re: A pianist agreed to perform one concert at a fee 12.5 perc [#permalink]  06 Dec 2017, 05:08
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Carcass wrote:
A pianist agreed to perform one concert at a fee 12.5 percent less than her usual fee and a second concert at a fee 20 percent greater than the first fee. The fee for the second concert was what percent greater than her usual fee?

A. 5%
B. 7.5%
C. 15%
D. 16.25%
E. 32.5%

[Reveal] Spoiler: OA
OA in 254h

Here,
Let the usual fee be = 100

SO 1st concert 12.5% less than usual fee = 87.5

Now 2nd concert 20% greater than 1st concert = 87.5 + 17.5 = 105

Now New fee greater than usual fee = $$\frac{(105-100)}{100}$$ = 5%
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Re: A pianist agreed to perform one concert at a fee 12.5 perc [#permalink]  06 Dec 2017, 11:44
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Re: A pianist agreed to perform one concert at a fee 12.5 perc [#permalink]  28 May 2018, 18:25
Expert's post
Carcass wrote:
A pianist agreed to perform one concert at a fee 12.5 percent less than her usual fee and a second concert at a fee 20 percent greater than the first fee. The fee for the second concert was what percent greater than her usual fee?

A. 5%
B. 7.5%
C. 15%
D. 16.25%
E. 32.5%

We can let her usual fee = 1000, so the fee for her first concert was 0.875 x 1000 = 875, and the fee for her second concert was 1.2 x 875 = 1,050. Now we need to determine what percent greater the fee for the second concert was compared to the usual fee.

(1,050 - 1000)/1000 x 100

50/1000 x 100 = 50/10 = 5 percent

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Re: A pianist agreed to perform one concert at a fee 12.5 perc   [#permalink] 28 May 2018, 18:25
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