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A copy service charges $0.05 per copy for the first 100 copies, $0.04

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Bunuel
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A copy service charges $0.05 per copy for the first 100 copies, $0.04 [#permalink] New post  10 Oct 2019, 03:42
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A copy service charges $0.05 per copy for the first 100 copies, $0.04 per copy for the next 100 copies, and $0.03 per copy for all copies thereafter. What would the copy service charge for 350 copies?

(A) $10.50
(B) $11.50
(C) $12.00
(D) $13.00
(E) $13.50
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Mohammadmo
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Re: A copy service charges $0.05 per copy for the first 100 copies, $0.04 [#permalink] New post  10 Oct 2019, 04:09
100×0.05 + 100×0.04 + 150×0.03=
5+4+4.5=13.5
Option E

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Abhishek009
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Re: A copy service charges $0.05 per copy for the first 100 copies, $0.04 [#permalink] New post  10 Oct 2019, 09:55
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Bunuel wrote:
A copy service charges $0.05 per copy for the first 100 copies, $0.04 per copy for the next 100 copies, and $0.03 per copy for all copies thereafter. What would the copy service charge for 350 copies?

(A) $10.50
(B) $11.50
(C) $12.00
(D) $13.00
(E) $13.50


\((100*0.05) + (100*0.04) + (150*0.03) = 5 + 4 + 4.5 = 13.50\) , Answer must be (E) 13.50
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bkastan
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Re: A copy service charges $0.05 per copy for the first 100 copies, $0.04 [#permalink] New post  10 Oct 2019, 16:39
Notice that the question is using 100. This will simplify the arithmetic because you can slide decimal places

0.05 x 100 = 5 (shift decimal to right twice)
0.04 x 100 = 4
0.03 x 150 (remaining copies) = 4.5

Sum is 13.50

Advice: 3 x 150 is the same as 3(100+50)

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EgmatQuantExpert
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Re: A copy service charges $0.05 per copy for the first 100 copies, $0.04 [#permalink] New post  28 Nov 2020, 00:30
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Solution



Given
In this question, we are given that
    • A copy service charges $0.05 per copy for the first 100 copies, $0.04 per copy for the next 100 copies, and $0.03 per copy for all copies thereafter

To find
We need to determine
    • The service charge for 350 copies

Approach and Working out
We can deduce a generalised expression for n copies, where n > 200 (here 200 = 100 + 100)

Charge for the first 100 copies = 100 x 0.05 = 5
Charge for the next 100 copies = 100 x 0.04 = 4
    • Hence, charge for the first 200 copies = 5 + 4 = 9

For total n (>200) copies,
    • Total service charge = 9 + (n – 200) x 0.03

If n = 350, then the total service charge = 9 + (350 – 200) x 0.03 = 9 + 150 x 0.03 = 9 + 4.5 = 13.5

Thus, option E is the correct answer.

Correct Answer: Option E
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Re: A copy service charges $0.05 per copy for the first 100 copies, $0.04 [#permalink]
28 Nov 2020, 00:30
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