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A school's annual budget for the purchase of student comp

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A school's annual budget for the purchase of student comp [#permalink] New post 01 Oct 2012, 09:51
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87% (01:42) correct 13% (01:36) wrong based on 67 sessions
A school’s annual budget for the purchase of student computers increased by 60% this year over last year. If the price of student computers increased by 20% this year, then the number of computers it can purchase this year is what percent greater than the number of computers it purchased last year?

A. 33.33%
B. 40%
C. 42%
D. 48%
E. 60%
[Reveal] Spoiler: OA

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Re: A school's annual budget for the purchase of student comp [#permalink] New post 19 Jan 2014, 23:49
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flower07 wrote:
Can somebody break this down for me? I am quite not getting it. Please?


A school’s annual budget for the purchase of student computers increased by 60% this year over last year. If the price of student computers increased by 20% this year, then the number of computers it can purchase this year is what percent greater than the number of computers it purchased last year?

A. 33.33%
B. 40%
C. 42%
D. 48%
E. 60%

Pick numbers.

Lats year: budget = $100, price = $1 --> the number of computers purchased = 100/1 = 100;

This year: budget = $160, price = $1.2 --> the number of computers purchased = 160/1.2 = ~133.33.

Increase in the number of computers purchased = 33.33%.

Answer: A.

Hope it's clear.
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Re: A school's annual budget for the purchase of student comp [#permalink] New post 01 Oct 2012, 09:58
ENAFEX wrote:
A school's annual budget for the purchase of student computers increased by 60% this year over last year. if the price of student computers increased by 20% this year, then the number of computers it can purchase this year is what percent greater than the number of computers it purchased last year?

a. 33.33%
b. 40%
c. 42%
d. 48%
e. 60%


If last year, the budget was B and the price of one computer was P, then B/P was the number of purchased computers.
This year, 1.6B/(1.2P) = 4/3(B/P) = 1.33(B/P) computers can be purchased, which is 33.33% greater than the number of computers purchased last year.

Answer A.
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Re: A school's annual budget for the purchase of student comp [#permalink] New post 02 Oct 2012, 03:33
ENAFEX wrote:
A school's annual budget for the purchase of student computers increased by 60% this year over last year. if the price of student computers increased by 20% this year, then the number of computers it can purchase this year is what percent greater than the number of computers it purchased last year?

a. 33.33%
b. 40%
c. 42%
d. 48%
e. 60%


Since the price is increased by 20%, for 120% of last year budget they get as many computers as they got last year, say n
For 160% they will get 160/120 = 4/3n
Hence 1/3n i.e. 33.33% more than last year
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Re: A school's annual budget for the purchase of student comp [#permalink] New post 19 Jan 2014, 23:38
Can somebody break this down for me? I am quite not getting it. Please?
Re: A school's annual budget for the purchase of student comp   [#permalink] 19 Jan 2014, 23:38
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