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GRE Prep Club Legend  Joined: 07 Jun 2014
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During a sale, the local outlet of the Chasm sold three time [#permalink]
Expert's post 00:00

Question Stats: 62% (07:00) correct 37% (00:50) wrong based on 8 sessions
During a sale, the local outlet of the Chasm sold three times as many jeans as chinos. If they made twice as much profit for a pair of chinos as for a pair of jeans, and sold no other items, what percent of their profits during the sale came from chinos?

(A) $$16 \frac{2}{3}$$ %
(B) $$20$$%
(C) $$40$$%
(D) $$60$$%
(E) $$83 \frac{1}{3}$$%
[Reveal] Spoiler: OA

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Sandy
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Re: During a sale, the local outlet of the Chasm sold three time [#permalink]
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sandy wrote:
During a sale, the local outlet of the Chasm sold three times as many jeans as chinos. If they made twice as much profit for a pair of chinos as for a pair of jeans, and sold no other items, what percent of their profits during the sale came from chinos?

(A) $$16 \frac{2}{3}$$ %
(B) $$20$$%
(C) $$40$$%
(D) $$60$$%
(E) $$83 \frac{1}{3}$$%

Here ;
Let the no. of chinos sold = 10

Therefore no. of jeans sold = 3 * no. of chinos = 30

Let profit from 1 pair of jeans = $1 therefore for 30 jeans, profit =$30

and the profit for a pair of chinos = 2 * profit of jeans = 2* 1 = $2 therefore for 10 chinos, profit =$20

Now total profit = $50, out of which$20 is from the sale of chinos.

Hence percentage of profit from chinos = $$\frac{20}{50} = 40%$$
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GRE Prep Club Legend  Joined: 07 Jun 2014
Posts: 4857
GRE 1: Q167 V156 WE: Business Development (Energy and Utilities)
Followers: 112

Kudos [?]: 1865 , given: 397

Re: During a sale, the local outlet of the Chasm sold three time [#permalink]
Expert's post
Explanation

If all the values given in a problem and its answers are percents, ratios, or fractions of some unknown, then the problem will probably be easiest to solve by stipulating values for the unknowns.

In this problem, the two ratios given are 3 : 1 (jeans sold : chinos sold) and 2 : 1 (profits per pair of chinos : profits per pair of jeans). The easiest numbers to stipulate are:

3 pairs of jeans sold

1 pair of chinos sold

$2 profit/pair of chinos$1 profit/pair of jeans

This yields $2 profit from the chinos out of a total$5 in profit: 2/5 = 40%

Hence option C is correct!
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Re: During a sale, the local outlet of the Chasm sold three time [#permalink]
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C = # of chinos sold
J = # of jeans sold
J = 3C
J profit = 1*J = 1J
C profit = 2*C = 2C

Total profit: 1J + 2C
Substitute J = 3C
Total profit: (1*3C) + (2C) = 5C
Percent profit from chinos sold?
(CprofitTotalProfit∗100)=(CprofitTotalProfit∗100)=

(2C5C∗100)=.4∗100=40(2C5C∗100)=.4∗100=40 percent

Answer C
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Re: During a sale, the local outlet of the Chasm sold three time [#permalink]
Expert's post
sandy wrote:
During a sale, the local outlet of the Chasm sold three times as many jeans as chinos. If they made twice as much profit for a pair of chinos as for a pair of jeans, and sold no other items, what percent of their profits during the sale came from chinos?

(A) $$16 \frac{2}{3}$$ %
(B) $$20$$%
(C) $$40$$%
(D) $$60$$%
(E) $$83 \frac{1}{3}$$%

the local outlet of the Chasm sold three times as many jeans as chinos.... So $$J=3C$$
they made twice as much profit for a pair of chinos, say x, as for a pair of jeans, say y,... So x=2y
Total profit = J*y+C*x=3C*y+C*2y=5Cy
Profit from Chinos = C*X=2yC
So % = $$\frac{2Cy}{5Cy}*100=40%$$

C
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