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# A bicycle store purchased two bicycles, one for \$250 and the other for

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Joined: 02 Sep 2009
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A bicycle store purchased two bicycles, one for \$250 and the other for  [#permalink]

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25 Jun 2018, 04:47
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Difficulty:

15% (low)

Question Stats:

80% (01:46) correct 20% (02:08) wrong based on 906 sessions

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A bicycle store purchased two bicycles, one for \$250 and the other for \$375, and sold both bicycles at a total gross profit of \$250. If the store sold one of the bicycles for \$450, which of the following could be the store's gross profit from the sale of the other bicycle?

A. \$75

B. \$100

C. \$125

D. \$150

E. \$175

NEW question from GMAT® Official Guide 2019

(PS02007)

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Re: A bicycle store purchased two bicycles, one for \$250 and the other for  [#permalink]

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25 Jun 2018, 04:57
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Solution

Given:
• A bicycle store purchased two bicycles, one for \$250 and the other for \$375, and sold both bicycles at a total gross profit of \$250
• One of the bicycles was sold for \$450

To find:
• Among the given options, which one can be the store’s gross profit from the other bicycle

Approach and Working:
If the first bicycle was sold for \$450, then
• Profit on first bicycle = 450 – 250 = 200
• Hence, profit on second bicycle = 250 – 200 = 50 (not in the option)

If the second bicycle was sold for \$450, then
• Profit on second bicycle = 450 – 375 = 75
• Hence, profit on first bicycle = 250 – 75 = 175

Hence, the correct answer is option E.

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##### General Discussion
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Joined: 13 Feb 2018
Posts: 451
GMAT 1: 640 Q48 V28
A bicycle store purchased two bicycles, one for \$250 and the other for  [#permalink]

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25 Jun 2018, 04:59
2
1
Let x be the sum of the selling prices of 2 bicycles
Then x-(250+375)=250
x=875

If one of the bicycles selling price is 450 then the other bicycles selling price will be 875-450=425
The gross profit may be 425-250=175 or 425-375=50

In My Opinion
Ans: E
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Re: A bicycle store purchased two bicycles, one for \$250 and the other for  [#permalink]

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28 Jun 2018, 18:12
2
1
Bunuel wrote:
A bicycle store purchased two bicycles, one for \$250 and the other for \$375, and sold both bicycles at a total gross profit of \$250. If the store sold one of the bicycles for \$450, which of the following could be the store's gross profit from the sale of the other bicycle?

A. \$75

B. \$100

C. \$125

D. \$150

E. \$175

We can assume that the \$375 bicycle is sold for \$450. So the profit on this bicycle is 450 - 375 = \$75. Since the total profit is \$250, the other bicycle must be sold for a profit of 250 - 75 = \$175.

Alternate Solution:

The total cost of the bicycles to the store is 250 + 375 = \$625.

Since the total profit is \$250, the sum of the sale prices of the bicycles is 625 + 250 = \$875.

Since one of the bicycles sold for \$450, the other sold for 875 - 450 = \$425.

If the bike costing \$250 is sold for \$425, the profit is 425 - 250 = \$175.

If the bike costing \$375 is sold for \$425, the profit is 425 - 375 = \$50.

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Re: A bicycle store purchased two bicycles, one for \$250 and the other for  [#permalink]

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06 Sep 2019, 02:49
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Re: A bicycle store purchased two bicycles, one for \$250 and the other for   [#permalink] 06 Sep 2019, 02:49
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