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# A grocer purchased 50 identical cans of soup for a total cost of x

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Senior Manager
Joined: 26 Dec 2015
Posts: 256
Location: United States (CA)
Concentration: Finance, Strategy
WE: Investment Banking (Venture Capital)
A grocer purchased 50 identical cans of soup for a total cost of x  [#permalink]

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23 Apr 2017, 07:55
1
00:00

Difficulty:

25% (medium)

Question Stats:

74% (01:06) correct 26% (01:19) wrong based on 78 sessions

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A grocer purchased 50 identical cans of soup for a total cost of x dollars. If the grocer then sells each can at 10% above its original cost, then in terms of x, for how many dollars would each can sell?

A) 110x-100

B) $$\frac{11x}{10}$$

C) $$\frac{11x}{5}$$

D) $$\frac{11x}{500}$$

E) 110x
Manager
Joined: 22 Jun 2016
Posts: 245
Re: A grocer purchased 50 identical cans of soup for a total cost of x  [#permalink]

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23 Apr 2017, 10:11
Let x = 100

Each can is of $2. Now each can is sold at 10% profit or$2.2

Total value of sold product = 2.2*50 = 110

Profit = 110-100 = 10

Each can profit = 10/50 = 0.2

Substitute x=100 in each option. Only D satisfies and hence is the answer.
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Intern
Joined: 18 Jul 2016
Posts: 16
Re: A grocer purchased 50 identical cans of soup for a total cost of x  [#permalink]

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25 Apr 2017, 00:52
1
cost price of 50cans = x
selling price of 50 cans= 1.1x (if each can is raised by 10% the total also raises by 10%)

selling price of 1 can = 1.1x/50 = 11x/500
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Engineer, Quant score 53 First attempt.

DS Forum Moderator
Joined: 21 Aug 2013
Posts: 1412
Location: India
Re: A grocer purchased 50 identical cans of soup for a total cost of x  [#permalink]

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20 May 2017, 03:31
Since each can costs the same and he sells each can at 10% above cost price,
Overall also the selling price will be 10% above total cost price.

So total selling price of 50 cans = 10% more than x = 1.1 x

Thus, selling price of 1 can = 1.1x/50 = 11x/500

Non-Human User
Joined: 09 Sep 2013
Posts: 9184
Re: A grocer purchased 50 identical cans of soup for a total cost of x  [#permalink]

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01 Oct 2018, 16:50
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
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Re: A grocer purchased 50 identical cans of soup for a total cost of x &nbs [#permalink] 01 Oct 2018, 16:50
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