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A store sold a packet of 10 identical pens for a total of x dollars.

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Re: A store sold a packet of 10 identical pens for a total of x dollars. [#permalink]
Bunuel wrote:
A store sold a packet of 10 identical pens for a total of x dollars. The store originally purchased the packet of pens for 80% of the amount for which it sold the packet. In terms of x, how much profit did the store make on a single pen?

A. x/5

B. x/10

C. 4x/5

D. x/50

E. 4x/50

Selling price of a pen = x/10
Cost price of a pen = .8x/10 = 8x/100 = 2x/25
Proft per pen = x/10 - 2x/25 = (5x-4x)/50 = x/50

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Re: A store sold a packet of 10 identical pens for a total of x dollars. [#permalink]
yashikaaggarwal wrote:
I don't know whether there is any mistake in the options or not. But the answer is 25% profit.
For instance:
He sell 10 pencil for 10 rupees each. Thus getting receipt of 100 rupees. And he bought it for 80% cost price which is 80.
So his profit will be 100-80/80*100 = 25%
{(S.P.-C.P.)/C.P.*100}
So if anyone know the solution to the confusion. Kindly revert.
Thank you.

Posted from my mobile device

yashikaaggarwal

The question does not ask % profit but profit per pen (absolute value)
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Re: A store sold a packet of 10 identical pens for a total of x dollars. [#permalink]
Kinshook wrote:
yashikaaggarwal wrote:
I don't know whether there is any mistake in the options or not. But the answer is 25% profit.
For instance:
He sell 10 pencil for 10 rupees each. Thus getting receipt of 100 rupees. And he bought it for 80% cost price which is 80.
So his profit will be 100-80/80*100 = 25%
{(S.P.-C.P.)/C.P.*100}
So if anyone know the solution to the confusion. Kindly revert.
Thank you.

Posted from my mobile device

yashikaaggarwal

The question does not ask % profit but profit per pen (absolute value)

Yes. Got it now. Thank you
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Re: A store sold a packet of 10 identical pens for a total of x dollars. [#permalink]
Ans
10 pens cost=x
cost of 1 pen=x/10

purchase cost for 10 pens=80 % of x
For 1 pen= (80/100)*(x/10)= 4/5*x/10

Profit for 1 pen= Revenue per Pen-Cost per Pen

=x/10 -{(4/5)*(x/10)}

Solving it by taking common LCM

=x/50