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A customer came to a shop and asked manger to give 20% discount on lis

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A customer came to a shop and asked manger to give 20% discount on lis  [#permalink]

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New post 17 Feb 2019, 23:18
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Question Stats:

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A customer came to a shop and asked manger to give 20% discount on listed price of a pen.Moreover , for every 10 pens purchased he wanted 2 pens free of cost. The manager agreed to the customer's demand because he could still make a profit of 20% on cost price. If the cost price of a pen is x, what was the listed price?

A)1.75x
B)1.8x
C)1.9x
D)2x
E)2.5x
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Re: A customer came to a shop and asked manger to give 20% discount on lis  [#permalink]

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New post 19 Feb 2019, 00:32
Say the listed price is "p". The customer gets a 20% discount, so each pen costs 0.8p. But the customer is also getting 20% more pens than he is paying for (he gets 2 free when he buys 10). So he is really paying 0.8p for 1.2 pens (20% more than 1), and the cost per pen to him is 0.8p/1.2 = 2p/3.

Now we know this is still 20% greater than the cost of each pen to the seller. Let's call that cost price "c". Then we know the discounted price is 1.2 times c, or 6/5 of c, so we have

2p/3 = 6c/5
p = (3/2)(6c/5)
p = 18c/10 = 1.8c
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Re: A customer came to a shop and asked manger to give 20% discount on lis  [#permalink]

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New post 19 Feb 2019, 05:17
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selim wrote:
A customer came to a shop and asked manger to give 20% discount on listed price of a pen.Moreover , for every 10 pens purchased he wanted 2 pens free of cost. The manager agreed to the customer's demand because he could still make a profit of 20% on cost price. If the cost price of a pen is x, what was the listed price?

A)1.75x
B)1.8x
C)1.9x
D)2x
E)2.5x


let value of pen = p
so @ 20% discount = 0.8p
and for 10 pens value would be 0.8p*10 = 8p
since customer is getting 12 pens so price per pen = 8p/12
now the cost price is 20 % profit or say 1.2 x
8p/12= 1.2x
p= 1.8x
IMO B
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Re: A customer came to a shop and asked manger to give 20% discount on lis   [#permalink] 19 Feb 2019, 05:17
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A customer came to a shop and asked manger to give 20% discount on lis

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