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# A shopkeeper offers a discount of 20% on the marked price of a product

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Manager
Joined: 18 Jul 2019
Posts: 54
A shopkeeper offers a discount of 20% on the marked price of a product  [#permalink]

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24 Nov 2019, 01:02
6
00:00

Difficulty:

45% (medium)

Question Stats:

63% (02:16) correct 37% (02:24) wrong based on 46 sessions

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A shopkeeper offers a discount of 20% on the marked price of a product and makes a profit of 25%. To make a profit of 10% on the product, the shopkeeper should offer a discount of

(A) 25.6%
(B) 26.4 %
(C) 29.6 %
(D) 32.2 %
(E) 42.45 %
Math Expert
Joined: 02 Aug 2009
Posts: 8327
Re: A shopkeeper offers a discount of 20% on the marked price of a product  [#permalink]

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24 Nov 2019, 01:57
CaptainLevi wrote:
A shopkeeper offers a discount of 20% on the marked price of a product and makes a profit of 25%. To make a profit of 10% on the product, the shopkeeper should offer a discount of

(A) 25.6%
(B) 26.4 %
(C) 29.6 %
(D) 32.2 %
(E) 42.45 %

Let the marked price be 100..
A discount of 20% means, the item is sold for 80..
Now this gives a profit of 25%. If the cost is x, 125x/100=80....x=64

Now we want a profit of 10%, so 64*110/100=70.4
Therefore the discount should be (100-70.6) on 100, that is 29.6%

C
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Re: A shopkeeper offers a discount of 20% on the marked price of a product   [#permalink] 24 Nov 2019, 01:57
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