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An article costing Rs. 20 was marked 25% above the cost price.

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An article costing Rs. 20 was marked 25% above the cost price.  [#permalink]

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New post Updated on: 30 Oct 2016, 10:45
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Question Stats:

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Quote:
An article costing Rs. 20 was marked 25% above the cost price. After two successive discounts of the same percentage, the customer now pays Rs. 20.25. What would be the percentage change in profit had the price been increased by the same percentage twice successively instead reducing it?

a) 3600%
b) 3200%
c) 2800%
d) 4000%
e) 3800%

Originally posted by Emdadul28 on 29 Oct 2016, 11:20.
Last edited by Emdadul28 on 30 Oct 2016, 10:45, edited 1 time in total.
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Re: An article costing Rs. 20 was marked 25% above the cost price.  [#permalink]

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New post 30 Oct 2016, 09:45
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Emdadul28 wrote:
Quote:
An article costing Rs. 20 was marked 25% above the cost price. After two successive discounts of the same percentage, the customer now pays Rs. 20.25. What would be the percentage change in profit had the price been increased by the same percentage twice successively instead reducing it?

a) 36000%
b) 32000%
c) 28000%
d) 40000%
e) 3800%


Emdadul28

Ans should be 4000% not 40000%-------Emdadul28 plz confirm..

Mark up price=20+25%of 20=25
Let the discount be x%
after 2 discount--------->25(1-x/100)^2=20.25
sq rt both sides------->5(1-x/100)=4.5
thus x=10%

instead discount if he increases by 10% 2 times then new price=
25(1+10/100)^2----->30.25
So the net profit after discount by 10% 2 times-----> 20.25=20(1+x/100)--------->x=1.25%
net profit After increase in price by 10% 2 times------>30.25=20(1+x/100)---------->x=51.25%

thus profit change= (51.25-1.25)*100/1.25------->4000%

Ans D
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Re: An article costing Rs. 20 was marked 25% above the cost price.  [#permalink]

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New post 30 Oct 2016, 10:50
rohit8865 wrote:
Emdadul28 wrote:
Quote:
An article costing Rs. 20 was marked 25% above the cost price. After two successive discounts of the same percentage, the customer now pays Rs. 20.25. What would be the percentage change in profit had the price been increased by the same percentage twice successively instead reducing it?

a) 36000%
b) 32000%
c) 28000%
d) 40000%
e) 3800%



Ans should be 4000% not 40000%------- plz confirm..

Mark up price=20+25%of 20=25
Let the discount be x%
after 2 discount--------->25(1-x/100)^2=20.25
sq rt both sides------->5(1-x/100)=4.5
thus x=10%

instead discount if he increases by 10% 2 times then new price=
25(1+10/100)^2----->30.25
So the net profit after discount by 10% 2 times-----> 20.25=20(1+x/100)--------->x=1.25%
net profit After increase in price by 10% 2 times------>30.25=20(1+x/100)---------->x=51.25%

thus profit change= (51.25-1.25)*100/1.25------->4000%

Ans D


SORRY Bro It actually 4000%. I did not noticed it. Your answer is right.
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Re: An article costing Rs. 20 was marked 25% above the cost price.  [#permalink]

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New post 17 Jan 2019, 21:23
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).

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Re: An article costing Rs. 20 was marked 25% above the cost price.   [#permalink] 17 Jan 2019, 21:23
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