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Jamie purchased three items from a budget store. She received discount

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gmat1393
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Jamie purchased three items from a budget store. She received discount [#permalink] New post   13 Feb 2019, 09:01
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Jamie purchased three items from a budget store. She received discounts of 40% on the marked price of item A, 20% on the marked price of item B and 10% on the marked price of item C. How much money did she save, in percent terms, by shopping at the budget store?

(1) The marked price of item B is 75% of the marked price of item A and 200% more than the marked price of item C.

(2) The marked price of item A is 400% of the marked price of item C.
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chetan2u
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Jamie purchased three items from a budget store. She received discount [#permalink] New post   13 Feb 2019, 21:25
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Jamie purchased three items from a budget store. She received discounts of 40% on the marked price of item A, 20% on the marked price of item B and 10% on the marked price of item C. How much money did she save, in percent terms, by shopping at the budget store?
We require to know the price of each OR since the question is in %, the ratio of all three will also do

(1) The marked price of item B is 75% of the marked price of item A and 200% more than the marked price of item C.
we can get all three in terms of one item so sufficient

(2) The marked price of item A is 400% of the marked price of item C.
Nothing about B

A

Solution of statement I..
B=0.75A=3C
Now we are looking for100*( 0.4A+0.2B+0.1C)/(A+B+C)=(40A+20*0.75A+10*0.25A)/(A+0.75A+0.25A)=(40+15+2.5)/2
A will get cancelled and we will have our answer.
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Re: Jamie purchased three items from a budget store. She received discount [#permalink] New post   14 Feb 2019, 08:57
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Hi chetan2u ,
You have written B =2C . Shouldn't it be B =3C
C + 200%C = B

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Re: Jamie purchased three items from a budget store. She received discount [#permalink] New post   14 Feb 2019, 09:04
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ShankSouljaBoi wrote:
Hi chetan2u ,
You have written B =2C . Shouldn't it be B =3C
C + 200%C = B

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Thanks .. you are correct..
Typo..
If it was 200% of C, then it would be 2C
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Re: Jamie purchased three items from a budget store. She received discount [#permalink] New post   19 Apr 2020, 08:16
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% money saved=(Money saved/money spent if not shopped at the budget store)×100
money saved = (0.4a+0.2b+0.1c/a+b+c)100

from statement one we can express all A B C items in ratio with "a"
[0.4a+0.2(0.75a)+0.1(0.25a)](a+0.75a+0.25a)×100

hence a is sufficient.
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Re: Jamie purchased three items from a budget store. She received discount [#permalink]
19 Apr 2020, 08:16
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