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A merchant has selected two items to be placed on sale, one

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A merchant has selected two items to be placed on sale, one [#permalink]

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25 Sep 2005, 23:42
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A merchant has selected two items to be placed on sale, one of which currently sells for 30 percent less than the other. If he wishes to raise the price of the cheaper item so that the two items are equally priced, by what percentage must he raise the price of the less expensive item?

22 %

30%

42, 6/7%

70%

130%

Guys..this is a dumb question..but I get a different result I use 1 as price the cheaper Item....hel plizz
CIao
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25 Sep 2005, 23:53
Macedon wrote:
A merchant has selected two items to be placed on sale, one of which currently sells for 30 percent less than the other. If he wishes to raise the price of the cheaper item so that the two items are equally priced, by what percentage must he raise the price of the less expensive item?

22 %

30%

42, 6/7%

70%

130%

Guys..this is a dumb question..but I get a different result I use 1 as price the cheaper Item....hel plizz
CIao

It will be 42,6/7%

Suppose the price of expensive item is 100 and chepaer item is 70. To match the prices you have to increase the price of cheaper item by 30. So 30/70= 42,6/7%
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26 Sep 2005, 04:17
It is 42 6/7 . Same explanation as ALI1

Sreeni
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26 Sep 2005, 04:33
ok..let's assume that one item costs 1.30 and 1 then?
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26 Sep 2005, 05:42
Macedon wrote:
ok..let's assume that one item costs 1.30 and 1 then?

30% less than 1.30 is not 1, it is 1.30 - (1.30*30/100) = 0.91
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26 Sep 2005, 06:46
Make it clearer:

Let's call the price of more expensive one is A
So the price of cheaper one is 70%*A
Call x is the percent need to increase the price of the cheaper so that the prices of the two are equal.

70%*A*(1+x) = A
or (7/10)*A*(1+x) = A
=> 1 + x = 10/7
=> x = 3/7
or (42+6/7)%
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26 Sep 2005, 06:46
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