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John goes to buy clothes in a shop where there is a discount of 30% on

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chetan2u
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John goes to buy clothes in a shop where there is a discount of 30% on [#permalink] New post   05 Jul 2018, 20:00
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John goes to buy clothes in a shop where there is a discount of 30% on all items. Additionally there is an offer of " Buy 3 for 40% off" that is the discount increases to 40% on each item if he purchases 3 items. If John has already purchased two items priced $ 40 and $ 20, how much can he buy the third item for and still pay only what he was paying for the two items initially?
(A) $4
(B) $6
(C) $10
(D) $14
(E) $45


At the mall - in same situation
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C
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Re: John goes to buy clothes in a shop where there is a discount of 30% on [#permalink] New post   13 Jul 2018, 14:16
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chetan2u wrote:
John goes to buy clothes in a shop where there is a discount of 30% on all items. Additionally there is an offer of " Buy 3 for 40% off" that is the discount increases to 40% on each item if he purchases 3 items. If John has already purchased two items priced $ 40 and $ 20, how much can he buy the third item for and still pay only what he was paying for the two items initially?
(A) $4
(B) $6
(C) $10
(D) $14
(E) $45



Note that when an item is discounted by, say, 40%, we are paying 60% (or 0.6) of its original price.
Similarly, when an item is discounted by 30%, we are paying 70% (or 0.7) of its original price. With this in mind, and letting x = the regular price of the third item, we can create the following equation:

0.6(40 + 20 + x) = 0.7(40 + 20)

24 + 12 + 0.6x = 28 + 14

0.6x = 6

x = 6/0.6 = 60/6 = 10

Answer: C
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Re: John goes to buy clothes in a shop where there is a discount of 30% on [#permalink] New post   05 Jul 2018, 20:49
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Let $x is the price of 3rd item
40% discount on 3 items means he has to pay 60% of the total price
he was paying $42 initially that is is 30% discount of $40 +$20
so equation becomes
.6($40+$20+x)=$42
by solving , x= $10
Ans C
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John goes to buy clothes in a shop where there is a discount of 30% on [#permalink] New post   05 Jul 2018, 20:04
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It is a great feeling to realize that you picked up the third item absolutely free :-) .
reserved for OE..

Two ways...
1) items at 30% discount will become at 40%, so an addl profit of 10%.
10% of (20+40)=$6
So this should be the price you pay for 3rd item after discount ..
Since the item is at 40% discount, you pay 60%
So 60% = 6
100% will be 6*100/60=10

2) price of third item =x..
The price of 3 items at 40% discount = the price of two items at 30%
So 0.6(40+20+x)=0.7(40+20).......
360+6x=420......6x=420-360=60......x=10
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Re: John goes to buy clothes in a shop where there is a discount of 30% on [#permalink] New post   06 Jul 2018, 04:38
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chetan2u wrote:
John goes to buy clothes in a shop where there is a discount of 30% on all items. Additionally there is an offer of " Buy 3 for 40% off" that is the discount increases to 40% on each item if he purchases 3 items. If John has already purchased two items for $ 40 and $ 20, how much can he buy the third item for and still pay only what he was paying for the two items initially?
(A) $4
(B) $6
(C) $10
(D) $14
(E) $45


At the mall - in same situation


I would say it depends on how you interpret the question. The situation is not clear. Has John purchased two items for $40 and $20 after the 30% off? Or is that not including the 30% off?

Since the first sentence clearly states that there is a discount of 30% on all items, I would say that the $40 and $20 is the price after the discount.

That being said, you can calculate the non-discounted price of each item by doing \(\frac{20}{.7}\) = 28 and \(\frac{40}{.7}\) = 57.

Now to find the price of the third item 0.6(57+28+x)=60

x=14.

Answer: D
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Re: John goes to buy clothes in a shop where there is a discount of 30% on [#permalink] New post   06 Jul 2018, 05:02
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msurls wrote:
chetan2u wrote:
John goes to buy clothes in a shop where there is a discount of 30% on all items. Additionally there is an offer of " Buy 3 for 40% off" that is the discount increases to 40% on each item if he purchases 3 items. If John has already purchased two items for $ 40 and $ 20, how much can he buy the third item for and still pay only what he was paying for the two items initially?
(A) $4
(B) $6
(C) $10
(D) $14
(E) $45


At the mall - in same situation


I would say it depends on how you interpret the question. The situation is not clear. Has John purchased two items for $40 and $20 after the 30% off? Or is that not including the 30% off?

Since the first sentence clearly states that there is a discount of 30% on all items, I would say that the $40 and $20 is the price after the discount.

That being said, you can calculate the non-discounted price of each item by doing \(\frac{20}{.7}\) = 28 and \(\frac{40}{.7}\) = 57.

Now to find the price of the third item 0.6(57+28+x)=60

x=14.

Answer: D


Thanks. edited to remove ambiguity
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Re: John goes to buy clothes in a shop where there is a discount of 30% on [#permalink] New post   04 Oct 2023, 19:06
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Re: John goes to buy clothes in a shop where there is a discount of 30% on [#permalink]
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