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Re: During a sale at a store, Richard purchased five t-shirts [#permalink]
Expert Reply
PyjamaScientist wrote:
During a sale at a store, Richard purchased five t-shirts, and he received a 30% discount on the three most expensive t-shirts and a 20% discount on the other two t-shirts. The three most expensive t-shirts were taxed at 10% of the discounted price, and the remaining t-shirts were not taxed. Did Richard save more than 20% of the total marked price of all the t-shirts by buying the three most expensive t-shirts?

Statement 1: The ratio of the sum of the marked price of the 2 most expensive items to the marked price of the fourth most expensive item was 16:1.
Statement 2: The ratio of the marked prices of the three most expensive items was 5:3:1.



What is the source?

You do not require statements at all. Answer is YES in all cases


30% discount and then a 7% tax will give you final discount of 23% on 3 most expensive items.
There is a straight 20% discount on 2 least expensive items.

When you add these, surely your answer has to be between 20 and 23%.
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Re: During a sale at a store, Richard purchased five t-shirts [#permalink]
chetan2u wrote:
PyjamaScientist wrote:
During a sale at a store, Richard purchased five t-shirts, and he received a 30% discount on the three most expensive t-shirts and a 20% discount on the other two t-shirts. The three most expensive t-shirts were taxed at 10% of the discounted price, and the remaining t-shirts were not taxed. Did Richard save more than 20% of the total marked price of all the t-shirts by buying the three most expensive t-shirts?

Statement 1: The ratio of the sum of the marked price of the 2 most expensive items to the marked price of the fourth most expensive item was 16:1.
Statement 2: The ratio of the marked prices of the three most expensive items was 5:3:1.



What is the source?

You do not require statements at all. Answer is YES in all cases


30% discount and then a 7% tax will give you final discount of 23% on 3 most expensive items.
There is a straight 20% discount on 2 least expensive items.

When you add these, surely your answer has to be between 20 and 23%.


You have misunderstood the question. It is asked whether the discount is more than 20% of marked price of all T-shirt’s on buying only 3 most expensive items . The question is not that easy it seems

Posted from my mobile device
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Joined: 08 Aug 2021
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WE:Marketing (Insurance)
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Re: During a sale at a store, Richard purchased five t-shirts [#permalink]
chetan2u wrote:
Abhishekgmat87 wrote:
PyjamaScientist wrote:
During a sale at a store, Richard purchased five t-shirts, and he received a 30% discount on the three most expensive t-shirts and a 20% discount on the other two t-shirts. The three most expensive t-shirts were taxed at 10% of the discounted price, and the remaining t-shirts were not taxed. Did Richard save more than 20% of the total marked price of all the t-shirts by buying the three most expensive t-shirts?

Statement 1: The ratio of the sum of the marked price of the 2 most expensive items to the marked price of the fourth most expensive item was 16:1.
Statement 2: The ratio of the marked prices of the three most expensive items was 5:3:1.


Statement 1 - The ratio of the sum of the marked price of the 2 most expensive items to the marked price of the fourth most expensive item was 16:1
Let the sum of marked price of 2 most expensive items be 80, marked price of 4th expensive will be 5.
Sale price of 2 most expensive items will be 80 *.7 * 1.1 = 61.6
Saving = 80-61.6 = 18.4

To get least saving, we have to maximize 5th items and minimize 3rd items.
We can take both as 5
Total cost of 5 items = 95
Saving on 3rd item = 5 *.23 = 1.15

Overall saving on buying 3 most expensive items will be 19.55 greater than 20 % (19.55 of 95)
If we minimize 5th items, percentage will be certainly greater than the previous case

Sufficient

Statement 2 - The ratio of the marked prices of the three most expensive items was 5:3:1
We can assume the 3 most expensive items as 50,30 and 10. Total saving = 90 *.23 = 20.7
We can now maximize the 2 least expensive items and can take them 10 each.
Total saving = 20 *.2 = 4

Total saving percent by buying 3 most expensive items as percentage of total marked price of all tshirt = 20.724.7*100/110 less than 20 %

Lets minimize the 2 least expensive items and take them as 0 each or 5 (for easy calculation)
Total saving percent by buying 3 most expensive items as percentage of total marked price of all tshirt = 20.721.7*100/ 100 greater than 20 %

Not Sufficient

Option A


You have not added 4 to 20.7, doing which will give you yes for each case.


Please read the last line of the question carefully

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Re: During a sale at a store, Richard purchased five t-shirts [#permalink]
Expert Reply
Abhishekgmat87 wrote:
chetan2u wrote:
PyjamaScientist wrote:
During a sale at a store, Richard purchased five t-shirts, and he received a 30% discount on the three most expensive t-shirts and a 20% discount on the other two t-shirts. The three most expensive t-shirts were taxed at 10% of the discounted price, and the remaining t-shirts were not taxed. Did Richard save more than 20% of the total marked price of all the t-shirts by buying the three most expensive t-shirts?

Statement 1: The ratio of the sum of the marked price of the 2 most expensive items to the marked price of the fourth most expensive item was 16:1.
Statement 2: The ratio of the marked prices of the three most expensive items was 5:3:1.



What is the source?

You do not require statements at all. Answer is YES in all cases


30% discount and then a 7% tax will give you final discount of 23% on 3 most expensive items.
There is a straight 20% discount on 2 least expensive items.

When you add these, surely your answer has to be between 20 and 23%.


You have misunderstood the question. It is asked whether the discount is more than 20% of marked price of all T-shirt’s on buying only 3 most expensive items . The question is not that easy it seems

Posted from my mobile device


There is no ONLY in the question. That is why the source is asked.
As it is written, it is open to own perceptions.
GMAT Club Bot
Re: During a sale at a store, Richard purchased five t-shirts [#permalink]
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