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During a sale at a store, Richard purchased five t-shirts 26 Sep 2021, 12:27
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65% (hard)

Question Stats:

26% (02:20) correct 74% (03:18) wrong based on 38 sessions

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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.
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During a sale at a store, Richard purchased five t-shirts 09 Nov 2021, 23:37
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PyjamaScientist
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.
Show more

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 = 20.7*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 = 20.7*100/ 100 greater than 20 %

Not Sufficient

Option A
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During a sale at a store, Richard purchased five t-shirts 10 Nov 2021, 00:32
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Abhishekgmat87
PyjamaScientist
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
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You have not added 4 to 20.7, doing which will give you yes for each case.
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During a sale at a store, Richard purchased five t-shirts 10 Nov 2021, 00:36
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PyjamaScientist
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.
Show more


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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During a sale at a store, Richard purchased five t-shirts 10 Nov 2021, 00:57
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chetan2u
PyjamaScientist
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%.
Show more

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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Abhishekgmat87
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During a sale at a store, Richard purchased five t-shirts 10 Nov 2021, 00:58
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chetan2u
Abhishekgmat87
PyjamaScientist
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.
Show more

Please read the last line of the question carefully

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During a sale at a store, Richard purchased five t-shirts 10 Nov 2021, 01:14
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Abhishekgmat87
chetan2u
PyjamaScientist
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
Show more

There is no ONLY in the question. That is why the source is asked.
As it is written, it is open to own perceptions.
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