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Mary buys a shirt at 80% of its marked price and another shirt at 70
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27 Jun 2024, 00:30
27 Jun 2024, 00:30
Expert Reply
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Question Stats:
53% (01:25) correct
46% (01:35) wrong based on 26 sessions
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Mary buys a shirt at 80% of its marked price and another shirt at 70% of its marked price.
Quantity A |
Quantity B |
The total percent discount offered to Mary on the purchase of the two shirts |
30 % |
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Re: Mary buys a shirt at 80% of its marked price and another shirt at 70
[#permalink]
28 Jun 2024, 02:26
28 Jun 2024, 02:26
1
Correct Ans: B
Lets take price of 1st shirt= $x & 2nd shirt= $y
Therefore, price of 1st shirt
= 80% off $x
= 1- {80% off $x}
= 20% of x
Therefore, price of 2nd shirt
= 70% off $y
= 1- {70% off $y}
= 30% of y
price of both shirts = 20% of x + 30% of y
Lets take x= $100 and y= $150
(a)= total percent discount offered
= (price of both shirts/ total costs) *100
= (20% of $100 + 30% of $150 / $100+$150) *100
= ($20+$45 / $250) *100
= 65/250 *100
= 26%
(b)= 30%
Therefore, B is greater.
Lets take price of 1st shirt= $x & 2nd shirt= $y
Therefore, price of 1st shirt
= 80% off $x
= 1- {80% off $x}
= 20% of x
Therefore, price of 2nd shirt
= 70% off $y
= 1- {70% off $y}
= 30% of y
price of both shirts = 20% of x + 30% of y
Lets take x= $100 and y= $150
(a)= total percent discount offered
= (price of both shirts/ total costs) *100
= (20% of $100 + 30% of $150 / $100+$150) *100
= ($20+$45 / $250) *100
= 65/250 *100
= 26%
(b)= 30%
Therefore, B is greater.
Re: Mary buys a shirt at 80% of its marked price and another shirt at 70
[#permalink]
14 Jul 2024, 05:20
14 Jul 2024, 05:20
I think, Your approach is wrong Marked price-selling price=discount price
We can apply the same here, for percent as well,
Its clearly mentioned in the question another shirt for another marked price.
Mp(shirt 1)-0.80Mp(shirt 1)=0.20 Mp(shirt 1)
Mp(Shirt 2)-0.70Mp(shirt 2)=0.30 Mp(shirt2)
Here we cannot form a relationship at all to find the total discount% since we do not know about the MP of shirts one and two and relationships between them.
Hence the answer should be D.
We can apply the same here, for percent as well,
Its clearly mentioned in the question another shirt for another marked price.
Mp(shirt 1)-0.80Mp(shirt 1)=0.20 Mp(shirt 1)
Mp(Shirt 2)-0.70Mp(shirt 2)=0.30 Mp(shirt2)
Here we cannot form a relationship at all to find the total discount% since we do not know about the MP of shirts one and two and relationships between them.
Hence the answer should be D.
