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04 Aug 2021, 04:30
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
63% (01:36) correct
37%
(01:54)
wrong
based on 112
sessions
History
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Not Attempted Yet
If Kriti paid a total of Rs. 1,350 for two dresses and sold one at 6% loss and the other at 7.5% profit, what was the price she paid for each dress?
(1) Kriti made neither a profit nor a loss from the transaction.
(2) Kriti sold one dress for Rs. 705.
(1) Kriti made neither a profit nor a loss from the transaction.
(2) Kriti sold one dress for Rs. 705.
04 Aug 2021, 05:04
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CP1 = x
CP2 = 1350 - x
(1) 0.94x + 1.075(1350 - x) = 1350
So, from this we can find x and also then, CP1 and CP2.
Sufficient.
(2) Kriti sold one dress for Rs. 705.
But we don't know whether 705 represents the dress that was sold at profit or at loss.
So, insufficient.
Hence, A.
CP2 = 1350 - x
(1) 0.94x + 1.075(1350 - x) = 1350
So, from this we can find x and also then, CP1 and CP2.
Sufficient.
(2) Kriti sold one dress for Rs. 705.
But we don't know whether 705 represents the dress that was sold at profit or at loss.
So, insufficient.
Hence, A.
29 Sep 2022, 23:58
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Bunuel
If Kriti paid a total of Rs. 1,350 for two dresses and sold one at 6% loss and the other at 7.5% profit, what was the price she paid for each dress?
(1) Kriti made neither a profit nor a loss from the transaction.
(2) Kriti sold one dress for Rs. 705.
Solution: (1) Kriti made neither a profit nor a loss from the transaction.
(2) Kriti sold one dress for Rs. 705.
Pre Analysis:
- First dress:
- CP \(=x\) (let)
- Loss \(=6\%\)
- SP \(=x(1-\frac{6}{100})=0.94x\)
- Second dress:
- CP \(=1350-x\) (let)
- Profit \(=7.5\%\)
- SP \(=(1350-x)(1+\frac{7.5}{100})=1.075(1350-x)\)
- We need the value of \(x\)
Statement 1: Kriti made neither a profit nor a loss from the transaction
- According to this statement, total SP = total CP for Kriti
- Thus, we can say \(0.94x+1.075(1350-x)=1350\)
- We can easily get the value of x fro here
- Thus, statement 1 alone is sufficient and we can eliminate options B, C and E
Statement 2: Kriti sold one dress for Rs. 705
- Accoroding to this statement, either \(0.94x=705\) or \(1.075(1350-x)=705\)
- We will get two different values of x
- Thus, statement 2 alone is not sufficient
Hence the right answer is Option A
