beeblebrox wrote:
VeritasKarishma wrote:
KSBGC wrote:
Selling 12 candies at a price of $10 yields a loss of a%. Selling 12 candies at a price of $12 yields a profit of a%. What is the value of a?
A)11/1100
B)11/100
C)100/11
D)10
E)11
If SP = 10, loss is a%
If SP = 12, profit is a%
So CP must be right in between 10 and 12 to get the same loss and profit.
CP = 11
Profit of a% = (12-11)/11 * 100 = 100/11%
Answer (C)
Hi
VeritasKarishma,
The explanation is really cool, but my question is the CP could have been 11.5 or 10.9. You just picked up an integer 11.
While this approach helps in solving the question quickly, but is this the right approach in the first place?
Thanks.
Note that profit and loss percents are same i.e. "a%".
They are calculated on cost price as the base.
If the selling prices are 10 and 12, the ONLY POSSIBLE value of CP is 11 to give you the same profit % and loss %.
Try to put CP = 11.5 and you will find that profit % will be less than loss %.
Try to put CP =10.9 and you will find that profit % is greater than loss %.
Now think, if selling prices were 10 and 15, what would be the CP?
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Karishma
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