What profit percentage is made by selling an article at a certain pric

Question

What profit percentage is made by selling an article at a certain price if by selling it at half that price there would be a loss of 10% ?

(A) 80%
(B) 70% 
(C) 60% 
(D) 40% 
(E) 50%

rvgmat12 · Answer

Let price be 100.

Price halfed loss of 10 percent so reduced price is 90

180 is the actual selling price. Profit of 80 percent

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Mugdho · Answer

10%=1/10=9/10=SP/CP
So,Original SP=18
Profit= *100=80%

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wishmasterdj · Answer

I assumed CP to be 100
and let the price at which it is regularly sold to be X

but in the loss example, 100-X/2 = 10
X=180

Profit = 180-100
=80

Profit % = 80/100 = 80%

Saransh123 · Answer

can  you please explain the highlighted portion

wishmasterdj · Answer

X here is assumed to be the selling price.

So, if profit, it would be X-100, and
if loss, it would be 100-x

Now, in the question it is given that if he sold it at half that price (which is X/2), he incurs a loss of 10%

Therefore either 100-X/2 = 10, OR X/2-100 = -10

Saransh123 · Answer

Thank You soo much  wishmasterdj  for clearing my doubt, here comes a kudos for you

MathRevolution · Answer

Let the cost price be 20.

If loss % is 10%, then S.P. is 18

Now selling for S.P. = 36 will give us a profit of  \frac{(36-20)}{20} * 100 = 80%

Answer A

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