Question

An article is sold at a certain price.By selling it at 2/3 of that price one loses 10%.Find the gain percentage at original price.​

Answer 1

Answer:

Let the cost price=100 Rs.

loss=10%

Then selling price=100−10=90Rs

S.P is

3

2

of original price

∴Originalprice=90×

2

3

=135Rs.

Profit=135−100=35Rs.

Gain percentage=

100

35

×100=35

Answer 2

Answer:

the original selling price be : x and the new selling price is : (2/3) of x = 2x/3

we know CP=(100/(100-Loss))*SP

Where SP is Selling Price. here, Loss = 10% and SP = 2x/3

Now CP=(100/90)*(2X/3)=20X/27 This is the Cost Price for that article.

Selling Price is : x

Gain = Cost Price - Selling Price

=X-20X/27=7X/27

Now Gain%= (7x/27)/(20x/27)= 35%