The marked price of an article is 30% above it's selling price and the cost price is 35%less than it's marked price. find the discount percent and gain percent

Let C be the cost price of the article. Then:

C (1+30%) = marked price

So:

C (1+30%) = C (1.3)

=1.3C

If the article is then marked down 35%, then its' price would be:

1.3C (1-35%) = 1.3C (.65)

=0.845 or 84.5% of its' cost

Then:

0.845-1=-0.155

or, a 15.5% loss on the item