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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​

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Answer:

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

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