A shopkeeper offers his customers 15% discount and still makes a profit of 30%. What is the actual cost of an article marked Rs. 300?

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Solution

Formula : 1 Mark
Application : 1 Mark
Calculation : 2 Marks

We have,

Marked price = Rs. 300, Discount =15%

∴S.P.=MP×(100−Discount%100)

⇒S.P.=Rs{300×(100−15100)}=Rs{300×85100}=Rs255

Now, S.P. = Rs. 255 and Gain =30%

∴C.P.=100100+Gain%×S.P.

⇒C.P=Rs(100100+30×255)=Rs(100130×255)=Rs.196.15

Hence, the actual cost of the article is Rs. 196.15

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