question_answer

Vishakha offers a discount of 20% on all the items at her shop and still makes a profit of 12%. What is the cost price of an article marked at Rs. 280?

Answer:

Marked Price =Rs. 280

Discount = 20% of Rs.280

\[=\frac{20}{100}\times 280=Rs.56\]

So,  selling price \[=Rs.\left( 280-56 \right)\]

=Rs. 224

Let the cost price be Rs.  100

Profit =12% of Rs.  100

=Rs. 12

So

Selling price = Rs. (100 + 12) = Rs. 112

If the selling price is Rs. 112, cost price = Rs. 100

If the selling price is Rs. 224, cost price = Rs.

\[\frac{100\times 224}{112}\]

= Rs. 200.