Question

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?

• A. Rs. 250
  
• B. Rs. 240
  
• C. Rs. 200
  
• D. Rs. 180
  

Answer 1

The correct option is C Rs. 200


Marked price = Rs. 280
Discount of $20\%$ = Rs. 280 $\times$ 0.80 = Rs. 224
So, the selling price of an article = Rs. 224.
Let the cost price be Rs. 100
Selling price of article = Rs. 100 + Rs. 100 $\times$ $\left(\frac{112}{100}\right)$ = Rs. 112.
If the selling price is Rs. 112, then cost price is Rs. 100
If the selling price is Rs. 224, then cost price is Rs. $\left(\frac{100}{112}\right)$ $\times$ 224
= Rs. 200