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? (Select all that apply)

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

Answer 1

Answer: (C), (D)

The correct options are
C Rs. 200

D Rs. 180


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. $\left(\frac{100}{112}\right)\times 224$
$=Rs.200$