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 ₹280?

• A. ₹250
• B. ₹240
• C. ₹200
• D. ₹220

Answer 1

The correct option is C ₹200

Given, Marked price = ₹280
Discount = Discount% of MRP
= 20% of ₹280 = $\left(\frac{20\times 280}{100}\right)=₹56$
Selling Price = 280 - 56 = ₹224

Profit = 12%
Profit% $=\left(\frac{Profit}{CP}\right)\times 100=\frac{(SP-CP)}{CP}\times 100$
$\Rightarrow \frac{12}{100}=\frac{(224-CP)}{CP}$
$\Rightarrow 0.12\times CP=224-CP$
$\Rightarrow 1.12CP=224$
$\Rightarrow CP=\left(\frac{224}{1.12}\right)=₹200$