The marked price of an article is ₹ 840. A shopkeeper gives a discount of 15% on the marked price and still makes a profit of 19%. What is the cost price of the article ?

The correct answer is ₹ 600.

Step 1: Understand the given values
Marked Price (MP) = ₹ 840
Discount percentage = 15%
Profit percentage = 19%

Step 2: Calculate the Selling Price (SP)
The discount is given on the marked price.

$\text{Discount Amount}=15\%\text{of}840=\frac{15}{100}\times 840=126$

$\text{Selling Price (SP)}=\text{Marked Price}-\text{Discount Amount}=840-126=\text{₹}714$

Step 3: Calculate the Cost Price (CP)
The shopkeeper makes a profit of 19% on the cost price.

$\text{Selling Price (SP)}=\text{Cost Price (CP)}\times \left(1+\frac{\text{Profit \%}}{100}\right)$

$714=\text{CP}\times \left(1+\frac{19}{100}\right)=\text{CP}\times \frac{119}{100}$

$\text{CP}=\frac{714\times 100}{119}=6\times 100=600$

Thus, the cost price of the article is ₹ 600.