A shopkeeper marks an article at ₹x and offers a discount of 60% on it. He sells it for ₹444 after charging VAT of 25% on thediscounted price. What is the value of ₹ x?

Correct option is C

Given:

Marked price = ₹x

Discount offered = 60%

Selling price after discount = 40% of x

VAT = 25% on the discounted price

Final selling price after VAT = ₹444

Formula Used:

The discounted price is calculated as:

Discounted Price = $$x \times \frac{40}{100}$$​ = 0.4x

The final price after VAT is:

Selling Price after VAT= Discounted Price + VAT

Solution:

Final selling price after 25% VAT

Final selling price =  $$0.4x \times \left(1+\frac{25}{100}\right)$$​​

Now,

​$$444 = 0.4x \times \frac{125}{100} \\ \ \\444 = 0.4x \times 1.25 \\ \ \\444 = 0.5x \\ \ \\x = \frac{444}{0.5} = 888$$​​