Naman sells an item at ₹$$x$$​, after giving two successive discounts each of 10% on its marked price. If he does not give any discount on the marked price, he earns a profit of 25%. The cost price of the item is ₹800. What is the value of $$x$$​ ?

Correct option is B

Given:

Two successive discounts of 10% each are given on the marked price.
Selling price after discount = ₹x
If no discount is given, profit = 25%
Cost Price = ₹800

Formula Used:

​$$\text{Marked Price} = \text{Cost Price} \times \left( \frac{100 + \text{Profit \%}}{100} \right)$$

Selling Price after two successive discounts $$= \text{MP} \times \left(1 - \frac{d_1}{100} \right) \times \left(1 - \frac{d_2}{100} \right)$$​​​

Solution:

​$$\text{MP} = 800 \times \left( \frac{125}{100} \right) = 1000$$

Selling Price after two successive 10% discounts = $$x = 1000 \times 0.9 \times 0.9 = 1000 \times 0.81 = 810$$​​​

Final Answer: (B) 810