The marked price of an item was Rs. 100000, but the shopkeeper offered a double discount of 20 percent and 10 percent. At what price did he finally sell the item?

Correct option is A

Given:
The marked price of the item = Rs. 100000
First discount = 20%
Second discount = 10%

Formula Used:

$$\text{Final Price} = \text{Marked Price} \times \left( 1 - \frac{\text{First Discount}}{100} \right) \times \left( 1 - \frac{\text{Second Discount}}{100} \right)$$

Solution:

The first discount of 20% reduces the price to 80% of its original value:

100000 × 80% = Rs. 80000

The second discount of 10% reduces this price to 90% of its value:
 80000 × 90% = Rs. 72000