A store reduces the price of a 50 inch television by 20% on Thursday and then reduces that price by another 15% on Sunday. If the final price of the television is 170, what was the original price before Thursday's discount?

Answer: the original price before Thursday's discount is $250

Step-by-step explanation:

Let x represent the original price before Thursday's discount.

The store reduces the price of a 50 inch television by 20% on Thursday. It means that the amount by which it was reduced is

20/100 * x = 0.2x

The new price on Thursday would be

x - 0.2x = 0.8x

The store then reduces that price by another 15% on Sunday. It means that the amount by which it was reduced is

15/100 * 0.8x = 0.12x

The new price on Sunday would be

0.8 - 0.12 = 0.68x

If the final price of the television is 170, it means that

0.68x = 170

x = 170/0.68

x = 250