Question

the initial price of a home entertainment system is $34,000. It is discounted by 10% and then by a further 26%. Find the price of the item.

Answer 1

The final price of the item is $22,644

The initial discount of 10% leaves the price at 90% of the retail value:
$\frac{x}{34000} = \frac{90}{100}$
cross multiply to solve for x:
100x = 3,060,000
x = 30,600
This new price is then discounted 26%, which means the final price is 74% of $30,600:
$\frac{x}{30600} = \frac{74}{100}$
cross multiply to solve for x:
100x = 2,264,400
x = 22,644
The final price of the home entertainment system is $22,644