Question

Nora orders one bowl of noodles at a restaurant

which offers a 10% discount. There is a service
charges of 10% and GST is at 7%. Given that she pays
a total of $7.94, find the marked price of the noodles.

Answer 1

Let's denote the marked price of the noodles as "x" dollars.

First, Nora receives a 10% discount on the marked price, so the price after the discount can be calculated as (100% - 10%) * x = 0.9x.

Next, a service charge of 10% is applied to the discounted price. The price after the service charge is added is (100% + 10%) * 0.9x = 1.1 * 0.9x = 0.99x.

Finally, the Goods and Services Tax (GST) of 7% is applied to the price after the service charge. The price after adding GST is (100% + 7%) * 0.99x = 1.07 * 0.99x = 1.0593x.

According to the given information, Nora pays a total of $7.94. Therefore, we can set up the equation:

1.0593x = 7.94

Now we can solve for x:

x = 7.94 / 1.0593 ≈ $7.50

Hence, the marked price of the noodles is approximately $7.50.