Wheel’s Bicycle shop advertised a bicycle for 15% off for a savings of $36. The bicycle did not sell so it was offered at a new 20% discount off the sale price.
(a) What did the bicycle sell for regularly?
(b) What is the amount of the new discount?
(a) (0.15) x (regular price) = $36
Regular price = 36/0.15 = $240
(b) First sale price = 240 - 36 = $204.
Second discount = 0.20 x $204 = _____
To find the regular selling price of the bicycle, we can first determine the discounted price after a 15% discount.
(a) Let's assume the regular selling price of the bicycle is "x" dollars. The first discount of 15% means the bicycle is sold for 85% of its regular price.
The equation for this would be: 0.85x = x - $36
Simplifying the equation, we have:
0.85x - x = - $36
-0.15x = - $36
x = $36 / 0.15
x = $240
Therefore, the regular selling price of the bicycle is $240.
(b) Now we need to find the new discount. The new discount is stated as 20% off the sale price.
To calculate the new discount, we need to find the sale price after the first 15% discount.
The sale price after the first discount would be:
Sale price = Regular price - Savings
Sale price = $240 - $36
Sale price = $204
Next, we calculate the new discount:
New discount = 20% of sale price
New discount = 20% of $204
New discount = 0.2 * $204
New discount = $40.80
Therefore, the new discount amount is $40.80.