Question

A mountain bike is discounted by 30% and then discounted an additional 10% for shoppers who arrive before 5:00 a.m. How much does the bicycle cost at 4:40 a.m if it's regularly priced at $425?

a) $276.75
b) $289.80
c) $297.45
d) $306.00

Answer 1

The mountain bike costs $267.75 at 4:40 a.m. after a 30% discount followed by a 10% discount on the already reduced price, calculated consecutively from the original price of $425.

Step-by-step explanation:

The question involves calculating the final price of a mountain bike after consecutive discounts are applied. To find the cost of the bike at 4:40 a.m., we initially applied a 30% discount to the regular price of $425. Calculating 30% of $425 gives us 0.30 × $425 = $127.50. Subtracting this from the original price, we get $425 - $127.50 = $297.50, which is the price after the first discount.

Next, an additional 10% discount is applied to the discounted price of $297.50. Calculating 10% of $297.50 is 0.10 × $297.50 = $29.75. Subtracting this additional discount from the discounted price, $297.50 - $29.75 gives us the final cost of the bike: $267.75.

Therefore, the mountain bike's cost at 4:40 a.m. after all discounts have been applied would be $267.75.