Question

A drone that costs $129.50 is discounted 40%. the next month,the sale price is discounted and additional 60%. is the drone now free .if the drone is free please explain.if the drone is not free what is the sales price?

Answer 1

We have an original price of $129.50.

Then, the price is discounted 40%. After that, the price is discounted 60%.

We can think of this discount in steps:

1) the first discount of 40% means that the new price is 100%-40% = 60% of the original price:

`P^(\prime)=((100-40)/(100))\cdot P=0.6\cdot P`

2) The second discount of 60% means that the new price is 100%-60% = 40% of the already discounted price:

`P^(\prime\prime)=((100-60)/(100))P^(\prime)=0.4\cdot P^(\prime)=0.4\cdot(0.6P)=0.24\cdot P`

Then, the final price after the two discounts is 24% of the original price:

`P^(\prime\prime)=0.24\cdot P=0.24\cdot129.50=31.08`

Answer: The drone is not free. The final price of the drone is $31.08.