A $480 car stereo is marked up 50% and then discounted 50%. Will the final price of the car stereo be $480?

Hi! Let's look at this question. First of all, let's put the question into more understandable terms.

A = 480 + (480 * 1.5)

B = A - (A * 1.5)

The question wants to know, is B = 480.

Break it down.

50% of 480 is 240, so A = 480 + 240 = 720.

A = 720

50% of 720 is 360, so B = 720 - 360 = 360.

B = 360

B = / = 480, so the final price of the car stereo will not be $480.

No, it would be $360 final price

Because 720 is the price raised 50% higher from 480

When discounted 50% from 720 the 50% is 360

So $360