Question

A shop has a sale that offers 20% off all prices on the final day they reduce all the sale prices by 25% Linz buys a radio on the final day.

Work out the overall percentage reduction on the price of the radio.

Answer 1

It's not very clear if the 25% is just 25% of the original price, or of the reduced price, but let's assume is of the reduced price.

say the original price is "x", 20% off that, means the sale price is 80% of the original price, or (80/100) * x, or 0.8x.

then Linz shows up on the last day, and she's got 25% off from that price plus a beanie baby and a free garden hose.

so if the price is reduced by 25%, then the sale price is just 75% of whatever it was, but it was already reduced to 0.8x, what is 75% of 0.8x?

(75/100) * 0.8x, or 0.75 * 0.8x, which is 0.6x, now 0.6 * 100 is 60 to change it to percentage format, or 60% overall percentage reduction from the original price.

Answer 2

The correct answer is 40% of overall price reduction.

Explanation:

First step, we get the "sale price" that is 20% off. If the original price is "x", and the sale price is "y"

y= x- 0,20x

y=0,80x

Then we have another discount, 25% of the sale price, we will call this new price "z"

So, z=y-0,25y

z= 0,75y

Replacing

z=0,75*(0,80x)

z=0,60x

Overall reduction (OR) is the original price(x) minus the final price (z)

OR= x - z = 1- 0,60x = 0,40x

Linz will pay 60% of the original price , so the overall discount is 40%