Question

A shop advertises that everything is "half price in today's sale." In addition, a coupon gives a 20% discount on sale prices. Using the coupon, the price today represents what percentage discount off the original price?

$10$

$33$

$40$

$60$

$70$

Answer: D

Concepts:percentage

Difficulty rating: 980

Video solution:

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Written solution:

Let $p$ be the original price. If everything is half off, we have the new price as $0.5p.$

Having a $20\%$ discount makes it such that we keep $80\%$ of the price, so the price is $0.5p\cdot 0.8 =0.4p.$

This would have $0.6p$ off, so we get a discount of $\dfrac{0.6p}{p} = 0.6,$ which is $60\%.$

Thus, the answer is D .

2012 AMC 8 Problem 8

Answer: D

Difficulty rating: 980

Video solution:

Written solution:

Problem 8 in Other Years