Question

A merchant offers a large group of items at $30\%$ off. Later, the merchant takes $20\%$ off these sale prices and claims that the final price of these items is $50\%$ off the original price. The total discount is

$35\%$

$44\%$

$50\%$

$56\%$

$60\%$

Answer: B

Concepts:percentage

Difficulty rating: 1180

Solution:

Let the original price be $x$ . After the $30\%$ discount, the price is $0.70x$ .

Taking another $20\%$ off that sale price leaves $0.80\cdot0.70x=0.56x$ .

The customer pays $56\%$ of the original price, so the total discount is $44\%$ .

Thus, B is the correct answer.

2002 AMC 8 Problem 14

Answer: B

Difficulty rating: 1180

Solution:

Problem 14 in Other Years