Question

The sales tax rate in Bergville is $6\%$ . During a sale at the Bergville Coat Closet, the price of a coat is discounted $20\%$ from its $\$90.00$ price. Two clerks, Jack and Jill, calculate the bill independently. Jack rings up $\$90.00$ and adds $6\%$ sales tax, then subtracts $20\%$ from this total. Jill rings up $\$90.00$ , subtracts $20\%$ of the price, then adds $6\%$ of the discounted price for sales tax. What is Jack’s total minus Jill’s total?

$-\$ 1.06$

$-\$ 0.53$

$\$ 0$

$\$ 0.53$

$\$ 1.06$

Answer: C

Concepts:percentage

Difficulty rating: 1060

Solution:

Jack’s total is $90.00\cdot1.06\cdot0.80$ dollars.

Jill’s total is $90.00\cdot0.80\cdot1.06$ dollars.

These products are equal because multiplication is commutative, so Jack’s total minus Jill’s total is $\$0$ .

Thus, C is the correct answer.

2005 AMC 8 Problem 11

Answer: C

Difficulty rating: 1060

Solution:

Problem 11 in Other Years