# math

posted by Kirk

Two automobile dealers, A and B, had the same car which was listed at \$18,000. Dealer A offered a
\$1200 rebate and would negotiate a further 8% discount after rebate. Dealer B offered an 8% discount and
would negotiate a further \$1200 rebate.
(a) Which dealer has the lowest price? _____________
(b) What is the lowest price? ______________

1. Danny

Dealer B has the lowest price \$15,360.

The working:
Dealer A's Price:
After rebate price = List Price - \$1,200 = 18,000 - 1,200 = \$ 16,800.
8% discount * after rebate price = 8%*\$16,800 = \$1,344
Net price = \$16,800 - \$1,344 = \$15,456

Dealer B's Price:
(100% List price - 8% of list price) - \$1,200 =
(92% of list price) - \$1,200 = (92%*18,000) - \$1,200 = 16,560 - 1,200 = \$15,360

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