Sunday, October 11, 2009

A manufacturer of ice skates offered chain discounts of 6/5/1 to many of its customers.?

Bob’s sporting goods offered 30 pairs of ice skates that had a total list price of $1,800. What was the net price paid by Bobs Sporting Goods? What amount was the trade discount? Round to the nearest cent.

A manufacturer of ice skates offered chain discounts of 6/5/1 to many of its customers.?
Let


P1: price after 1st discount


P2: price after 2nd chain discount


P3: price after 3rd chain discount


P3 is the net price paid





chain discount of 6/5/1 means





6 means: first discount of 6% of original price 1,800


so P1 = 1,800 * .94 = 1692





5 means 2nd discount of 5% of P1 (price after 1s discount)


so, P2 = 1692 *.95 = 1607.4





1 means: last dicount of 1% of P2


so, P3 = 1607.4 * .99 = 1591.34





net price paid = P3 = 1591.34





trade discount = original price - P3


= 1800 - 1591.34 = 208.66
Reply:1st trade discount:


$1,800.00 * 0.06


$108.00





2nd trade discount:


($1,800.00 - $108.00) * 0.05


$1,692.00 * 0.05


$84.60





3rd trade discount:


($1,800.00 - $108.00 - $84.60) * 0.01


$1,607.40 * 0.01


$16.07





Net price of 30 pairs of ice skates:


$1,800.00 - $108.00 - $84.60 - $16.07


$1,591.33





The amount of trade discount was:


$108.00 + $84.60 + $16.07


$208.67



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