a mobile phone was listed for $432 less 30% 12.5% 5% . What is the exact single rate of discount that was allowed
First 303030 % discount:
30100×432=129.6\frac{30}{100}\times432=129.610030×432=129.6
432−129.6=302.4432-129.6=302.4432−129.6=302.4
Second 12.5 % discount:
12.5100×302.4=37.8\frac{12.5}{100}\times302.4=37.810012.5×302.4=37.8
302.4−37.8=264.6302.4-37.8=264.6302.4−37.8=264.6
Third 5% discount:
5100×264.6=13.23\frac{5}{100}\times264.6=13.231005×264.6=13.23
264.6−13.23=251.37264.6-13.23=251.37264.6−13.23=251.37
The exact single rate of discount is:
432−251.37432×100=41.81\frac{432-251.37}{432}\times100=41.81432432−251.37×100=41.81
=41.81=41.81=41.81 %
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