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CBSE Class 8 Answered

An incentive of a 4% discount is given on the sale of a thermos flask. If the sale should result in an 8% profit, how much percentage above the cost price should the flask be marked?
Asked by jaiswalsindhuli717 | 10 Sep, 2018, 03:53: PM
answered-by-expert Expert Answer
According to the question,
d = 4%, profit = 8%, 
Let selling price be Rs. x.
begin mathsize 16px style MP space equals space fraction numerator SP cross times 100 over denominator 100 minus straight d percent sign end fraction equals fraction numerator 100 straight x over denominator 100 minus 4 end fraction equals fraction numerator 100 straight x over denominator 96 end fraction equals fraction numerator 25 straight x over denominator 24 end fraction
CP equals fraction numerator SP cross times 100 over denominator 100 plus profit percent sign end fraction equals fraction numerator 100 straight x over denominator 108 end fraction equals fraction numerator 25 straight x over denominator 27 end fraction
Profit space equals space MP space minus space CP space equals space fraction numerator 25 straight x over denominator 24 end fraction minus fraction numerator 25 straight x over denominator 27 end fraction equals fraction numerator 25 straight x over denominator 216 end fraction
Profit percent sign equals profit over CP cross times 100
Profit percent sign equals fraction numerator fraction numerator 25 straight x over denominator 216 end fraction over denominator fraction numerator 25 straight x over denominator 27 end fraction end fraction cross times 100 equals 12.5 percent sign end style
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