Question

Mithilesh makes 750 articles at a cost of 60 paise per article.He fixes the selling price such that if only 600 articles are sold,he would have made a profit of 40% on the outlay.However,120 articles got spoilt and he was able to sell 630 articles at this price.Find his actual profit percent as the percentage of total outlay assuming that the unsold articles are useless

Answer 1

C.P. of 750 articles at the rate of 60 paise per article is (750∙60 100 ) = 450. Required profit is 40% of his outlay assuming that only 600 articles are sold. S.P. of 600 articles is 100 +40 100∙ 450 = 630. S.P. of 1 article is 630 600 . He actually sells 630 articles. S.P. of 630 articles is 630∙630 600= 661.50. Actual profit is 661.50− 450 = 211.50. Actual profit % = ..∙100% = 211.50 450∙100% = 47%. 

Answer 2

Answer:

total cp=750*60

ATQ 600*x=7/5*750*60

x=105paise/article

now cp/sp=750*60/(630*105)=100/147

therfore profit %=147