Question

4. A manufacturer makes 750 pencils at a cost of 60 paise per pencil. He fixes the S.P. such that if only
600 pencils are sold, he would make a profit of 40% on his outlay. However, he sells 630 pencils
at this price. Find his actual profit percent as a percentage of total outlay assuming that the unsold
articles are useless.​

Answer 1

Step-by-step explanation:

Cost price of 750 articles at the cost of 60 paise per article is (750×

100

60

)=Rs.450.

⇒ Required profit is 40% of his outlay assuming that only 600 articles are sold.

⇒ S.P. of 600 article is,

⇒

100

100+40

×Rs.450=Rs.630.

⇒ S.P. of 1 article is Rs

600

630

,

⇒ He actually sells 630 articles.

⇒ S.P. of 630 article is,

⇒ 630×

600

630

=Rs.661.50

⇒ Actual profit is Rs.661.50−Rs.450=Rs.211.50.

⇒ ActualProfit%=

C.P.

Profit

×100%

⇒

450

211.50

×100%=47%