A cottage industry produces a certain number of pottery articles in a
day. It was observed on a particular day that the cost of production of
each article (in rupees) was 3 more than twice the number of articles
produced on that day. If the total cost of production on that day was `
90, find the number of articles produced and the cost of each article.
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2
Answer:
A cottage industry produces a certain number of pottery articles in a
day. It was observed on a particular day that the cost of production of
each article (in rupees) was 3 more than twice the number of articles
produced on that day. If the total cost of production on that day was `
90, find the number of articles produced and the cost of each article
Answered by
4
Answer:
Let there be x articles.
Then the production cost of each article=3+2x
Total production cost x(3x+2x)=90
3x^2+2x^2=90
2x^2+3x-90=0
2x^2+15x-12x-90=0
2x(x-6)+15(x-6)=0
(2x+15)(x-6)=0
x=6,-15/2
Number cannot be negative
So,number of articles=6 and the cost of each articles=Rs.15.
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