(i) A cottage industry produces a certain number of potteries in a day. It was found
that the cost of production of each article was ` 5 more than twice the number of
potteries produced in a day. If the cost of production on that day was ` 168, find
the number of potteries produced.
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Answered by
18
Suppose total no. of article = x
A.T.Q
Price of one article = (2x + 5)
Total price = 168
x (2x+5) = 168
2x^2 + 5x = 168
2x^2 + 5x - 168 = 0
2x^2 + 21x - 16x - 168 = 0
x ( 2x + 21) - 2 (2x + 21) = 0
(x - 2) (2x + 21) = 0
If x - 2 = 0 If 2x + 21 = 0
x = 2 x = -21/2
( Not possible )
Article = 2x + 5
= 2(2) + 5
= 4 +5
= 9
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