a cottage industry produces a certain number of patteries in a day . it was found that the cost of production of each article ₹5 more than twice the number of patteries produced in a day . if the cost of production on that day was ₹168, find the number of potteries produced.
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Answer:
no. of potteries is 8
Step-by-step explanation:
no. of potteries be x
cost of total production of a day = rs 168
cost of each potteries = rs 2x + 5
A/Q
(no. of article)(cost of each) = total cost
(x)(2x + 5) = 168
2x^2 + 5x = 168
2x^2 + 5x - 168 = 0
2x^2 + 21x - 16x - `168 = 0
x( 2x + 21) - 8 (2x + 21) = 0
(x -8)(2x + 21) = 0
now, x - 8 = 0 and 2x + 21 = 0
x = 8 and x = -21/2
since no. of potteries can not be -ve
therefore x = 8 and no. of potteries is 8
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