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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» 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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