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Quadratic Equations
Question
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A cottage industry produces a certain number of toys in a day. The cost of production of each toy (in rupees) was found to be 55 minus the number of articles produced in a day. On a particular day, the total cost of production was Rs. 750. We would like to find out the number of toys produced on that day.

Answer

Let the number of toys produced on that day = x
And, cost of production = (55 – x)
According to the given question,
x (55 – x) = 750
⇒ 55x – x2 – 750 = 0
x2 – 55x + 750 = 0
⇒ x2 – 30x – 25x + 750 = 0
⇒ x(x – 30) – 25(x – 30) = 0
⇒ (x – 30) (x – 25) = 0
⇒ x – 30 = 0 or x – 25 = 0
⇒ x = 30 or x = 25.
Hence, the number of toys produced on that day are 30 or 25.

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Some More Questions From Quadratic Equations Chapter

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Represent the following problem situations in the form of quadratic equations:
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