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Question

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 toys produced in a day. On a particular day, the total cost of production was Rs 750. Find out the number of toys produced on that day.
[2 Marks]

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Solution

Let the number of toys produced be x.
Cost of production of each toy =Rs(55x)
[0.5 Marks]

It is given that, total production of the toys = Rs750
x(55x)=750 [0.5 Marks]
x255x+750=0
x225x30x+750=0
x(x25)30(x25)=0
(x25)(x30)=0 [0.5 Marks]
Either, x25=0 or x30=0
x=25 or x=30
Hence, the number of toys will be either 25 or 30.
[0.5 Marks]

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