A cottage industry produces a certain number of toys in a day. The cost of production of each toy (in Rs.) was found to be 55 minus the number of toys produced in a day. On a particular day, the cost of production was 750. If x denotes the number of toys produced that day, then what are the values of x?

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25 or 30

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20 or 30

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Detailed Solution

Given that the cost of production of each toy (in rupees) was found to be 55 minus the number of toys produced in a day.
Let the number of toys produced in a day = x.
Cost of production of each toy on the given day (in Rs.) = 55 – x.
Total cost of production on the given day (in Rs.) = x(55 – x).
According to the question, the total cost of production on the given day (in Rs.) = 750.
The equation formed will be
x(55 – x) =750