Question

A cottage industry produces a certain number of wooden 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 ₹750 . What id the number of toys produced on that day

Answer 1

LET x BE THE NUMBER OF TOYS PRODUCED ON THAT DAY
ATQ
THE COST OF AN EACH TOYS  55 - x = 750/x
                                                  =>55x - x2(X SQUARE) = 750
                                                      X2 - 55X + 750 = 0
                                                      X2 -(30+25)x + 750= 0(SPLITTING THE MIDDLE TERM)
                                                      x2 - 30x - 25x + 750 =0
                                                      x(x-30) - 25(x - 30) = 0
                                                    (X-30)(X-25) =0
EITHER X=30                       OR           X=25
HENCE NO. OF TOYS PRODUCED ON THAT DAY IS EITHER 30 OR 25. 

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Answer 2

Hope this helps
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