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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.


A

24

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B

25

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C

29

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D

30

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Solution

The correct options are B 25, D 30

Let the number of toys produced be x.

Cost of production of each toy =Rs(55x)
It is given that, total production of the toys = Rs750
x(55x)=750
x255x+750=0
x225x30x+750=0
x(x25)30(x25)=0
(x25)(x30)=0
Either, x25=0orx30=0
x=25 or x=30
Hence, the number of toys will be either 25 or 30.


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