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The organizers of a maths quiz decided that each winner in the competition should get a prize of Rs.500 and each participant who does not win should get a

participation prize of Rs.100 if the total money distributed is Rs.11,100 and the total number of participants is 63, then find the number of winners in the competition.

Let the number of winners be x. Then, number of losers=(63-x) Total prize=Rs.11100 Total prize given to winners=500*x=500x Total prize given to losers=100(63-x)=6300-100x Given 500x+6300-100x=11100 or,400x=11100-6300=4800 or,x=4800/400=12 Therefore, number of winners=12 .

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Winner gets Rs 500. Others get Rs 100. Let there be W winners. Then 63-W are not winners (other participants)

So total money distributed = 500 W + (63-W) 100 = 11,100 5 W + 63 - W = 111 4 W = 48 W = 12 SO there are 12 winners in the competition.