Answer:

GIVEN, TOTAL NUMBER participants = 63

Total prize money distributed = RS 3000

Winner gets a prize of Rs 100

Loser gets a prize of Rs 25

Number of winners = ?

Let the number of winners = m

Since,

Number of winners + Number of LOSERS = Total number of participants

Or, m + Number of losers = 63

By transposing ‘m’ to RHS, we get

Number of losers =63–m

Now, Total Prize money distributed to winners

= Number of winners X prize money distributed to each winner =m×100=100m

Total prize money distributed to losers

= Number of losers X prize money distributed to each loser

=(63–m)×25=(63×25)–25m=1575–25m

Now, Total Prize money of winners + Total Prize money of losers = Total prize money

By substituting the total prize money distributed to winners and total prize money distributed to losers, we get

100m+1575–25m=3000

⇒100m–25m+1575=3000

By transposing 1575 to RHS, we get

100m–25m=3000–1575

⇒75m=1425

After dividing both sides by 75, we get

75m75=142575

Or, m=19

Thus, number of winners = 19 Answer