In an essay competition, a winner gets a prize of Tk 100 and a participant who does not win gets a prize of Tk 25. The total prize money distributed is Tk 3,000. Find the number of winners, if the total number of participants is 63.

A 15
B 17
C 19
D 21

Correct Answer: 19

Let,       number of winners = x             number of participants(not gets a prize) = 63-xAccording to Question,        100x + 25(63-x) = 3000                                                   100x + 1575 - 25x = 3000                                                   75x = 3000-1575 = 1425                                                    x = 19 (Ans) 
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