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

Solution

Correct Answer: Option C

ধরি 
বিজয় এর সংখ্যা = x জন 
বিজয় হয়নি এমন এর সংখ্যা = 63 - x জন 

প্রশ্নমতে 
25(63 - x) + 100x = 3000
⇒ 1575 - 25x + 100x = 3000
⇒ 75x = 3000 - 1575
⇒ 75x = 1425
⇒ x = 1425/75
∴ x = 19

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