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Asked by Sandeep Last Modified
Answer 
From the given question, we can obtain the following data.
prize of winner=100 Rupees
prize of a participant who doesn't win=25 Rupees
Total prize money=3000
total number of participant=63
Let number of winners=x
number of participant who doesn't win=y
total number of participant =x+y=63............(1)
total prize money=x*100+y*25=3000............(2)
from (1)
x+y=63
y=63-x.........(3)
substitute (3) into (2)
x*100+y*25=3000
100x+25(63-x)=3000
100x-25x+25*63=3000
75x=3000-25*63=3000-1575=1425
x=1425/75=19
ie number of winners=19
read less From the given question, we can obtain the following data.
prize of winner=100 Rupees
prize of a participant who doesn't win=25 Rupees
Total prize money=3000
total number of participant=63
Let number of winners=x
number of participant who doesn't win=y
total number of participant =x+y=63............(1)
total prize money=x*100+y*25=3000............(2)
from (1)
x+y=63
y=63-x.........(3)
substitute (3) into (2)
x*100+y*25=3000
100x+25(63-x)=3000
100x-25x+25*63=3000
75x=3000-25*63=3000-1575=1425
x=1425/75=19
ie number of winners=19
read lessLet the number of winners be x. Therefore, the number of participants who did not win will be 63 − x.
Amount given to the winners = Rs (100 × x) = Rs 100x
Amount given to the participants who did not win = Rs [25(63 − x)]
= Rs (1575 − 25x)
According to the given question,
100x + 1575 − 25x = 3000
On transposing 1575 to R.H.S, we obtain
75x = 3000 − 1575
75x = 1425
On dividing both sides by 75, we obtain
x = 19
Hence, number of winners = 19
read lessView 1 more Answers
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