In a 'Fresh Face' for year contest, the participants with the maximum 'likes' wins the contest. Of the three
finalists the 'likes' that Pia got was one third of what Ria got. Tia got as many 'likes' as Ria and Pia together. By
what percentage of 'likes' did the winner beat the first runners up?
(a) 12.5%
(b) 25%
(c) 37.5%
(d) 50%
Answers
Given : In a 'Fresh Face' for year contest, the participants with the maximum 'likes' wins the contest. Of the three finalists the 'likes' that Pia got was one third of what Ria got. Tia got as many 'likes' as Ria and Pia together
To find : By what percentage of 'likes' did the winner beat the first runners up?
Solution:
Let say Ria Got Likes = 3L
Pia got was one third of what Ria got
=> Pia got likes = (1/3)3L = L
Tia got as many 'likes' as Ria and Pia together
=> Tia Gots like = 3L + L = 4L
Tia = 4L ( winner)
Ria = 3L (1st runner up)
Pia = L (2nd runner up)
Total Likes = 4L + 3L + L = 8L
Winner beat 1st runner up by 4L - 3L = L Votes
% = (L/8L) * 100 = 12.5 %
By 12.5 % of 'likes' winner beat the first runners up
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