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Mayank, Mirza, Little and Jaspal bought a motorbike for $60. Mayank paid one-half of the sum of the amounts paid by the other boys. Mirza paid one-third of the sum of the amounts paid by the other boys. Little paid one-fourth of the sum of the amounts paid by the other boys. How much did Jaspal have to pay?
See.. Suppose x rs contribution of mayank, y for mirza and z for little.
So x+y+z=60
Now conditions are provided like
X=y/2+z/2
Y=x/3+z/3
Z=x/4+z/4
Now solve these three equation to get a relation in x, y and z
Put these relation in first equation to get the value.
m + mi + l + j = 60
m = 1/2(mi + l + j) mi = 1/3(m + j + l) l = 1/4 (m + mi + j)
3m=60 => m = 20 4mi =60 => mi =15 5l = 60 => l= 12
Jaspal's contribution = 60 - (20 +15 + 12) = 13$
Answer will be $13 and not $12.
