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Question
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?
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Answer
Assume Mayank, Mirza, Little and Jaspal paid a,b,c and d amounts respectively.
Now, a=(b+c+d)/2, b=(a+c+d)/3, c=(a+b+d)/4
b+c+d=2a =>3a=60 =>a=20
similarly, 4b=60 =>b=15
5c=60 => c=12.
d=60-(a+b+c)=13.
