Question

A sum of Rs. 427 is to be divided among A, B and C such that 3 times A’s share, 4 times B’s share and 7 times C’s share are all equal. The share of C is :

• A. 84
• B. 140
• C. 196
• D. 240
• E. none

Answer 1

The correct option is A

84

$3A=4B=7C=k,ThenA=\frac{k}{3},B=\frac{k}{4}andC=\frac{k}{7}.$

$A:B:C=\frac{k}{3}:\frac{k}{4}:\frac{k}{7}=28:21:12.$

$C^{\prime }sshare=Rs.427\times \left(\frac{12}{61}\right)=Rs.84$