A sum of ₹ x is divided among A, B and C such that the ratio of shares of A and B is 3 : 4 and that of B and C is 5: 6. If C receives ₹1440 more than what A receives, then the value of x is?
A:B=3:4
A:B=15:20
B:C=5:6
B:C=20:24
A:B:C=15:20:24
sum =15a+20a+24a=59a
24a-15a=1440
9a=1440
a=160
Total=59*160
=9440
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