A sum of ₹12,000 is divided between A, B, C and D such that the ratio of shares of A and B is 8 : 9, that of B and C is 2:3 and that of C and D is 9 : 13. What is the difference between the shares of B and D?

₹2,520

 A  :  B  :  C  :  D 

 8  :  9

        2  :  3

                9  :  13

________________

16 : 18 : 27  : 39

Difference between the shares of B and D = $\frac{21}{100}$ x 12000

                                          = ₹2520