A sum of ₹5200 is divided amongst A, B, C and D such that the ratio of shares of A and B is 2 : 3, that of B and C is 4: 5 and that of C and D is 1 : 2. What is the difference between the shares of B and D?

₹1440

A  :  B  :  C  :  D

2  :  3  :

    :  4  :  5  :

    :      :  1  :  2

8  :  12 :  15 : 30

⇒ (8 + 12 + 15 + 30) units = Rs. 5200

⇒ 65 units = 5200

⇒ 1 unit = Rs. 80

⇒ Difference between shares of B and D = 30 - 12 = 18 x 80 = Rs. 1440.