A sum of Rs. 47,600 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 3 : 4 and that of C and D is 4 : 13. What is the difference between the shares of A and C?

2800

a    :    b     :     c     :     d

8    :    9     :   __    :    __

__  :    3     :     4    :    __

__  :   __    :    4     :    13

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*Note: Fill the numbers in the blanks, which is immediately left or right to the given numbers in a row.

We get:

a    :    b    :    c    :    d

8    :    9    :    9    :    9       ..........(i)

3    :    3    :    4    :    4       ..........(ii)

4    :    4    :    4    :   13       ..........(iii)

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96  :  108  :   144  :  468          (product of (i) to (iv))

 8   :    9   :     12  :   39     = 68R

Now,

Total = 68R = 47600

1R = 700

Difference between A and C = 4R = 4 × 700 = 2800