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?
Answer & explanation
Correct answer: option 2
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