A sum is divided among A, B, C and D such that the ratio of the shares of A and B is 1 : 3, that of B and C is 1 : 4 and that of C and D is 3 : 4. If the difference between the shares of A and D is Rs 630, then the sum is :
Answer & explanation
Correct answer: option 4
a : b : c : d
1 : 3 : __ : __
__ : 1 : 4 : __
__ : __ : 3 : 4
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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
1 : 3 : 3 : 3 ..........(i)
1 : 1 : 4 : 4 ..........(ii)
3 : 3 : 3 : 4 ..........(iii)
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3 : 9 : 36 : 48 (product of (i) to (iii))
1 : 3 : 12 : 16 = 32R (total)
Now,
Difference between A & D = 15R = 630
⇒ 1R = 42
Hence, Sum = 32R = 32 x 42 = 1344