A sum of ₹ 31866 is divided between A, B, and C such that the ratio of shares of A and B is 9: 8 and that of A and C is 4 : 5 The share (in₹) of B is:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e 9024.
It is given that,
A : B = 9 : 8 and A : C = 4 : 5.
In both, the ratio A is common so the value of A must be equal.
to make A equal in both the ratio one must multiply the first ratio by 4 and the second ratio by 9,
Now A : B = 36 : 32 and A : C = 36 : 45
So A : B : C = 36 : 32 : 45.
Share of B = × 31866 = ₹9024.