To determine B's share, we'll use the given total amount and the specified ratio. Let's break it down step by step.
The total amount to be divided is ₹ 4,850, and the ratio of their shares is given as [tex]\( A : B : C = 3 : 4 : 5 \)[/tex].
We'll follow these steps:
1. Calculate the total ratio:
[tex]\[
\text{Total Ratio} = 3 + 4 + 5 = 12
\][/tex]
2. Determine B's share based on the ratio:
Since B's ratio is 4, we can express B's share as a fraction of the total amount.
[tex]\[
\text{B's Share} = \left(\frac{\text{B's ratio}}{\text{Total Ratio}}\right) \times \text{Total Amount}
\][/tex]
Substituting the values we have:
[tex]\[
\text{B's Share} = \left(\frac{4}{12}\right) \times 4,850
\][/tex]
3. Calculate B's share:
[tex]\[
\text{B's Share} = \left(\frac{1}{3}\right) \times 4,850 = \left(\frac{4,850}{3}\right) = 1,616.67
\][/tex]
So, B's share is [tex]\( ₹ 1,616.67 \)[/tex]. Given the options, the closest match is:
(c) ₹ 1,626.66
