Calculate Daily Work (Efficiency)

Find the work done per day for A, B, and the group (A+B+C): $Efficiency_A = 1/6$, $Efficiency_B = 1/8$, $Efficiency_{A+B+C} = 1/3$.

$Efficiency_C = \frac{1}{3} - (\frac{1}{6} + \frac{1}{8})$

Solve for C's Efficiency

Find a common denominator (24) to calculate C's daily work: $Efficiency_C = \frac{8}{24} - (\frac{4}{24} + \frac{3}{24}) = \frac{8 - 7}{24} = 1/24$.

$Efficiency_C = \frac{1}{24}$

Determine Ratio of Earnings

The ratio of their shares is the ratio of their daily work: $A:B:C = 1/6: 1/8: 1/24$. Multiply by 24 to get the integer ratio: $4: 3: 1$.

$\text{Ratio} = 4:3:1$

Calculate Share of C

Sum of ratios is $4 + 3 + 1 = 8$. Share of C is $\frac{1}{8}$ of the total earnings of ₹3,848.

$C = \frac{1}{8} \times 3848 = 481$