Calculate 1-day work of Aarav and Babita

Aarav can complete the work alone in $6$ days, so his 1-day work is $\frac{1}{6}$. Babita can complete it in $8$ days, so her 1-day work is $\frac{1}{8}$.

$\text{Aarav} = \frac{1}{6}, \quad \text{Babita} = \frac{1}{8}$

Calculate Chaitanya's 1-day work

Together with Chaitanya, they completed the work in $3$ days. Thus, their combined 1-day work is $\frac{1}{3}$. Chaitanya's 1-day work is obtained by subtracting Aarav and Babita's combined work from $\frac{1}{3}$.

$\text{Chaitanya} = \frac{1}{3} - \left(\frac{1}{6} + \frac{1}{8}\right) = \frac{1}{3} - \frac{7}{24} = \frac{1}{24}$

Find the efficiency ratio

Wages are distributed in the ratio of the work done per day (efficiencies) by each person over the same period. The ratio of 1-day work for Aarav, Babita, and Chaitanya is $\frac{1}{6}: \frac{1}{8}: \frac{1}{24}$, which simplifies to $4: 3: 1$.

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

Calculate Babita's share

Total wages = ₹2,400. Total ratio parts = $4 + 3 + 1 = 8$. Babita's share is proportional to her ratio part ($3$).

$\text{Babita's Share} = \frac{3}{8} \times 2,400 = 900$