Explanation:

- Total earnings of 5 women and 9 girls in 9 days: Rs. 18,720

- Total for 9 women and 16 girls in 14 days: Rs. 52,080

- We form equations to determine daily wages:

- Let daily wage of women = W, and girls = G.

- $5W\times 9+9G\times 9=18,720$

- $9W\times 14+16G\times 14=52,080$

- Solving these equations gives us daily wages of each.

- Calculate for 12 women and 7 girls in 13 days.

- After getting daily wages, use:

- $12W\times 13+7G\times 13$

- Calculation yields Rs. 42,120

- Option 4: 42120