13 men can do a work in x days and 17 women can do the same work in (x + 10) days. 13 men and 17 women together can do the same work in (75/8) days. With the assistance of 5 children, they finished the work in 5 days. If they undertook the work for Rs. 15,000, then what is the share of 1 child?

Total work = 1 unit. 13 men = 1/x, 17 women = 1/(x+10). Together 13 men + 17 women = 8/75. 1/x + 1/(x+10) = 8/75. Solving gives x=15. 13 men = 1/15, 17 women = 1/25. Together they do 8/75. In 5 days, they do 8/15. Remaining work = 7/15. 5 children do 7/15 in 5 days, so 7/75 per day. Total wages are proportional to work done. Share of 5 children = (7/15) * 15000 = 7000. Share of 1 child = 1400.