A sum of money is divided equally among some children. If there were 10 fewer children, each would get Rs.5 more; if there were 10 more children, each would get Rs.3 less. What is the amount divided?

The amount divided is Rs.600.

Let there be n children each getting Rs.a, so total = na.

(n - 10)(a + 5) = na gives n - 2a = 10.

(n + 10)(a - 3) = na gives 10a - 3n = 30.

Solving these, a = 15 and n = 40.

Total = na = 40 x 15 = 600.