A man divides Rs 8,60,000 among his 5 sons, 4 daughters and 2 nephews. If each daughter receives four times as much as each nephew and each son receives five times as much as each nephew, then how much does each daughter receive?

Each daughter receives Rs 80000.

Let each nephew get x; then each daughter gets 4x and each son gets 5x.

Total = 5 x 5x + 4 x 4x + 2 x x = 25x + 16x + 2x = 43x.

43x = 860000, so x = 20000.

Each daughter = 4x = 4 x 20000 = 80000.

Method: express all shares in one unit and equate to the total.