Question

A mother and her two daughter got a room constructed for rs 62000. The elder daughter contributed 3/8 of her mother's contribution while the younger daughter contributes 1/2 of her mother's share. How much do the three contribute individual. Answer in detail.

Answer 1

let mother contribution = x
elder daughter = (3/8) * x
younger           = 1/2 * x
 x + 3x/8 + x/2  = 62000
8x + 3x + 4x = 496000
15x = 496000
  x = 33066.67
so mother's contribution = 33066.67
elder contribution   = 3/8 * 33066.67 = 12400
younger                 = 1/2 * 33066.67 = 16533.33

Answer 2

x + 3x/8 + x/2  = 62000
8x + 3x + 4x = 496000
15x = 496000
  x = 33066.67
so mother's contribution = 33066.67
elder contribution   = 3/8 * 33066.67 = 12400
younger                 = 1/2 * 33066.67 = 16533.33