A profit of Rs 1800 is to be divided among three partners who invested in the ratio 4:5:9 find the share of each.

solution,

profit =Rs 1800

let the commonn multiple be 'x'

then, 4:5:9

4x:5x:9x

now,

or,4x+5x+9x = Rs 1800

or, 18x = Rs180

or, x = Rs1800÷18

or, x = Rs100

x=Rs100

again,

4x = 4 × x

= 4×100

=Rs 400

5x = 5 × x

= 5 × 100

= Rs 500

9x = 9 × x

= 9 ×100

= Rs 900

Therefore,9x= Rs900, 5x= Rs500 and 4x= Rs400.