Question

Anirudh,harish and sahil invested a total of rs.1,35,000 in the ratio 5:6:4 anirudh invested has capital for 8 months. harish invested for 6 months and sahil invested for 4 months. if they earn a profit of rs.75,900,then what is the share of sahil in the profit?

Answer 1

The ratio of their investment is :

Anirudh : Harish : Sahil = 5 : 6 : 4

Sum of the ratios :

5 + 6 + 4 = 15

Anirudh = 5/15 × 135000 = 45000

Harish = 6/15 × 135000 = 54000

Sahil = 4/15 × 135000 = 36000

Their ratio after investment.

Anirudh = 45000 × 8 = 360000

Harish = 54000 × 6 = 324000

Sahil = 36000 × 4 = 144000

The ratios of their profits :

Anirudh : Harish : Sahil

360000 : 324000 : 144000

Divide through by 12000

30 : 27 : 12

Divide through by 3:

10 : 9 : 12

Sum of the ratios is :

23

This is the ratio of their profits :

Sahil's profit is :

12/23 × 75900 = 13200

Rs 13200