Three friends invested Rs. 14000 in a business. One year hence, the profits of the first, the second and the third friends are Rs. 337.50, Rs. 1125 and Rs. 637.50 respectively. Find the amount of money invested by each of them.

Explanation

The ratio fo the profit of three friends `=337.50:1125:637.50`
`=337 1/2: 1125: 637 1/2`
`=675/2:1125:1275/2`
`=675:2250:1275=9:30:17`
So the ratio their capitals `=9:30:17` [ `:'` ratio of profit `=` ratioi of capital]
`:.` The part of the capital of the first friend `=9/(9+30+17)=9/56`
The part of the capital of the second friend `=30/56`
and that of the third friend `=17/56`
So in Rs. 14000, the investment of the first friend `=Rs. 14000xx9/56=Rs. 2250`
The investment of the second friend `=Rs. 14000xx30/56=Rs. 7500`
The investemnt of the third friend `=Rs. 14000xx17/56=Rs. 4250`
Hence three friends investemnt Rs. 2250, Rs./ 7500 and Rs. 4250 respectively.