Answer:
200
Explanation:
Total amount to be distributed is $600.
Ratio of distribution is 1:2:3
Let the smallest share be x
Then the other shares will be 2x and 3x as per the ratio of distribution.
But sum of all shares is 600.
![\[=> x+2x+3x=600\]](https://img.qammunity.org/2021/formulas/mathematics/middle-school/d93e9isrbjxoryytcmtrxkf3e9mf55p4d2.png)
![\[=> 6x=600\]](https://img.qammunity.org/2021/formulas/mathematics/middle-school/eawa0phacn2rqilmv7nbx7par9hp7iflf7.png)
![\[=> x=(600)/(6)\]](https://img.qammunity.org/2021/formulas/mathematics/middle-school/560fgqxjfz1mevqrurh37nmvwghi4rj8qa.png)
![\[=> x=100\]](https://img.qammunity.org/2021/formulas/mathematics/middle-school/vhe0sfqihc8nwx5s63kr2lpr1taoulmwqd.png)
So the respective shares are 100,200 and 300.
Difference between the largest and smallest share is
![\[300-100 = 200\]](https://img.qammunity.org/2021/formulas/mathematics/middle-school/4z340qneshkc5gedb119olzj3t3xnanj9x.png)