Three friends, Arya Bhatt, Gauss and Descartes invested ₹24,00,000, ₹30,00,000 and ₹18,00,000 respectively in their business as partners for 3 years. The ratio in which they will divide their profits will be:

4 : 5 : 3

The correct answer is Option () - 

Investment by Arya Bhatt = ₹24,00,000 for 3 years

Investment by Gauss = ₹30,00,000 for 3 years

Investment by Descartes = ₹18,00,000 for 3 years

Profit sharing ratio ∝ Capital × Time

Arya Bhatt : Gauss : Descartes

$=24\times3 : 30\times3 : 18\times3$

$=72 : 90 : 54$

Divide by 18

$=4 : 5 : 3$

The ratio of profit sharing is 4 : 5 : 3.