Aman began a business with ₹45,000 and was joined afterwards by Ashish with ₹30,000. When did Ashish join if the profit at the end of the year was divided in the ratio 2 : 1?

After 3 months

Investment of Aman = ₹45,000

Investment of Ashish = ₹30,000

                              Ashish                    Aman

Investment          ₹45,000                  ₹30,000                       

Time                       12                           x

                           ---------------------------------------

Profit                       36                          2x

                               2m            :           1m  ( Given)

Now, 2m =      36

m = 18

Now, 2x = 18

x = 9

So, Aman invested for 9 months or we can say that he invested for 3 months.