Amelia started a business with Olivia, with their investment Rs. 8000 and Rs. 4000 respectively. If the ratio of their profit

Amelia started a business with Olivia, with their investment Rs. 8000 and Rs. 4000 respectively. If the ratio of their profit share at the end of the year is 7:6, then find that after how many months, Amelia left the business?

a.            6 months

b.            9 months

c.             11 months

d.            5 months

e.            7 months

Sol:

Let Amelia left the business after x months.

Ratio of profit share of Amelia and Olivia in business,

8000 * x : 4000 * 12 = 7:6

8000x/48000 = 7/6

8x = (7 * 48)/6 x = 7 months