Question

Somesh and kamesh started a business with an investment of Rs.96000. The ratio of their investments is 1:2. After 6 months, both somesh and kamesh withdraw Rs.7000 and Rs.4000, respectively. If at the end of the year, the profit is Rs.18100, then find the ratio of profits of Somesh and Kamesh.

Answer 1

Answer:

Somesh & Kamesh

57:124

5700 & 12400

Step-by-step explanation:

Somesh : kamesh :: 1:2

Somesh and kamesh investment for first 6 month

Somesh investment = (1/(1+2)*96000 = 32000

Kamesh investment = (2/(1+2)*96000 = 64000

After 6 month for remaining 6 month

Somesh invest ment = 32000 - 7000 = 25000

Kamesh investment = 64000 - 4000 = 60000

Average investment of Somesh = (32000 + 25000)/2 = 28500

Average investment of Kamesh = (64000 + 60000)/2 = 62000

Ratio of their investments

Somesh : kamesh :: 28500 : 62000

285 : 620

57 : 124

Somesh profit = (57/(57 + 124) ) * 18100 = (57/181)*18100 = 5700

Kamesh profit = (124/(57 + 124)) * 18100 = (124/181)*18100 = 12400