A and B invest in a business in the ratio 4 : 5. After 10 months 8 leaves the business after withdrawing his investment. In the first year the business made a profit of Rs. 49,000. What is B's share (in Rs.) of this profit?

Solution (By Examveda Team)

\[\begin{array}{*{20}{c}} {{\text{Partners}}}&{\text{A}}&:&{\text{B}} \\ {{\text{Capital}}}&4&:&5 \\ {{\text{Time}}}&{12}&:&{10} \\ {{\text{Profit ratio}}}&{24}&:&{25} \end{array}\]
Total profit = 49 units   (25 + 24)
Total profit = Rs. 49,000   (Given)
49 units = Rs. 49,000
1 unit = Rs. $$\frac{{49,000}}{{49}}$$  = Rs. 1,000
∴ 25 units = 25 × 1,000
B's share = Rs. 25,000