Two friends A and B invest in a buissness in partnership. B borrows 20% of A's salary, combines it with 60% of his salary and invest with A, who puts all of his remaining salary. One year later the ratio of profit of A and B is 5:3 respectively and B returns Rs.21000 to A which he borrowed from him. What is the difference between salary of A and B?

Rs. 56000

Let the salary of A be 10a and salary of B be 10b.

Borrowings by B from A = 20% of A's salary = 2a

investment by A = 10a-2a = 8a

investment by B = (2a + 6b)

⇒ {8a/(2a + 6b)} = 5/3 ....................(1)

⇒ 24a = 10a + 30b ⇒ (a/b) = (15/7)

Thus, B returns Rs. 21,000 to A ⇒ 2a = 21,000 ⇒ a = 10500

investment by A = 8a = Rs. 84000

Salary of A = 10a = Rs. 105000

From equation (1), Investment by B = 84000 × (3/5)

⇒ (2a + 6b) = 50400 ⇒ 6b = 50400 - 21000 ⇒ b = 4900

⇒ salary of B = 10b = Rs. 49000

Difference = Rs. (105000 - 49000) = Rs. 56000

The correct answer is Option (1) → Rs. 56000