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Two friends Ram and Ravi invest in a business in partnership. Ravi borrows 30% of Ram's salary and combines with 80% of his salary and invest with Ram, who puts all his remaining salary. One year later the ratio of profit of Ram and Ravi is 5 : 4 and Ravi returns Rs. 30,000 to Ram Which he borrowed from him. What is the difference between salary of Ram and Ravi ?

Two friends Ram and Ravi invest in a business in partnership. Ravi borrows 30% of Ram's salary and combines with 80% of his salary and invest with Ram, who puts all his remaining salary. One year later the ratio of profit of Ram and Ravi is 5 : 4 and Ravi returns Rs. 30,000 to Ram Which he borrowed from him. What is the difference between salary of Ram and Ravi ? Correct Answer Rs. 67,500

Solution - 

Let the salary of Ram be 10a and salary of Ravi be 10b.

⇒ investment by Ram = 7a

⇒ investment by Ravi = (3a + 8b)

⇒ {7a/(3a + 8b)} = 5/4 ....................(1)

⇒ 28a = 15a + 40b

⇒ (a/b) = (40/13)

⇒ Ravi returns Rs. 30,000 to Ram

⇒ 3a = 30,000

⇒ a = 10,000

⇒ investment by Ram = 7a = Rs. 70,000

⇒ Salary of Ram = 10a = Rs. 1,00,000

⇒From equation (1)

⇒ Investment by Ravi = 70,000 × (4/5)

⇒ (3a + 8b) = 56,000

⇒ 8b = 56,000 - 30,000

⇒ b = 3250

⇒ salary of Ravi = 10b = Rs. 32,500

⇒ Difference = Rs. (1,00,000 - 32,500) = Rs. 67,500

∴ difference between salaries between Ram and Ravi = Rs. 67,500

 

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