Two friends P and Q started a business investing in the ratio of 5 : 6. R joined them after six months investing an amount equal to that of Q’s. At the end of the year, 20% profit was earned which was equal to ₹98,000. What was the amount invested by R?
Let the total investment be ₹x.
Then, 20% of x = 98000
Let the capitals of P, Q and R be ₹5x, ₹6x and ₹6x respectively. Then,
(5x × 12) + (6x × 12) + (6x × 6) = 490000 × 12
∴ R’s investment
= 6x = ₹(6 × 35000) = ₹210000.