Raju and Ramesh started a business with investing capital in the ratio of 9:16. After 5 months, Raju reduced his 1/3 portion of the capital and after 8 months, Ramesh added his 1/4 portion of the capital. If the total profit at the end of the year is Rs. 5900, what would be the Ramesh share in it?

Let the Raju’s capital = 9 x Ramesh’s capital = 16 x Total profit = Rs. 5,900 According to the question, Total capital invested by Raju = 9x × 5 + (9x × (2 )/(3 )) × 7 = 87 x Total capital invested by Ramesh = 16x × 8 + (16x × (5 )/(4 )) × 4 = 208 x Share of Raju and Ramesh = 87 x : 208 x Share of Ramesh = (5900 )/(295 )× 208 = Rs. 4,160

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