Question
Mayank and Manoj started a business with investing
capital in the ratio of 8:15. After 4 months, Mayank reduced his (1 )/(4 ) portion of the capital and after 7 months, Manoj added his (1 )/(5 ) portion of the capital. If the total profit at the end of the year is Rs. 8,250, what would be Manoj’s share in it?Solution
Let the Mayank’s capital = 8 x Manoj’s capital = 15 x Total profit = Rs 8,250 According to the question, Total capital invested by Mayank = 8 x ×4+8 ×(8x-(8x )/4) = 32x + 48x = 80x Total capital invested by Manoj = 15 x ×7+5 ×(15x+(15x )/5) = 105x + 90x = 195x Share of Mayank and Manoj = 80 x : 195 x Share of Manoj = (8,250 )/(275 )× 195 = Rs. 5,850
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