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Let the profit be Rs 100 The ratio of investment of Karan , Arjun & Mukesh = 75,000 : 90,000 : 1,05,000 = 5:6:7 As (12.5% + 7.5%) = 20% = 20 is distributed among Karan and Arjun for management and remaining 80% = 80 is distribution in all 3 as per profit. So share of Karan = 80 ×5/(5+6+7) + 12.5 = ( 80×5/18 )+ 12.5 = (200/9) + 12.5 = 312.5/9 units So 312.5/9 units = Rs. 9375 1 unit = Rs. 270 So Share of Mukesh =80 ×7/(5+6+7) = 280/9 units = 280/9× 270 = Rs. 8400
sin2 9 ° + sin2 10 ° + sin2 11 ° + sin2 12 ° + ……… + sin2 81 ° = ?
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