Sangram, Avinash and Akash entered into a partnership by investing Rs 40,000, Rs X, and Rs 44,000 respectively for 6 months, 8 months and 10 months respectively. If Avinash earns a profit of Rs 33000 out of a total profit of Rs 89100, find the total investment done by all three.
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94000
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50000
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108000
-
78000
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134000
E
Correct answer
Explanation
Calculate investment-time products: Sangram = 40000×6 = 240000; Avinash = X×8 = 8X; Akash = 44000×10 = 440000. Total ratio units = 680000+8X. Avinash's profit share = 33000/89100 = 37.04%. So 8X/(680000+8X) = 33000/89100. Cross-multiply: 8X×89100 = 33000×(680000+8X). Solving gives X = 50000. Total investment = 40000+50000+44000 = 134000, matching option E.