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A,B,andC enter into partnership by investing ₹1500,₹2500,₹3000, respectively.A as a Manger gets one-tenth of the total profit and the remaining profit is divided among the three in the ratio of their investments.If share of A is ₹369,find the shares of Band C?
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A,B,andC enter into partnership by investing ₹1500,₹2500,₹3000, respec...
Partnership Investment Overview
A, B, and C have invested different amounts in a partnership:
- A's investment: ₹1500
- B's investment: ₹2500
- C's investment: ₹3000

Total Investment Calculation
To find the total investment:
- Total Investment = A's investment + B's investment + C's investment
= ₹1500 + ₹2500 + ₹3000
= ₹7000

Profit Distribution
1. **Manager's Share**: A receives one-tenth of the total profit.
2. **Remaining Profit**: The rest is shared among A, B, and C according to their investments.

Calculating Shares
Let the total profit be ₹P.
- A's share from profits = ₹P/10
- Remaining profit = ₹P - ₹P/10 = ₹9P/10
The remaining profit is shared in the ratio of their investments:
- A's share from remaining profit = (A's investment / Total Investment) × Remaining Profit
= (1500/7000) × (9P/10)
= (9P/70)
- B's share from remaining profit = (B's investment / Total Investment) × Remaining Profit
= (2500/7000) × (9P/10)
= (9P/28)
- C's share from remaining profit = (C's investment / Total Investment) × Remaining Profit
= (3000/7000) × (9P/10)
= (27P/70)

Calculating A's Total Share
Total share of A = A's share from profits + A's share from remaining profit
= ₹P/10 + (9P/70)
= (7P + 9P) / 70
= (16P/70) = (8P/35)
Given A's share is ₹369:

Finding Total Profit (P)
Set the equation:
8P/35 = 369
=> P = (369 × 35) / 8
=> P = ₹1618.125

Finding Shares of B and C
- B's share: (9P/28)
= 9 × 1618.125 / 28 = ₹519.39
- C's share: (27P/70)
= 27 × 1618.125 / 70 = ₹622.50

Final Shares Summary
- B's share = ₹519.39
- C's share = ₹622.50
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A,B,andC enter into partnership by investing ₹1500,₹2500,₹3000, respectively.A as a Manger gets one-tenth of the total profit and the remaining profit is divided among the three in the ratio of their investments.If share of A is ₹369,find the shares of Band C?
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