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P and Q make a partnership, P invests ₹ 8000 for 8 months and Q remains in the business for 4 months. Out of the total profit, Q claims 2 / 7 of the profit. How much money was contributed by Y ?
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- ₹ 5000
- ₹ 5400
- ₹ 7400
- ₹ 6400
- None of the above
Correct Option: D
Q gets 2/7 of the profit.
∴ P gets(1 - 2/7) = 5/7 of the profit
∴ P : Q = 5/7 : 2/7 = 5 : 2
Let the contribution of Q be a.
Then, 8000 x 8 : a x 4 = 5 : 2
⇒ 64000/4a = 5/2
⇒ 20a = 128000
∴ a = 128000/20 = ₹ 6400
