P and Q entered a partnership for 3 yr. At the start of the business, they invested ₹ 13000 and ₹ 25000, respectively. At the end of 3 yr their total profit was ₹ 76000. What will be share of Q out of this profit?

₹ 50000
₹ 26000
₹ 55000
₹ 21000

Correct Answer: ₹ 50000

Explanation:

P's share : Q's share = Ratio of their investments
= 13000 : 25000 = 13 : 25
Now, let P's share = 13N
Q's share = 25N
According to the question,
13N + 25N = 76000
⇒ N = 76000/38 = 2000
∴ Q's share = 25N = 25 x 2000 = ₹ 50000

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