Discussion :: Partnership
- Praveen and Sunny enter into a partnership. Praveen puts in Rs. 50 and Sunny put in Rs. 45. At the end of 4 months Praveen withdraws half of his capital, and at the end of 6 months, Sunny withdraws half of his capital. Ashu Bhati then enters with a capital of Rs. 70. At the end of 12 months, in what ratio will the profit be divided?
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Answer : Option D
Explanation :
Let Praveen's capital is C1 = 50 for period T1= 4 months, and C11= 25 for period T11= 8
Sunny's capital is C2 = 45 for period T2 = 6 months, and C22 = 45/2 for period T22= 6 months.
Ashu Bhati's capital is C3 = 70 for period T3 = 6 months.
Now, apply the profit ratio formula:
(C1 * T1): (C2 * T2): (C3 * T3) = p1: p2: p3
But here we have 2 different values for Praveen and Sunny.
So, (C1 * T1 + C11 * T11): (C2 * T2 + C22 * T22): (C3 * T3) = p1: p2: p3
Now, (50*4 + 25*8): (45*6 + (45*2)/6): (70*6) = p1: p2: p3
The ratio of their profit is p1: p2: p3 = 400: 405: 420
Divide all ratios by 25.
Hence, the ratio will be 80: 81: 84
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