Multiple choice

P, Q and R entered into a partnership with their initial capital in the ratio of 3 : 5 : 8 respectively. After third month P withdrew 1/ 3 rd of his initial capital and Q withdraw half of his initial capital. After next six months P increased his capital by 100% more, Q increased by 300% more and R increased by 25% more. If at the end of an year, difference between profit share of Q and R was Rs. 7000, then find profit share of P?

  1. 5500 Rs.

  2. 5000 Rs.

  3. 6500 Rs.

  4. 5200 Rs.

  5. 4500 Rs.
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A Correct answer
Explanation

This is a complex partnership problem with changing capital contributions over time. Initial ratio is 3:5:8. After 3 months, P withdraws 1/3 and Q withdraws half. After 9 months total (6 more months), P increases by 100%, Q by 300%, and R by 25%. The profit share is proportional to time-weighted capital. Given Q-R difference is Rs. 7000, P's share is calculated as Rs. 5500.

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