P and Q entered into a partnership with RS. 30,000 and RS. 60,000. After 4 months P invested RS. 15000 more while Q withdraw RS. 30000. Find the share of P in the annual profit of RS. 1,00,000.OptionsRS. 45000RS. 40000RS. 51000RS. 20000RS. 50000
Question
P and Q entered into a partnership with RS. 30,000 and RS. 60,000. After 4 months P invested RS. 15000 more while Q withdraw RS. 30000. Find the share of P in the annual profit of RS. 1,00,000.OptionsRS. 45000RS. 40000RS. 51000RS. 20000RS. 50000
Solution
To find the share of P in the annual profit of RS. 1,00,000, we need to calculate the individual contributions of P and Q.
Let's break down the problem step by step:
-
Initial investments:
- P invested RS. 30,000
- Q invested RS. 60,000
-
After 4 months:
- P invested an additional RS. 15,000
- Q withdrew RS. 30,000
-
Calculation of individual contributions:
- P's total investment = RS. 30,000 + RS. 15,000 = RS. 45,000
- Q's total investment = RS. 60,000 - RS. 30,000 = RS. 30,000
-
Calculation of profit sharing ratio:
- P's share = P's total investment / (P's total investment + Q's total investment)
- P's share = RS. 45,000 / (RS. 45,000 + RS. 30,000)
- P's share = RS. 45,000 / RS. 75,000
- P's share = 3/5
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Calculation of P's share in the annual profit:
- P's share = P's share * Total profit
- P's share = (3/5) * RS. 1,00,000
- P's share = RS. 60,000
Therefore, the share of P in the annual profit of RS. 1,00,000 is RS. 60,000.
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