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. 20000RS. 51000RS. 50000RS. 40000
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. 20000RS. 51000RS. 50000RS. 40000
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 given information step by step:
- P and Q entered into a partnership with RS. 30,000 and RS. 60,000 respectively.
- After 4 months, P invested RS. 15,000 more.
- At the same time, Q withdrew RS. 30,000.
Now, let's calculate the individual contributions of P and Q:
P's initial investment = RS. 30,000 P's additional investment after 4 months = RS. 15,000 Total investment by P = RS. 30,000 + RS. 15,000 = RS. 45,000
Q's initial investment = RS. 60,000 Q's withdrawal after 4 months = RS. 30,000 Total investment by Q = RS. 60,000 - RS. 30,000 = RS. 30,000
Now, we can calculate the ratio of their investments:
P's ratio = RS. 45,000 / (RS. 45,000 + RS. 30,000) = 3/5 Q's ratio = RS. 30,000 / (RS. 45,000 + RS. 30,000) = 2/5
Next, we need to calculate the share of P in the annual profit of RS. 1,00,000:
P's share = P's ratio * Total profit = (3/5) * RS. 1,00,000 = RS. 60,000
Therefore, the share of P in the annual profit of RS. 1,00,000 is RS. 60,000.
None of the given options match the calculated share of P, so the correct answer is not provided in the options.
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