P and q are sharing profit and losses equally. With effects from current year they decided to share profits in the ratio if 4:3 calculate individual partner gain and sacrifice
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Given:
- P and Q are partners in a firm, sharing profits and losses equally.
- They decided to share their profits and losses in the ratio 4:3.
To find: The gain/sacrifice of each partner.
Answer:
Since they were previously sharing their profits and losses equally, their ratio was 1:1.
- P's old share = 1/2
- Q's old share = 1/2
- P's new share = 4/7
- Q's new share = 3/7
Calculation of gain/sacrifice:
Gain/Sacrifice = Old share - New share
- If the difference is positive, it indicates a sacrifice.
- If the difference is negative, it indicates a gain.
For P:
- Gain/Sacrifice = 1/2 - 4/7 = (7 - 8)/14 = -1/14 [Gain]
For Q:
- Gain/Sacrifice = 1/2 - 3/7 = (7 - 6)/14 = 1/14 = [Sacrifice]
Therefore, P gains by 1/14 and Q sacrifices by 1/14.
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