A, B and C started a business each investing ₹20000. After 5 months 'A' withdrew ₹5000, 'B' withdrew ₹4000 and C invested ₹6000 more. At the end of the year, a total profit of ₹69900 was recorded. Find the share (in ₹) of A, B and C respectively in the profit.
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 20500, 21200, 28200
In a partnership, profit is shared in the ratio of each partner's capital × the time it was invested. Here each capital changes after 5 months, so it is counted for 5 months at the first amount and for the other 7 months at the new one.
Each partner's capital for the year (in ₹ × months):
A, ₹20000 for 5 months, then ₹15000 after withdrawing ₹5000: \(20000\times5+15000\times7=205000\)
B, ₹20000 for 5 months, then ₹16000 after withdrawing ₹4000: \(20000\times5+16000\times7=212000\)
C, ₹20000 for 5 months, then ₹26000 after adding ₹6000: \(20000\times5+26000\times7=282000\)
Sharing the profit in that ratio:
Ratio \(205000:212000:282000=205:212:282\), in all \(699\) parts
Value of one part: \(\frac{69900}{699}=100\)
Share of A: \(205\times100=20500\)
Share of B: \(212\times100=21200\)
Share of C: \(282\times100=28200\)