A and B entered into a business with capital ₹80,000 and ₹1,20,000 respectively. after 4months each invested ₹20,000 more .the difference in the share of their profit in the year end profit is ₹68,000 is?
answer : 12,000
need explanation
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Gɪᴠᴇɴ :-
- A and B entered into a business with capital ₹80,000 and ₹1,20,000 respectively.
- After 4months each invested ₹20,000 more .
- Total Profit Earned At the End of 1 Year = Rs.68,000.
Tᴏ Fɪɴᴅ :-
- The difference in the share of their Profit ?
Fᴏʀᴍᴜʟᴀ ᴜsᴇᴅ :-
- Profit is Distributed in The ratio of Their Money Invested * Time. .
Sᴏʟᴜᴛɪᴏɴ :-
→ A invest for First Four Month = Rs.80,000
→ A invest for Rest 8 Months of the year = (80000+20000) = Rs.1,00,000
Similarly,
→ B invest for First Four Month = Rs.1,20,000
→ B invest for Rest 8 Months of the year = (120000+20000) = Rs.1,40,000
Therefore,
→ Ratio of Profit of A : B = (80000*4 + 100000*8) : (120000*4+140000*8)
→ Ratio of Profit of A : B = (320000+800000) : (480000+1120000)
→ Ratio of Profit of A : B = 1120000 : 1600000
→ Ratio of Profit of A : B = 112 : 160
Ratio of Profit of A : B = 7 : 10
So,
→ Total Profit = 7 + 10 = 17 units.
Now, Given That,
→ 17 units = 68000
→ Difference (10 - 7) = 3 units = (68000/17) * 3 = Rs.12,000 (Ans.)
Hence, The difference in the share of their Profit is Rs.12,000 .
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