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Akash,Balu and Gopi invested Rs. 6000 , Rs.4000 and Rs.8000 in a business.Akash left a business after 6 months.If after one year there was a gain of Rs.5200.Then what will be the share of Akash ?
- a)1000
- b)1020
- c)1040
- d)1004
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Akash,Balu and Gopi invested Rs. 6000 , Rs.4000 and Rs.8000 in a busin...
Answer -C) 1040 Explanation : A B G
6000×6 4000×12 8000×12
3 4 8
A:B:G = 3:4:8
Akash share = 5200×(3/15) = 1040
6000×6 4000×12 8000×12
3 4 8
A:B:G = 3:4:8
Akash share = 5200×(3/15) = 1040
Most Upvoted Answer
Akash,Balu and Gopi invested Rs. 6000 , Rs.4000 and Rs.8000 in a busin...
Given:
- Akash invested Rs. 6000
- Balu invested Rs. 4000
- Gopi invested Rs. 8000
- Akash left the business after 6 months
- Total gain after one year is Rs. 5200
To find:
- Share of Akash
Solution:
Step 1: Calculate the total investment
Total investment = Akash's investment + Balu's investment + Gopi's investment
Total investment = Rs. 6000 + Rs. 4000 + Rs. 8000
Total investment = Rs. 18000
Step 2: Calculate the share of Akash for 6 months
Akash's share = (Akash's investment / Total investment) * Total gain
Akash's share = (Rs. 6000 / Rs. 18000) * Rs. 5200
Akash's share = (1/3) * Rs. 5200
Akash's share = Rs. 1733.33
Step 3: Calculate the share of Balu and Gopi for one year
Since Akash left the business after 6 months, Balu and Gopi will share the remaining gain for the full year.
Total remaining investment = Total investment - Akash's investment
Total remaining investment = Rs. 18000 - Rs. 6000
Total remaining investment = Rs. 12000
Balu's share = (Balu's investment / Total remaining investment) * Total gain
Balu's share = (Rs. 4000 / Rs. 12000) * Rs. 5200
Balu's share = (1/3) * Rs. 5200
Balu's share = Rs. 1733.33
Gopi's share = (Gopi's investment / Total remaining investment) * Total gain
Gopi's share = (Rs. 8000 / Rs. 12000) * Rs. 5200
Gopi's share = (2/3) * Rs. 5200
Gopi's share = Rs. 3466.67
Step 4: Calculate the final share of Akash
Since Akash left the business after 6 months, his share will be half of his share for the full year.
Final share of Akash = Akash's share / 2
Final share of Akash = Rs. 1733.33 / 2
Final share of Akash = Rs. 866.67
Step 5: Convert the final share to the nearest rupee
The final share of Akash is Rs. 866.67, which can be rounded to Rs. 867.
Therefore, the share of Akash is Rs. 867, which is not among the given options. None of the given options is correct.
- Akash invested Rs. 6000
- Balu invested Rs. 4000
- Gopi invested Rs. 8000
- Akash left the business after 6 months
- Total gain after one year is Rs. 5200
To find:
- Share of Akash
Solution:
Step 1: Calculate the total investment
Total investment = Akash's investment + Balu's investment + Gopi's investment
Total investment = Rs. 6000 + Rs. 4000 + Rs. 8000
Total investment = Rs. 18000
Step 2: Calculate the share of Akash for 6 months
Akash's share = (Akash's investment / Total investment) * Total gain
Akash's share = (Rs. 6000 / Rs. 18000) * Rs. 5200
Akash's share = (1/3) * Rs. 5200
Akash's share = Rs. 1733.33
Step 3: Calculate the share of Balu and Gopi for one year
Since Akash left the business after 6 months, Balu and Gopi will share the remaining gain for the full year.
Total remaining investment = Total investment - Akash's investment
Total remaining investment = Rs. 18000 - Rs. 6000
Total remaining investment = Rs. 12000
Balu's share = (Balu's investment / Total remaining investment) * Total gain
Balu's share = (Rs. 4000 / Rs. 12000) * Rs. 5200
Balu's share = (1/3) * Rs. 5200
Balu's share = Rs. 1733.33
Gopi's share = (Gopi's investment / Total remaining investment) * Total gain
Gopi's share = (Rs. 8000 / Rs. 12000) * Rs. 5200
Gopi's share = (2/3) * Rs. 5200
Gopi's share = Rs. 3466.67
Step 4: Calculate the final share of Akash
Since Akash left the business after 6 months, his share will be half of his share for the full year.
Final share of Akash = Akash's share / 2
Final share of Akash = Rs. 1733.33 / 2
Final share of Akash = Rs. 866.67
Step 5: Convert the final share to the nearest rupee
The final share of Akash is Rs. 866.67, which can be rounded to Rs. 867.
Therefore, the share of Akash is Rs. 867, which is not among the given options. None of the given options is correct.
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Akash,Balu and Gopi invested Rs. 6000 , Rs.4000 and Rs.8000 in a business.Akash left a business after 6 months.If after one year there was a gain of Rs.5200.Then what will be the share of Akash ?a)1000b)1020c)1040d)1004e)None of theseCorrect answer is option 'C'. Can you explain this answer?
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