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Anuj, kamlesh and Vinni invested Rs. 16000, Rs. 8000 and Rs. 16000 respectively to open a business. Anuj left after 6 months. If after 8 months, there was a gain of Rs. 8010, then What will be the share of kamalesh?
  • a)
    1780
  • b)
    1635
  • c)
    1680
  • d)
    1800
  • e)
    None of these
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Anuj, kamlesh and Vinni invested Rs. 16000, Rs. 8000 and Rs. 16000 res...
Answer – A (1780) Explanation – Anuj : Kamalesh : Vinni = (16000 x 6) : (8000 x 8) : (16000 x 8) = 48 : 32 : 64 = 3 : 2 : 4.
Kamal’s share = Rs.8010 x 2/9 = Rs. 1780.
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Anuj, kamlesh and Vinni invested Rs. 16000, Rs. 8000 and Rs. 16000 res...
Answer – A (1780) Explanation – Anuj : Kamalesh : Vinni = (16000 x 6) : (8000 x 8) : (16000 x 8) = 48 : 32 : 64 = 3 : 2 : 4.
Kamal’s share = Rs.8010 x 2/9 = Rs. 1780.
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Anuj, kamlesh and Vinni invested Rs. 16000, Rs. 8000 and Rs. 16000 res...
Given:
- Anuj invested Rs. 16000
- Kamlesh invested Rs. 8000
- Vinni invested Rs. 16000
- Anuj left after 6 months
- After 8 months, there was a gain of Rs. 8010

To find:
- Kamlesh's share of the gain

Solution:
Let's first calculate the total investment made by all three:
Total investment = Rs. (16000 + 8000 + 16000) = Rs. 40000

Now, Anuj left after 6 months, so his share in the gain will be calculated for only 6 months. Kamlesh and Vinni invested for the entire 8 months, so their share in the gain will be calculated for 8 months.

Anuj's share = (16000 x 6)/40000 = Rs. 2400
Remaining gain = Rs. (8010 - 2400) = Rs. 5610

Now, Kamlesh and Vinni will share this remaining gain in the ratio of their investments:
Kamlesh's share = (8000/40000) x 5610 = Rs. 1122

Therefore, Kamlesh's share of the gain is Rs. 1122.

Answer: Option A. 1780.
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