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Akhil invested a certain amount of money in a business for 10 months. After Two months, Amit invested Rs. 4000 more than Akhil in the same business. If Akhil and Amit received Rs. 38500 and Rs. 42000 respectively as their profit after 10 months, find Amit’s investment?
  • a)
    Rs. 11000
  • b)
    Rs. 13000
  • c)
    Rs. 15000
  • d)
    Rs. 17000
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Akhil invested a certain amount of money in a business for 10 months....
Let Akhil's investment be Rs. 'x'
Amit's investment = Rs. (x + 4000)
Now,
Ratio of their investments = Ratio of their share of profit
(x × 10):[(x + 4000) × 8] = 38500 : 42000
⇒10x/(32000+8x) = 11/12
⇒ 120x = 352000 + 88x
⇒ 32x = 352000
⇒ x = Rs.11000
∴ Amit's investment = 4000+11000= Rs. 15000
Hence, the correct option is (C).
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Community Answer
Akhil invested a certain amount of money in a business for 10 months....
Given Information:
Akhil invested a certain amount of money in a business for 10 months.
After two months, Amit invested Rs. 4000 more than Akhil in the same business.
Akhil and Amit received Rs. 38500 and Rs. 42000 respectively as their profit after 10 months.

Solution:
Let's assume Akhil invested Rs. x in the business.
Amit invested Rs. (x + 4000) in the business.

Calculating Profit Share:
Akhil's profit share = Rs. 38500
Amit's profit share = Rs. 42000
Akhil's profit share : Amit's profit share = Akhil's investment : Amit's investment
38500 : 42000 = x*10 : (x + 4000)*8 [as Akhil invested for 10 months and Amit for 8 months]
385 : 420 = 10x : 8(x + 4000)
385 : 420 = 10x : 8x + 32000
385 : 420 = 2x : 32000
385/2 : 420/2 = x : 16000
192.5 : 210 = x : 16000
x = Rs. 15000
Therefore, Amit's investment = Rs. 15000 + Rs. 4000 = Rs. 19000
Hence, the correct answer is option C) Rs. 19000.
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Akhil invested a certain amount of money in a business for 10 months. After Two months, Amit invested Rs. 4000 more than Akhil in the same business. If Akhil and Amit received Rs. 38500 and Rs. 42000 respectively as their profit after 10 months, find Amit’s investment?a)Rs. 11000b)Rs. 13000c)Rs. 15000d)Rs. 17000Correct answer is option 'C'. Can you explain this answer? for CLAT 2025 is part of CLAT preparation. The Question and answers have been prepared according to the CLAT exam syllabus. Information about Akhil invested a certain amount of money in a business for 10 months. After Two months, Amit invested Rs. 4000 more than Akhil in the same business. If Akhil and Amit received Rs. 38500 and Rs. 42000 respectively as their profit after 10 months, find Amit’s investment?a)Rs. 11000b)Rs. 13000c)Rs. 15000d)Rs. 17000Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CLAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Akhil invested a certain amount of money in a business for 10 months. After Two months, Amit invested Rs. 4000 more than Akhil in the same business. If Akhil and Amit received Rs. 38500 and Rs. 42000 respectively as their profit after 10 months, find Amit’s investment?a)Rs. 11000b)Rs. 13000c)Rs. 15000d)Rs. 17000Correct answer is option 'C'. Can you explain this answer?.
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