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Two friends Ajit and Lalit made investments in a business in the ratio 60:40. Lalit had borrowed his entire invested amount as personal loan at an annual interest rate of 5%.He repaid this loan after one year. After 5 years of investment, they got a profit of 30% on the total investment they had made. What is the ratio of actual profit made by Ajit and Lalit?
  • a)
    3 : 2
  • b)
    2 : 3
  • c)
    9 : 5
  • d)
    11 : 18
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Two friends Ajit and Lalit made investments in a business in the ratio...
Let Ajit’s and Lalit’s investment be 3x and 2x respectively (v their investment ratio is 60:40 i.e. 3:2)
Profit after 5 years of investment = 30% of 5x = (30/100) 5x = 1.5x
Profit share of Ajit in ratio (60:40) of their investment = 3/5th of 1.5x = 0.9x
Profit share of Lalit = 1.5x - 0.9x = 0.6x
Interest paid by Lalit for one year of borrowing = 5% of 2x = 0.1x
Hence, actual profit of Lalit = 0.6x - 0.1x = 0.5x
Hence, ratio of their profits = (0.9x) : ( 0.5x) = 9 : 5
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Two friends Ajit and Lalit made investments in a business in the ratio...


Calculation of Profit Made by Ajit and Lalit:


  • Initial Investment Ratio: Ajit and Lalit made investments in the ratio 60:40.

  • Interest on Lalit's Loan: Lalit borrowed his entire invested amount as a personal loan at an annual interest rate of 5%.

  • Repayment of Loan: Lalit repaid the loan after one year.

  • Profit Ratio: After 5 years, they got a profit of 30% on the total investment.



Calculation:


  • Let's assume Ajit's investment = $60x$

  • Lalit's investment = $40x$

  • Interest paid by Lalit after 1 year = $40x \times 0.05 = $2x$

  • Remaining investment after interest repayment = $40x - $2x = $38x$

  • Total investment after 5 years = $(60x + 38x) \times 5 = $490x$

  • Total profit = $0.30 \times $490x = $147x$



Actual Profit Ratio:


  • Ajit's profit = $60x \times 0.30 = $18x$

  • Lalit's profit = $40x \times 0.30 = $12x$

  • Ratio of actual profit made by Ajit and Lalit = $18x : $12x = 3 : 2$



Therefore, the ratio of actual profit made by Ajit and Lalit is 3 : 2.
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Two friends Ajit and Lalit made investments in a business in the ratio 60:40. Lalit had borrowed his entire invested amount as personal loan at an annual interest rate of 5%.He repaid this loan after one year. After 5 years of investment, they got a profit of 30% on the total investment they had made. What is the ratio of actual profit made by Ajit and Lalit?a)3 : 2b)2 : 3c)9 : 5d)11 : 18Correct answer is option 'C'. Can you explain this answer?
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Two friends Ajit and Lalit made investments in a business in the ratio 60:40. Lalit had borrowed his entire invested amount as personal loan at an annual interest rate of 5%.He repaid this loan after one year. After 5 years of investment, they got a profit of 30% on the total investment they had made. What is the ratio of actual profit made by Ajit and Lalit?a)3 : 2b)2 : 3c)9 : 5d)11 : 18Correct answer is option 'C'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Two friends Ajit and Lalit made investments in a business in the ratio 60:40. Lalit had borrowed his entire invested amount as personal loan at an annual interest rate of 5%.He repaid this loan after one year. After 5 years of investment, they got a profit of 30% on the total investment they had made. What is the ratio of actual profit made by Ajit and Lalit?a)3 : 2b)2 : 3c)9 : 5d)11 : 18Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two friends Ajit and Lalit made investments in a business in the ratio 60:40. Lalit had borrowed his entire invested amount as personal loan at an annual interest rate of 5%.He repaid this loan after one year. After 5 years of investment, they got a profit of 30% on the total investment they had made. What is the ratio of actual profit made by Ajit and Lalit?a)3 : 2b)2 : 3c)9 : 5d)11 : 18Correct answer is option 'C'. Can you explain this answer?.
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