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Investment of Sumit is 25% more than that of Manik and that of Ravi is rupees 8000 in that business. after 8 months Sumit and Manik have increase their amount by 20%, 25% respectively and at the end of the year, profit share of Sumit and Ravi becomes equal then find the profit share percentage of Manik?
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Investment of Sumit is 25% more than that of Manik and that of Ravi is...
Given information:
- Investment of Sumit is 25% more than that of Manik.
- Investment of Ravi is Rs 8000.
- After 8 months, Sumit's investment increases by 20% and Manik's investment increases by 25%.
- At the end of the year, the profit share of Sumit and Ravi becomes equal.
Let's solve the problem step by step:
Step 1: Determine the initial investments of Sumit, Manik, and Ravi.
Let Manik's investment be x.
Sumit's investment is 25% more than that of Manik, so Sumit's investment is 1.25x.
Ravi's investment is given as Rs 8000.
Step 2: Calculate the investments after 8 months.
After 8 months, Sumit's investment increases by 20%, so Sumit's new investment becomes 1.2 * 1.25x = 1.5x.
Manik's investment increases by 25%, so Manik's new investment becomes 1.25 * x = 1.25x.
Step 3: Calculate the profit shares at the end of the year.
Let the total profit at the end of the year be P.
The profit share of Sumit is (1.5x / (1.5x + 8000)) * P.
The profit share of Ravi is (8000 / (1.5x + 8000)) * P.
According to the given information, the profit share of Sumit and Ravi is equal.
(1.5x / (1.5x + 8000)) * P = (8000 / (1.5x + 8000)) * P
Step 4: Solve the equation to find the value of x.
(1.5x / (1.5x + 8000)) = (8000 / (1.5x + 8000))
Cross multiplying the equation, we get:
1.5x * (1.5x + 8000) = 8000 * (1.5x + 8000)
Simplifying the equation, we get:
2.25x^2 + 12000x = 12000x + 64000000
2.25x^2 = 64000000
x^2 = 64000000 / 2.25
x^2 = 28444444.44
x ≈ 5333.33
Step 5: Calculate the profit share of Manik.
Manik's investment is x = 5333.33.
The profit share of Manik is (1.25x / (1.25x + 8000)) * P.
Calculating the profit share of Manik, we get:
(1.25 * 5333.33 / (1.25 * 5333.33 + 8000)) * 100
= (6666.66 / 13999.99) * 100
≈ 47.62%
Therefore, the profit share of Manik is approximately 47.62%.
- Investment of Sumit is 25% more than that of Manik.
- Investment of Ravi is Rs 8000.
- After 8 months, Sumit's investment increases by 20% and Manik's investment increases by 25%.
- At the end of the year, the profit share of Sumit and Ravi becomes equal.
Let's solve the problem step by step:
Step 1: Determine the initial investments of Sumit, Manik, and Ravi.
Let Manik's investment be x.
Sumit's investment is 25% more than that of Manik, so Sumit's investment is 1.25x.
Ravi's investment is given as Rs 8000.
Step 2: Calculate the investments after 8 months.
After 8 months, Sumit's investment increases by 20%, so Sumit's new investment becomes 1.2 * 1.25x = 1.5x.
Manik's investment increases by 25%, so Manik's new investment becomes 1.25 * x = 1.25x.
Step 3: Calculate the profit shares at the end of the year.
Let the total profit at the end of the year be P.
The profit share of Sumit is (1.5x / (1.5x + 8000)) * P.
The profit share of Ravi is (8000 / (1.5x + 8000)) * P.
According to the given information, the profit share of Sumit and Ravi is equal.
(1.5x / (1.5x + 8000)) * P = (8000 / (1.5x + 8000)) * P
Step 4: Solve the equation to find the value of x.
(1.5x / (1.5x + 8000)) = (8000 / (1.5x + 8000))
Cross multiplying the equation, we get:
1.5x * (1.5x + 8000) = 8000 * (1.5x + 8000)
Simplifying the equation, we get:
2.25x^2 + 12000x = 12000x + 64000000
2.25x^2 = 64000000
x^2 = 64000000 / 2.25
x^2 = 28444444.44
x ≈ 5333.33
Step 5: Calculate the profit share of Manik.
Manik's investment is x = 5333.33.
The profit share of Manik is (1.25x / (1.25x + 8000)) * P.
Calculating the profit share of Manik, we get:
(1.25 * 5333.33 / (1.25 * 5333.33 + 8000)) * 100
= (6666.66 / 13999.99) * 100
≈ 47.62%
Therefore, the profit share of Manik is approximately 47.62%.
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Investment of Sumit is 25% more than that of Manik and that of Ravi is...
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Investment of Sumit is 25% more than that of Manik and that of Ravi is rupees 8000 in that business. after 8 months Sumit and Manik have increase their amount by 20%, 25% respectively and at the end of the year, profit share of Sumit and Ravi becomes equal then find the profit share percentage of Manik?
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Investment of Sumit is 25% more than that of Manik and that of Ravi is rupees 8000 in that business. after 8 months Sumit and Manik have increase their amount by 20%, 25% respectively and at the end of the year, profit share of Sumit and Ravi becomes equal then find the profit share percentage of Manik? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about Investment of Sumit is 25% more than that of Manik and that of Ravi is rupees 8000 in that business. after 8 months Sumit and Manik have increase their amount by 20%, 25% respectively and at the end of the year, profit share of Sumit and Ravi becomes equal then find the profit share percentage of Manik? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Investment of Sumit is 25% more than that of Manik and that of Ravi is rupees 8000 in that business. after 8 months Sumit and Manik have increase their amount by 20%, 25% respectively and at the end of the year, profit share of Sumit and Ravi becomes equal then find the profit share percentage of Manik?.
Investment of Sumit is 25% more than that of Manik and that of Ravi is rupees 8000 in that business. after 8 months Sumit and Manik have increase their amount by 20%, 25% respectively and at the end of the year, profit share of Sumit and Ravi becomes equal then find the profit share percentage of Manik? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about Investment of Sumit is 25% more than that of Manik and that of Ravi is rupees 8000 in that business. after 8 months Sumit and Manik have increase their amount by 20%, 25% respectively and at the end of the year, profit share of Sumit and Ravi becomes equal then find the profit share percentage of Manik? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Investment of Sumit is 25% more than that of Manik and that of Ravi is rupees 8000 in that business. after 8 months Sumit and Manik have increase their amount by 20%, 25% respectively and at the end of the year, profit share of Sumit and Ravi becomes equal then find the profit share percentage of Manik?.
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Investment of Sumit is 25% more than that of Manik and that of Ravi is rupees 8000 in that business. after 8 months Sumit and Manik have increase their amount by 20%, 25% respectively and at the end of the year, profit share of Sumit and Ravi becomes equal then find the profit share percentage of Manik?, a detailed solution for Investment of Sumit is 25% more than that of Manik and that of Ravi is rupees 8000 in that business. after 8 months Sumit and Manik have increase their amount by 20%, 25% respectively and at the end of the year, profit share of Sumit and Ravi becomes equal then find the profit share percentage of Manik? has been provided alongside types of Investment of Sumit is 25% more than that of Manik and that of Ravi is rupees 8000 in that business. after 8 months Sumit and Manik have increase their amount by 20%, 25% respectively and at the end of the year, profit share of Sumit and Ravi becomes equal then find the profit share percentage of Manik? theory, EduRev gives you an
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