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Ram and Shyam invested their money in the ratio of 4 : 5 in a company. After 6 months Shyam increased his investment upto 2 times than initial investment and Ram withdrew total amount after 8 month. If at the end of year total profit was found Rs. 24400, find the share of Shyam in the profit.
- a)Rs.19000
- b)Rs.18650
- c)Rs.18000
- d)Rs.16550
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
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Ram and Shyam invested their money in the ratio of 4 : 5 in a company....
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Ram and Shyam invested their money in the ratio of 4 : 5 in a company....
Given:
- Ram and Shyam invested their money in the ratio of 4 : 5 in a company.
- After 6 months, Shyam increased his investment up to 2 times than initial investment.
- Ram withdrew the total amount after 8 months.
- Total profit at the end of the year was Rs. 24400.
To find:
- Shyam's share in the profit.
Solution:
Let the initial investment of Ram and Shyam be 4x and 5x respectively.
Shyam increased his investment after 6 months, so his new investment is 2 * 5x = 10x.
Ram withdrew his total investment after 8 months, so his investment remained for (12-8) = 4 months.
Total profit is divided into three parts:
1. Profit for Ram for 8 months.
2. Profit for Shyam for 6 months on his initial investment.
3. Profit for Shyam for 6 months on his increased investment.
Profit for Ram:
Profit is directly proportional to the time and the amount invested.
So, profit for Ram = (4x * 8/12) * (24400/9) = 10880x/27
Profit for Shyam on his initial investment:
Profit for Shyam = (5x * 6/12) * (24400/9) = 6800x/27
Profit for Shyam on his increased investment:
Profit for Shyam = (10x-5x) * 6/12 * 24400/9 = 13600x/27
Total profit for Shyam = Profit on initial investment + Profit on increased investment
= 6800x/27 + 13600x/27 = 20400x/27
Total profit = Profit for Ram + Total profit for Shyam
24400 = 10880x/27 + 20400x/27
x = 27 * 24400 / 31320 = 21
Shyam's share in the profit = Total profit for Shyam = 20400x/27 = 18000
Therefore, option (c) Rs. 18000 is the correct answer.
- Ram and Shyam invested their money in the ratio of 4 : 5 in a company.
- After 6 months, Shyam increased his investment up to 2 times than initial investment.
- Ram withdrew the total amount after 8 months.
- Total profit at the end of the year was Rs. 24400.
To find:
- Shyam's share in the profit.
Solution:
Let the initial investment of Ram and Shyam be 4x and 5x respectively.
Shyam increased his investment after 6 months, so his new investment is 2 * 5x = 10x.
Ram withdrew his total investment after 8 months, so his investment remained for (12-8) = 4 months.
Total profit is divided into three parts:
1. Profit for Ram for 8 months.
2. Profit for Shyam for 6 months on his initial investment.
3. Profit for Shyam for 6 months on his increased investment.
Profit for Ram:
Profit is directly proportional to the time and the amount invested.
So, profit for Ram = (4x * 8/12) * (24400/9) = 10880x/27
Profit for Shyam on his initial investment:
Profit for Shyam = (5x * 6/12) * (24400/9) = 6800x/27
Profit for Shyam on his increased investment:
Profit for Shyam = (10x-5x) * 6/12 * 24400/9 = 13600x/27
Total profit for Shyam = Profit on initial investment + Profit on increased investment
= 6800x/27 + 13600x/27 = 20400x/27
Total profit = Profit for Ram + Total profit for Shyam
24400 = 10880x/27 + 20400x/27
x = 27 * 24400 / 31320 = 21
Shyam's share in the profit = Total profit for Shyam = 20400x/27 = 18000
Therefore, option (c) Rs. 18000 is the correct answer.
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Ram and Shyam invested their money in the ratio of 4 : 5 in a company. After 6 months Shyam increased his investment upto 2 times than initial investment and Ram withdrew total amount after 8 month. If at the end of year total profit was found Rs. 24400, find the share of Shyam in the profit.a)Rs.19000b)Rs.18650c)Rs.18000d)Rs.16550e)None of theseCorrect answer is option 'C'. Can you explain this answer?
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Ram and Shyam invested their money in the ratio of 4 : 5 in a company. After 6 months Shyam increased his investment upto 2 times than initial investment and Ram withdrew total amount after 8 month. If at the end of year total profit was found Rs. 24400, find the share of Shyam in the profit.a)Rs.19000b)Rs.18650c)Rs.18000d)Rs.16550e)None of theseCorrect answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Ram and Shyam invested their money in the ratio of 4 : 5 in a company. After 6 months Shyam increased his investment upto 2 times than initial investment and Ram withdrew total amount after 8 month. If at the end of year total profit was found Rs. 24400, find the share of Shyam in the profit.a)Rs.19000b)Rs.18650c)Rs.18000d)Rs.16550e)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ram and Shyam invested their money in the ratio of 4 : 5 in a company. After 6 months Shyam increased his investment upto 2 times than initial investment and Ram withdrew total amount after 8 month. If at the end of year total profit was found Rs. 24400, find the share of Shyam in the profit.a)Rs.19000b)Rs.18650c)Rs.18000d)Rs.16550e)None of theseCorrect answer is option 'C'. Can you explain this answer?.
Ram and Shyam invested their money in the ratio of 4 : 5 in a company. After 6 months Shyam increased his investment upto 2 times than initial investment and Ram withdrew total amount after 8 month. If at the end of year total profit was found Rs. 24400, find the share of Shyam in the profit.a)Rs.19000b)Rs.18650c)Rs.18000d)Rs.16550e)None of theseCorrect answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Ram and Shyam invested their money in the ratio of 4 : 5 in a company. After 6 months Shyam increased his investment upto 2 times than initial investment and Ram withdrew total amount after 8 month. If at the end of year total profit was found Rs. 24400, find the share of Shyam in the profit.a)Rs.19000b)Rs.18650c)Rs.18000d)Rs.16550e)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ram and Shyam invested their money in the ratio of 4 : 5 in a company. After 6 months Shyam increased his investment upto 2 times than initial investment and Ram withdrew total amount after 8 month. If at the end of year total profit was found Rs. 24400, find the share of Shyam in the profit.a)Rs.19000b)Rs.18650c)Rs.18000d)Rs.16550e)None of theseCorrect answer is option 'C'. Can you explain this answer?.
Solutions for Ram and Shyam invested their money in the ratio of 4 : 5 in a company. After 6 months Shyam increased his investment upto 2 times than initial investment and Ram withdrew total amount after 8 month. If at the end of year total profit was found Rs. 24400, find the share of Shyam in the profit.a)Rs.19000b)Rs.18650c)Rs.18000d)Rs.16550e)None of theseCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
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