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Manoj received Rs. 6000 as his share out of the total profit of Rs. 9000 which he and Ramesh earned at the end of one year. If Manoj invested Rs.20000 for 6 months, whereas Ramesh invested his amount for the whole year, what was the amount invested by Ramesh
- a)Rs. 2000
- b)Rs. 3000
- c)Rs. 4000
- d)Rs. 5000
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Manoj received Rs. 6000 as his share out of the total profit of Rs. 90...
Suppose Ramesh invested Rs. x. Then,
Manoj : Ramesh = 20000 * 6 : x × 12.
Manoj : Ramesh = 20000 * 6 : x × 12.
Most Upvoted Answer
Manoj received Rs. 6000 as his share out of the total profit of Rs. 90...
Solution:
Let's assume that Ramesh invested Rs. x for the whole year.
Given:
Manoj's share = Rs. 6000
Total profit = Rs. 9000
We know that the profit is divided between Manoj and Ramesh in the ratio of their investments and the time period for which they invested.
To find the ratio of their investments, we need to calculate the time periods for which they invested.
Manoj invested Rs. 20000 for 6 months, which is half a year. So, his time period is 1/2.
Ramesh invested Rs. x for the whole year. So, his time period is 1.
Now, we can calculate the ratio of their investments:
Ratio of investments = (Manoj's investment * Manoj's time period) : (Ramesh's investment * Ramesh's time period)
Ratio of investments = (20000 * 1/2) : (x * 1)
Ratio of investments = 10000 : x
According to the given information, Manoj received Rs. 6000 as his share of the profit. This is equivalent to his share in the total profit.
So, we can write the equation as:
Manoj's share : Total profit = Manoj's investment * Manoj's time period : Ratio of investments
6000 : 9000 = 20000 * 1/2 : 10000 : x
Simplifying this equation, we get:
2/3 = 1/2 : x
To find the value of x, we can cross-multiply:
2x = 3 * 10000
2x = 30000
Dividing both sides by 2, we get:
x = 15000
Therefore, the amount invested by Ramesh is Rs. 15000.
But none of the given options match the calculated amount. Therefore, the options given in the question are incorrect.
Let's assume that Ramesh invested Rs. x for the whole year.
Given:
Manoj's share = Rs. 6000
Total profit = Rs. 9000
We know that the profit is divided between Manoj and Ramesh in the ratio of their investments and the time period for which they invested.
To find the ratio of their investments, we need to calculate the time periods for which they invested.
Manoj invested Rs. 20000 for 6 months, which is half a year. So, his time period is 1/2.
Ramesh invested Rs. x for the whole year. So, his time period is 1.
Now, we can calculate the ratio of their investments:
Ratio of investments = (Manoj's investment * Manoj's time period) : (Ramesh's investment * Ramesh's time period)
Ratio of investments = (20000 * 1/2) : (x * 1)
Ratio of investments = 10000 : x
According to the given information, Manoj received Rs. 6000 as his share of the profit. This is equivalent to his share in the total profit.
So, we can write the equation as:
Manoj's share : Total profit = Manoj's investment * Manoj's time period : Ratio of investments
6000 : 9000 = 20000 * 1/2 : 10000 : x
Simplifying this equation, we get:
2/3 = 1/2 : x
To find the value of x, we can cross-multiply:
2x = 3 * 10000
2x = 30000
Dividing both sides by 2, we get:
x = 15000
Therefore, the amount invested by Ramesh is Rs. 15000.
But none of the given options match the calculated amount. Therefore, the options given in the question are incorrect.
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Manoj received Rs. 6000 as his share out of the total profit of Rs. 9000 which he and Ramesh earned at the end of one year. If Manoj invested Rs.20000 for 6 months, whereas Ramesh invested his amount for the whole year, what was the amount invested by Ramesha)Rs. 2000b)Rs. 3000c)Rs. 4000d)Rs. 5000Correct answer is option 'D'. Can you explain this answer?
Question Description
Manoj received Rs. 6000 as his share out of the total profit of Rs. 9000 which he and Ramesh earned at the end of one year. If Manoj invested Rs.20000 for 6 months, whereas Ramesh invested his amount for the whole year, what was the amount invested by Ramesha)Rs. 2000b)Rs. 3000c)Rs. 4000d)Rs. 5000Correct answer is option 'D'. 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 Manoj received Rs. 6000 as his share out of the total profit of Rs. 9000 which he and Ramesh earned at the end of one year. If Manoj invested Rs.20000 for 6 months, whereas Ramesh invested his amount for the whole year, what was the amount invested by Ramesha)Rs. 2000b)Rs. 3000c)Rs. 4000d)Rs. 5000Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Manoj received Rs. 6000 as his share out of the total profit of Rs. 9000 which he and Ramesh earned at the end of one year. If Manoj invested Rs.20000 for 6 months, whereas Ramesh invested his amount for the whole year, what was the amount invested by Ramesha)Rs. 2000b)Rs. 3000c)Rs. 4000d)Rs. 5000Correct answer is option 'D'. Can you explain this answer?.
Manoj received Rs. 6000 as his share out of the total profit of Rs. 9000 which he and Ramesh earned at the end of one year. If Manoj invested Rs.20000 for 6 months, whereas Ramesh invested his amount for the whole year, what was the amount invested by Ramesha)Rs. 2000b)Rs. 3000c)Rs. 4000d)Rs. 5000Correct answer is option 'D'. 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 Manoj received Rs. 6000 as his share out of the total profit of Rs. 9000 which he and Ramesh earned at the end of one year. If Manoj invested Rs.20000 for 6 months, whereas Ramesh invested his amount for the whole year, what was the amount invested by Ramesha)Rs. 2000b)Rs. 3000c)Rs. 4000d)Rs. 5000Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Manoj received Rs. 6000 as his share out of the total profit of Rs. 9000 which he and Ramesh earned at the end of one year. If Manoj invested Rs.20000 for 6 months, whereas Ramesh invested his amount for the whole year, what was the amount invested by Ramesha)Rs. 2000b)Rs. 3000c)Rs. 4000d)Rs. 5000Correct answer is option 'D'. Can you explain this answer?.
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