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Vinay started a business by investing Rs. 32000.After 2 months Vardhan joined him with some investments. At the end of the year the total profit was divided in the ratio 8:5.How much capital was invested by Vardhan ?
- a)Rs.30,000
- b)Rs.28,000
- c)Rs.19,000
- d)Rs.24,000
- e)None of these
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Vinay started a business by investing Rs. 32000.After 2 months Vardhan...
32000*12/x*10 = 8/5
19,20,000 = 80x
X = 1920000/80 = 24,000
Most Upvoted Answer
Vinay started a business by investing Rs. 32000.After 2 months Vardhan...
Answer – D.Rs.24,000 Explanation : 32000*12/x*10 = 8/5 19,20,000 = 80x X = 1920000/80 = 24,000
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Vinay started a business by investing Rs. 32000.After 2 months Vardhan...
To find out the capital invested by Vardhan, we can follow the given information and the concept of profit sharing in a partnership.
Let's break down the information given in the question:
- Vinay started the business with an initial investment of Rs. 32,000.
- After 2 months, Vardhan joined the business with some investment.
- At the end of the year, the total profit was divided in the ratio of 8:5.
Let's assume Vardhan's capital is 'x' rupees.
Now, let's calculate the profit distribution:
Since Vinay started the business and invested Rs. 32,000, he will be entitled to a share of the profit for the entire year.
Vardhan, on the other hand, joined after 2 months, so he will be entitled to a share of the profit for the remaining 10 months.
Let's calculate the profit distribution ratio:
Vinay's share = Vinay's capital * time = Rs. 32,000 * 12 = Rs. 3,84,000
Vardhan's share = Vardhan's capital * time = x * 10
According to the given ratio, Vinay's share : Vardhan's share = 8 : 5
Therefore, we can write the equation as follows:
3,84,000 : (x * 10) = 8 : 5
Now, cross-multiplying:
(3,84,000 * 5) = (8 * x * 10)
1,92,000 = 80x
Dividing both sides by 80:
x = 1,92,000 / 80
x = 2,400
Therefore, Vardhan invested Rs. 2,400 in the business.
So the correct answer is option "D" Rs. 24,000.
Let's break down the information given in the question:
- Vinay started the business with an initial investment of Rs. 32,000.
- After 2 months, Vardhan joined the business with some investment.
- At the end of the year, the total profit was divided in the ratio of 8:5.
Let's assume Vardhan's capital is 'x' rupees.
Now, let's calculate the profit distribution:
Since Vinay started the business and invested Rs. 32,000, he will be entitled to a share of the profit for the entire year.
Vardhan, on the other hand, joined after 2 months, so he will be entitled to a share of the profit for the remaining 10 months.
Let's calculate the profit distribution ratio:
Vinay's share = Vinay's capital * time = Rs. 32,000 * 12 = Rs. 3,84,000
Vardhan's share = Vardhan's capital * time = x * 10
According to the given ratio, Vinay's share : Vardhan's share = 8 : 5
Therefore, we can write the equation as follows:
3,84,000 : (x * 10) = 8 : 5
Now, cross-multiplying:
(3,84,000 * 5) = (8 * x * 10)
1,92,000 = 80x
Dividing both sides by 80:
x = 1,92,000 / 80
x = 2,400
Therefore, Vardhan invested Rs. 2,400 in the business.
So the correct answer is option "D" Rs. 24,000.
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Vinay started a business by investing Rs. 32000.After 2 months Vardhan joined him with some investments. At the end of the year the total profit was divided in the ratio 8:5.How much capital was invested by Vardhan ?a)Rs.30,000b)Rs.28,000c)Rs.19,000d)Rs.24,000e)None of theseCorrect answer is option 'D'. Can you explain this answer?
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Vinay started a business by investing Rs. 32000.After 2 months Vardhan joined him with some investments. At the end of the year the total profit was divided in the ratio 8:5.How much capital was invested by Vardhan ?a)Rs.30,000b)Rs.28,000c)Rs.19,000d)Rs.24,000e)None of theseCorrect 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 Vinay started a business by investing Rs. 32000.After 2 months Vardhan joined him with some investments. At the end of the year the total profit was divided in the ratio 8:5.How much capital was invested by Vardhan ?a)Rs.30,000b)Rs.28,000c)Rs.19,000d)Rs.24,000e)None of theseCorrect 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 Vinay started a business by investing Rs. 32000.After 2 months Vardhan joined him with some investments. At the end of the year the total profit was divided in the ratio 8:5.How much capital was invested by Vardhan ?a)Rs.30,000b)Rs.28,000c)Rs.19,000d)Rs.24,000e)None of theseCorrect answer is option 'D'. Can you explain this answer?.
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