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A sum of rupees is divided between three people A, B and C in such a way that after 2 years, 3 years and 4 years respectively the amount they get is equal.The rate of interest is 10 percent. Find the ratio in which the amount is divided.
- a)91:43:78
- b)91:84:78
- c)90:43:78
- d)91:47:89
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A sum of rupees is divided between three people A, B and C in such a w...
Answer – b) 91:84:78 Explanation : Let they get A, B and C rupees initially.
Amount after 2, 3 and 4 years respectively = 6A/5, 13B/10, 7C/5 Ratio=> 6A/5 : 13B/10 : 7C/5 = x (x is any constant) A = 5x/6 , B = 10x/13 and C = 5x/7 So ratio – 91:78:84
Amount after 2, 3 and 4 years respectively = 6A/5, 13B/10, 7C/5 Ratio=> 6A/5 : 13B/10 : 7C/5 = x (x is any constant) A = 5x/6 , B = 10x/13 and C = 5x/7 So ratio – 91:78:84
Most Upvoted Answer
A sum of rupees is divided between three people A, B and C in such a w...
To solve this problem, we can use the concept of compound interest.
Let's assume that the sum of money is x rupees.
After 2 years, the amount A receives is x(1 + 0.1)^2 = 1.21x rupees.
After 3 years, the amount B receives is x(1 + 0.1)^3 = 1.331x rupees.
After 4 years, the amount C receives is x(1 + 0.1)^4 = 1.4641x rupees.
According to the given condition, we have:
1.21x = 1.331x
1.331x = 1.4641x
Now, we can solve these equations to find the value of x and then calculate the ratios.
1.21x = 1.331x
0.111x = 0
x = 0
This means that the sum of money is 0 rupees, which is not possible. Hence, there is no solution to the given problem.
Therefore, the correct answer is e) None of these.
Apologies for the inconvenience caused.
Let's assume that the sum of money is x rupees.
After 2 years, the amount A receives is x(1 + 0.1)^2 = 1.21x rupees.
After 3 years, the amount B receives is x(1 + 0.1)^3 = 1.331x rupees.
After 4 years, the amount C receives is x(1 + 0.1)^4 = 1.4641x rupees.
According to the given condition, we have:
1.21x = 1.331x
1.331x = 1.4641x
Now, we can solve these equations to find the value of x and then calculate the ratios.
1.21x = 1.331x
0.111x = 0
x = 0
This means that the sum of money is 0 rupees, which is not possible. Hence, there is no solution to the given problem.
Therefore, the correct answer is e) None of these.
Apologies for the inconvenience caused.
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A sum of rupees is divided between three people A, B and C in such a way that after 2 years, 3 years and 4 years respectively the amount they get is equal.The rate of interest is 10 percent. Find the ratio in which the amount is divided.a)91:43:78b)91:84:78c)90:43:78d)91:47:89e)None of theseCorrect answer is option 'B'. Can you explain this answer?
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