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 Mayank invested a certain sum of money in a simple interest bond, that value grew to Rs. 300 at the end of 3 year and to Rs. 400 at the end of another 5 year.Then what was the rate of interest in which he invested his sum?
  • a)
    12%
  • b)
    12.5%
  • c)
    6.67%
  • d)
    8.33%
  • e)
    None of the Above
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Mayank invested a certain sum of money in a simple interest bond, that...
D. 8.33%
Explanation: P*R*3/100 + P = 300 –(i) P*R*8/100 + P = 400 –(ii) From (i) and (ii) P*R*5/100 = 100
P*R = 2000—(iii) Sub (iii) in (i) 6000/100 + P = 300
P = 240
240*R = 2000 => R = 8.33%
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Most Upvoted Answer
Mayank invested a certain sum of money in a simple interest bond, that...
D. 8.33%
Explanation: P*R*3/100 + P = 300 –(i) P*R*8/100 + P = 400 –(ii) From (i) and (ii) P*R*5/100 = 100
P*R = 2000—(iii) Sub (iii) in (i) 6000/100 + P = 300
P = 240
240*R = 2000 => R = 8.33%
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Community Answer
Mayank invested a certain sum of money in a simple interest bond, that...
Given Data:

Amount after 3 years = Rs. 300
Amount after 8 years = Rs. 400

To find:

The rate of interest in which Mayank invested his sum.

Solution:

Let the principal amount be P and the rate of interest be r.

Using the formula for simple interest, we have:

Amount after 3 years = P + P*r*3/100 = 300
Amount after 8 years = P + P*r*8/100 = 400

Subtracting the first equation from the second, we get:

P*r*5/100 = 100

Simplifying, we get:

P*r = 2000

Dividing the first equation by 3, we get:

P + P*r*1/100 = 100

Substituting the value of P*r from the second equation, we get:

P + 2000*1/100 = 100

Simplifying, we get:

P = 8000

Substituting the value of P in the second equation, we get:

8000 + 8000*r*8/100 = 400

Simplifying, we get:

r = 8.33%

Therefore, the rate of interest in which Mayank invested his sum is 8.33%.

Answer: Option D.
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Mayank invested a certain sum of money in a simple interest bond, that value grew to Rs. 300 at the end of 3 year and to Rs. 400 at the end of another 5 year.Then what was the rate of interest in which he invested his sum?a)12%b)12.5%c)6.67%d)8.33%e)None of the AboveCorrect answer is option 'D'. Can you explain this answer?
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