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The simple interest on a sum of money will be Rs. 300 after 5 years. In the next 5 years principal becomes 3 times, then the total interest at end of the 10th year?
- a)Rs. 1230
- b)Rs. 1250
- c)Rs. 1250
- d)Rs. 1200
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
The simple interest on a sum of money will be Rs. 300 after 5 years. ...
Here S.I. = '300, t = 5 years given
…….(i)Now, we calculates S.I. for the next 5 years
From equation (i)
∴ Total S.I. at the end of 10th year = '300 + '900 = '1200
Most Upvoted Answer
The simple interest on a sum of money will be Rs. 300 after 5 years. ...
Solution:
Given, Simple interest (S.I.) = Rs. 300, time (t) = 5 years, let the principal be P and rate of interest (R) be r.
We know that,
S.I. = (P x R x t) / 100
300 = (P x R x 5) / 100
PR = 6000
Now, after 5 years, principal becomes 3 times i.e. the new principal is 3P.
Let the rate of interest for next 5 years be r1.
Total amount after 10 years = Principal + Interest
= 3P + (3P x r1 x 5/100)
= 3P (1 + r1/20)
Total interest for 10 years = S.I. for 5 years + S.I. for next 5 years
= (P x R x 5/100) + (3P x r1 x 5/100)
= 5P (R/100 + 3r1/100)
We know that PR = 6000
So, R = 6000/P
Substituting the value of R in above equation, we get
Total interest for 10 years = 5P (6000/100P + 3r1/100)
= 30P/100 + 15r1/100
= 0.3P + 0.15r1P
= 0.45P
Given, S.I. for 5 years = Rs. 300
So, PR = 6000
P = 6000/R
P = 6000/(300/5)
P = Rs. 100
Therefore, P = Rs. 100 and Total interest for 10 years = 0.45P
= 0.45 x 100
= Rs. 45
Hence, the correct answer is option (D) Rs. 1200.
Given, Simple interest (S.I.) = Rs. 300, time (t) = 5 years, let the principal be P and rate of interest (R) be r.
We know that,
S.I. = (P x R x t) / 100
300 = (P x R x 5) / 100
PR = 6000
Now, after 5 years, principal becomes 3 times i.e. the new principal is 3P.
Let the rate of interest for next 5 years be r1.
Total amount after 10 years = Principal + Interest
= 3P + (3P x r1 x 5/100)
= 3P (1 + r1/20)
Total interest for 10 years = S.I. for 5 years + S.I. for next 5 years
= (P x R x 5/100) + (3P x r1 x 5/100)
= 5P (R/100 + 3r1/100)
We know that PR = 6000
So, R = 6000/P
Substituting the value of R in above equation, we get
Total interest for 10 years = 5P (6000/100P + 3r1/100)
= 30P/100 + 15r1/100
= 0.3P + 0.15r1P
= 0.45P
Given, S.I. for 5 years = Rs. 300
So, PR = 6000
P = 6000/R
P = 6000/(300/5)
P = Rs. 100
Therefore, P = Rs. 100 and Total interest for 10 years = 0.45P
= 0.45 x 100
= Rs. 45
Hence, the correct answer is option (D) Rs. 1200.
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The simple interest on a sum of money will be Rs. 300 after 5 years. In the next 5 years principal becomes 3 times, then the total interest at end of the 10th year?a)Rs. 1230b)Rs. 1250c)Rs. 1250d)Rs. 1200Correct answer is option 'D'. Can you explain this answer?
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The simple interest on a sum of money will be Rs. 300 after 5 years. In the next 5 years principal becomes 3 times, then the total interest at end of the 10th year?a)Rs. 1230b)Rs. 1250c)Rs. 1250d)Rs. 1200Correct answer is option 'D'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about The simple interest on a sum of money will be Rs. 300 after 5 years. In the next 5 years principal becomes 3 times, then the total interest at end of the 10th year?a)Rs. 1230b)Rs. 1250c)Rs. 1250d)Rs. 1200Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The simple interest on a sum of money will be Rs. 300 after 5 years. In the next 5 years principal becomes 3 times, then the total interest at end of the 10th year?a)Rs. 1230b)Rs. 1250c)Rs. 1250d)Rs. 1200Correct answer is option 'D'. Can you explain this answer?.
The simple interest on a sum of money will be Rs. 300 after 5 years. In the next 5 years principal becomes 3 times, then the total interest at end of the 10th year?a)Rs. 1230b)Rs. 1250c)Rs. 1250d)Rs. 1200Correct answer is option 'D'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about The simple interest on a sum of money will be Rs. 300 after 5 years. In the next 5 years principal becomes 3 times, then the total interest at end of the 10th year?a)Rs. 1230b)Rs. 1250c)Rs. 1250d)Rs. 1200Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The simple interest on a sum of money will be Rs. 300 after 5 years. In the next 5 years principal becomes 3 times, then the total interest at end of the 10th year?a)Rs. 1230b)Rs. 1250c)Rs. 1250d)Rs. 1200Correct answer is option 'D'. Can you explain this answer?.
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