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The simple interest on a sum of money will be rupees 400 after 5 years. In the next 5 years the principal is doubled, what will be the total interest at the end of the 10 year
- a)800
- b)1000
- c)1200
- d)1600
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
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The simple interest on a sum of money will be rupees 400 after 5 years...
Answer – c) 1200 Explanation : 400 = p*(r/100)*5, pr = 8000 SI = 2p*(r/100)*5 = pr/10 = 8000/10 = 800 Total interest = 400 + 800 = 1200
Most Upvoted Answer
The simple interest on a sum of money will be rupees 400 after 5 years...
Given:
Simple interest (S.I) = Rs. 400
Time (T) = 5 years
To find:
Total interest at the end of 10 years
Solution:
Let the principal be P.
Using the formula for simple interest:
S.I = (P * R * T) / 100
Where R is the rate of interest.
Substituting the given values:
400 = (P * R * 5) / 100
Simplifying:
P * R = 8000
Now, in the next 5 years, the principal is doubled to 2P.
Let the rate of interest in the second 5 years be R2.
Using the formula for simple interest again:
S.I = (2P * R2 * 5) / 100
Simplifying:
S.I = P * R2 * 5
Total interest for 10 years:
Total S.I = S.I for first 5 years + S.I for next 5 years
Total S.I = 400 + P * R2 * 5
Substituting P * R = 8000:
Total S.I = 400 + (8000 * R2 * 5) / R
Simplifying:
Total S.I = 400 + 4000R2
To find the value of R2, we can use the fact that the principal is doubled in the second 5 years.
2P = P + S.I for next 5 years
2P = P + P * R2 * 5
Simplifying:
R2 = 0.2 or 20%
Substituting R2 = 20% in the formula for total S.I:
Total S.I = 400 + 4000 * 0.2
Total S.I = Rs. 1200
Therefore, the correct option is (c) 1200
Simple interest (S.I) = Rs. 400
Time (T) = 5 years
To find:
Total interest at the end of 10 years
Solution:
Let the principal be P.
Using the formula for simple interest:
S.I = (P * R * T) / 100
Where R is the rate of interest.
Substituting the given values:
400 = (P * R * 5) / 100
Simplifying:
P * R = 8000
Now, in the next 5 years, the principal is doubled to 2P.
Let the rate of interest in the second 5 years be R2.
Using the formula for simple interest again:
S.I = (2P * R2 * 5) / 100
Simplifying:
S.I = P * R2 * 5
Total interest for 10 years:
Total S.I = S.I for first 5 years + S.I for next 5 years
Total S.I = 400 + P * R2 * 5
Substituting P * R = 8000:
Total S.I = 400 + (8000 * R2 * 5) / R
Simplifying:
Total S.I = 400 + 4000R2
To find the value of R2, we can use the fact that the principal is doubled in the second 5 years.
2P = P + S.I for next 5 years
2P = P + P * R2 * 5
Simplifying:
R2 = 0.2 or 20%
Substituting R2 = 20% in the formula for total S.I:
Total S.I = 400 + 4000 * 0.2
Total S.I = Rs. 1200
Therefore, the correct option is (c) 1200
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The simple interest on a sum of money will be rupees 400 after 5 years. In the next 5 years the principal is doubled, what will be the total interest at the end of the 10 yeara)800b)1000c)1200d)1600e)None of theseCorrect answer is option 'C'. Can you explain this answer?
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