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A sum was invested at simple interest at a certain interest for 2 years. It would have fetched Rs. 60 more had it been invested at 2% higher rate. What was the sum?
  • a)
    Rs. 1500
  • b)
    Rs. 1300
  • c)
    Rs. 2500
  • d)
    Rs. 1000
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A sum was invested at simple interest at a certain interest for 2 year...
Based on the information we have, we can say that there would have been Rs. 30 extra interest per year. For 2% of the principal to be equal to Rs. 30, the principal amount should be Rs. 1500
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Most Upvoted Answer
A sum was invested at simple interest at a certain interest for 2 year...
Given information:
- The sum is invested for 2 years at a certain interest rate.
- Had it been invested at 2% higher rate, it would have fetched Rs. 60 more.

To find: The sum that was invested.

Solution:
Let's assume the initial interest rate as 'x'.
According to the question, the sum would have fetched Rs. 60 more if the interest rate was increased by 2%.
So, the new interest rate would be (x+2).

Now, let's calculate the difference in interest between the two rates.
For the first year, the difference in interest would be (x+2) - x = 2%
For the second year, the difference in interest would be (x+2) - x = 2%

Therefore, the total difference in interest for 2 years would be 2% + 2% = 4%.

According to the question, the difference in interest between the two rates is Rs. 60
So, 4% of the sum = Rs. 60

Therefore, the sum = (60 * 100) / 4 = Rs. 1500

Hence, the answer is option 'A' (Rs. 1500).
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A sum was invested at simple interest at a certain interest for 2 years. It would have fetched Rs. 60 more had it been invested at 2% higher rate. What was the sum?a)Rs. 1500b)Rs. 1300c)Rs. 2500d)Rs. 1000Correct answer is option 'A'. Can you explain this answer?
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