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A sum was put at a certain rate of interest for four years. Had it been put at a rate of interest 4% higher than the previous rate of interest, it would have fetched Rs. 80 more. What is the sum ?
  • a)
    450
  • b)
    500
  • c)
    700
  • d)
    475
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A sum was put at a certain rate of interest for four years. Had it bee...
Answer –b)500 Solution: x*4*(r+4)/100 – (x*4*r)/100 = 80 4xr+16x – 4xr = 8000 X = 8000/16 =500
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A sum was put at a certain rate of interest for four years. Had it bee...
Given:
- The sum was put at a certain rate of interest for four years.
- If the sum had been put at a rate of interest 4% higher than the previous rate of interest, it would have fetched Rs. 80 more.

To find:
- The sum

Assumptions:
- The rate of interest is compounded annually.

Solution:
Let's assume the initial rate of interest is 'r'.

Step 1: Calculate the difference in interest:
The difference in interest for 4 years at the higher rate is Rs. 80. This means that the extra 4% interest for 4 years is Rs. 80.
So, we can write the equation as:
0.04 * P * 4 = 80
0.16P = 80
P = 80 / 0.16
P = Rs. 500

Therefore, the sum is Rs. 500.

Hence, option B (500) is the correct answer.
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A sum was put at a certain rate of interest for four years. Had it been put at a rate of interest 4% higher than the previous rate of interest, it would have fetched Rs. 80 more. What is the sum ?a)450b)500c)700d)475Correct answer is option 'B'. Can you explain this answer?
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