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In what time will the simple interest on Rs. 1750 at 9% per annum be the same as that on Rs. 2500 at 10.5% per annum in 4 years?
  • a)
    6 years and 8 months
  • b)
    7 years and 3 months
  • c)
    6 years
  • d)
    7 years and 6 months
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
In what time will the simple interest on Rs. 1750 at 9% per annum be t...
42% on 2500 = Rs. 1050. The required answer would be: 1050/157.5 = 6 years and 8 months.
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Most Upvoted Answer
In what time will the simple interest on Rs. 1750 at 9% per annum be t...
Given:
Principal amount (P1) = Rs. 1750
Rate of interest (R1) = 9%
Principal amount (P2) = Rs. 2500
Rate of interest (R2) = 10.5%
Time (t) = 4 years

To find:
In how much time the simple interest on P1 will be equal to the simple interest on P2

Solution:
Let SI1 and SI2 be the simple interest on P1 and P2 respectively after 4 years.

SI1 = (P1 * R1 * t) / 100 = (1750 * 9 * 4) / 100 = Rs. 630
SI2 = (P2 * R2 * t) / 100 = (2500 * 10.5 * 4) / 100 = Rs. 1050

Let x be the time in years after which the simple interest on P1 will be equal to the simple interest on P2.

Then, SI1 = SI2
(P1 * R1 * x) / 100 = (P2 * R2 * x) / 100
1750 * 9 * x = 2500 * 10.5 * x
x = (2500 * 10.5) / (1750 * 9) = 2

Therefore, the simple interest on Rs. 1750 at 9% per annum will be equal to the simple interest on Rs. 2500 at 10.5% per annum after 2 years.

To find the total time, we add the given time (4 years) to the time taken for the interests to be equal.

Total time = 4 + 2 = 6 years

Therefore, the answer is option A) 6 years and 8 months.
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In what time will the simple interest on Rs. 1750 at 9% per annum be the same as that on Rs. 2500 at 10.5% per annum in 4 years?a)6 years and 8 monthsb)7 years and 3 monthsc)6 yearsd)7 years and 6 monthsCorrect answer is option 'A'. Can you explain this answer?
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