Question : The simple interest on a sum of money is $\frac{8}{25}$ of the sum. If the number of years is numerically half of the rate percent per annum, then the rate percent per annum is:
Option 1: $5$%
Option 2: $8$%
Option 3: $6\frac{1}{4}$%
Option 4: $4$%

Question

Question : The simple interest on a sum of money is $\frac{8}{25}$ of the sum. If the number of years is numerically half of the rate percent per annum, then the rate percent per annum is:

Option 1: $5$%

Option 2: $8$%

Option 3: $6\frac{1}{4}$%

Option 4: $4$%

Team Careers360 · Accepted Answer

Correct Answer: $8$%

Solution : Let Principal = $P$
$ herefore$ Simple Interest = $\frac{8}{25}P$
Let Rate = R% per annum
$ herefore$ Time = $\frac{R}{2}$ years
Rate = $\frac{SI imes 100}{ ext{Principal} imes ext{Time}}$
⇒ R = $\frac{\frac{8}{25}P imes 100}{P imes \frac{R}{2}}$
⇒ R² = $\frac{8 imes 200}{25} = 64$
⇒ R = $\sqrt{64} = 8$% per annum
Hence, the correct answer is $8$%.

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Question : The simple interest on a sum of money is 825 of the sum. If the number of years is numerically half of the rate percent per annum, then the rate percent per annum is:Option 1: 5%Option 2: 8%Option 3: 614%Option 4: 4%

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Question : The simple interest on a sum of money is $\frac{8}{25}$ of the sum. If the number of years is numerically half of the rate percent per annum, then the rate percent per annum is:
Option 1: $5$ %
Option 2: $8$ %
Option 3: $6 \frac{1}{4}$ %
Option 4: $4$ %