Question

simple interest on a certain sum is 16/25 of the sum find the rate percent and time if both are numerically equal

Answer 1

principal = p
simple interest=16/25p
time = t,rate = r=t
$si = \frac{prt}{100} \\ \frac{16}{25} p = \frac{p {r}^{2} }{100} \\ {r}^{2} 64 \\ r = 8\%$



rate = time = 8% and 8years


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Answer 2

The rate percent and time are 8% and 8 years

Step-by-step explanation:

Let the sum be x

Simple interest =$\frac{16}{25}x$

Let the rate of interest be y

We are given that the rate percent and time if both are numerically equal

So, Time = y

So, $SI = \frac{ P \times T \times R}{100}\\\frac{16}{25}x = \frac{x \times y \times y}{100}\\\frac{16}{25}=\frac{y^2}{100}\\\sqrt{\frac{16}{25} \times 100}=y$

8=y

Hence the rate percent and time are 8% and 8 years

#Learn more:

Simple interest on a certain sum is 9/16 of the sum. find the rate percent and the time if both are numerically equal.

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