Question

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

Answer 1

7$\frac{1}{2}$% is the rate percent and the time period is $7\frac{1}{2}$ years.

Step-by-step explanation:

Let the sum of money be x

Simple interest = $\frac{9}{16}x$

Let the rate percent = R%

Time = R years

As we know,

Simple Interest = P * R * T/100

∵ (x * R * R)/100 = $\frac{9}{16}x$

$\frac{R^{2} }{100}$ = $\frac{9}{16}$

$R^{2}$ = 900/16

R = 30/4

R = 7$\frac{1}{2}$

Thus, the 7$\frac{1}{2}$ % is the rate percent and 7$\frac{1}{2}$years is the time period for which the interest is calculated.

Learn more: find the rate percent

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