The simplest intrest on a certain sum is one fourth of the sum. If the

1.	The simplest intrest on a certain sum is one fourth of the sum. If the number of years and the rate of annual interest are numerically equal then the number of year is.
Answer» ANSWER: $let \: rate \: of \: annual \: interest \: and \: time \: be \: x$ $let \:the \: sum \: be \: y \\ s.i = \frac{y}{4}$ $\frac{y}{4} = \frac{y \times x \times x}{4 \times 100} \\ \frac{y}{4 \times y} = \frac{ {x}^{2} }{400} \\ \frac{1}{4} = \frac{ {x}^{2} }{400 } \\ {x}^{2} = \frac{400}{4} \\ x = \sqrt{100} = 10 \: years$

The simplest intrest on a certain sum is one fourth of the sum. If the number of years and the rate of annual interest are numerically equal then the number of year is.

Answer»

$let \: rate \: of \: annual \: interest \: and \: time \: be \: x$

$let \:the \: sum \: be \: y \\ s.i = \frac{y}{4}$

$\frac{y}{4} = \frac{y \times x \times x}{4 \times 100} \\ \frac{y}{4 \times y} = \frac{ {x}^{2} }{400} \\ \frac{1}{4} = \frac{ {x}^{2} }{400 } \\ {x}^{2} = \frac{400}{4} \\ x = \sqrt{100} = 10 \: years$

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The simplest intrest on a certain sum is one fourth of the sum. If the number of years and the rate of annual interest are numerically equal then the number of year is. ​

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The simplest intrest on a certain sum is one fourth of the sum. If the number of years and the rate of annual interest are numerically equal then the number of year is.