Question

If the simple interest on a certain sum of money for 3 years is three-tenth of the sum , then find the rate of interest per annum

Answer 1

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\tt{\therefore{Rate\%=10\%}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green{\underline \bold{Given:}} \\ \tt: \implies Time(t) = 3 \: years \\ \\ \tt: \implies S.I = three \: tenth \: of \: the \:principal\\ \\ \red{\underline \bold{To \: Find:}} \\ \tt: \implies Rate\% = ?$

• According to given question :

$\tt \circ \: Let \: Principal \: be \: x \\ \\ \tt \circ \: S.I= \frac{3}{10} \: of \: x \\ \\ \bold{As \: we \: know \: that} \\ \tt: \implies S.I= \frac{p \times r \times t}{100} \\ \\ \tt: \implies \frac{3}{10} x = \frac{x \times r \times 3}{100} \\ \\ \tt: \implies \frac{3x}{10x} = \frac{3r}{100} \\ \\ \tt: \implies \frac{3}{10} \times \frac{100}{3} = r \\ \\ \green{\tt: \implies r = 10\%} \\ \\ \green{\tt \therefore Rate\% \:\: is \: \:10\%}$

Answer 2

$\tt{\green{\huge{Solution_{BQ} \::- }}}$

QUESTION :

If the simple interest on a certain sum of money for 3 years is three-tenth of the sum , then find the rate of interest per annum.

SOLUTION :

Suppose :

Sum = P

Rate = R %

Time = 3 years.

Hence :

3PR / 100 = 3/ 10 P.

Cancelling P,

R / 100 = 1/ 10

=> R = 10 %

Hence the answer is that the rate of interest per annum is 10%.