Question

simple interest on a certain sum is 16/25 of the sum.find the rate percent and time if both are numerically equal [hint :(T×R) P=x S.I = 16\25 x]​

Answer 1

SoluTion :-

We know that,

$\boxed {\rm {Simple \ Interest \ (SI) = \frac{p \times r \times t}{100}}}$

Also, it is given that r = t

Thus,

$\sf {\dfrac{16}{25} \times p = \dfrac{p \times r \times r}{100}}\\\\\\\\\sf {\dfrac{16}{25}p=\dfrac{p \times r^{2}}{100}}\\\\\\\\\sf {r^{2}=\dfrac{16 \times 100}{25}}\\\\\\\\\sf {r=\sqrt{\dfrac{1600}{25}}}\\\\\\\\\sf {r=\dfrac{40}{5}}\\\\\\\\\sf {r=8 \%}$

Thus, answer = 8%