Question

At what rate of interest per annum will simple interest be half of the principal in
5 years?​

Answer 1

Answer:

let the principal be p A.TQ

Step-by-step explanation:

let the simple interest be S .I =p/2. let rate of interest be R. here time l=5year. we know S.I (P×R×T)/100. p/2=(p.r.s)/100. 1/2SR/100. 100/2=SR. =R=10

Answer 2

${\huge{\star{\underbrace{\tt{\red{Answer}}}}}}{\huge{\star}}$

$\Large{\purple{\tt{\underline{\underline{Given \ :-}}}}}$

${\sf{➣ \ Simple \ interest \ is \ half \ of \ the \ principal}}$

${\sf{➣ \ Time \ = \ 5 \ years}}$

$\Large{\green{\tt{\underline{\underline{To \ find \ :-}}}}}$

${\sf{↣ \ Rate \ of \ interest}}$

$\Large{\orange{\tt{\underline{\underline{Solution \ :-}}}}}$

${\tt{✿ \ Let \ the \ principle \ be \ ₹100 \ then \ Si}} \\ {\sf{will \ be \ ₹50}}$

${\boxed{\pink{\sf \ ♪ \ Rate = \frac{Si \: \times \: 100}{p \:\times \: t} }}}$

here,

• Si is simple interest
• p is principal
• t is time

${\sf{ \implies \: Rate \: = \frac{50 \times 100}{100 \times 5} }}$

${\sf{\implies \: Rate \: = \frac{ \cancel{50} \: ^{10} \times \cancel{100} \: ^{1} }{ \cancel{100} \times 5} }}$

${\sf{\implies \ Rate \ = \ 10 \times 1}}$

${\sf{\implies \ Rate \ = \ 10\%}}$