Question

You have deposited Rs. 2400 in your account and the interest rate is 5%. After how many years would you earn 10 % of your deposited amount as an simple interest?​

Answer 1

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

$\green{\tt{\therefore{Time=2\:years}}}$

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

$\green{\underline \bold{Given :}} \\ \tt: \implies Principal(p) = 2400 \: rupees \\ \\ \tt: \implies Rate\% (r)= 5\% \\ \\ \tt: \implies Simple \: Interest(S.I) = 10\% \: of \: 2400 \\ \\ \red{\underline \bold{To \: Find:}} \\ \tt: \implies Time(t) = ?$

• According to given question :

$\bold{As \: we \: know \: that} \\ \tt: \implies S.I= 10\% \: of \: 2400 \\ \\ \tt: \implies S.I= \frac{10}{100} \times 2400 \\ \\ \green{ \tt: \implies S.I =240 \: rupees} \\ \\ \bold{As \: we \: know \: that} \\ \tt: \implies S.I = \frac{p \times r \times t}{100} \\ \\ \tt: \implies 240= \frac{2400 \times 5 \times t}{100} \\ \\ \tt: \implies 240 \times 100 = 2400 \times 5 \times t \\ \\ \tt: \implies \frac{24000}{2400 \times 5} = t \\ \\ \tt: \implies t= \frac{10}{5} \\ \\ \green{\tt: \implies t=2 \: years}$

Answer 2

$</p><p>\tt{\huge{\pink{Hello!!! }}}$

$</p><p>\tt{\red{Given\: - }}$

• Principal = Rs. 2400

• Rate = 5%

______________

$</p><p>\tt{\pink{Finding \: S.I . \: - }}$

For the principal equal to P, Rate = R and time = T,

$</p><p>\green{\boxed{S.I. \: = \: \dfrac{PTR}{100}}}$

$</p><p>\tt{\orange{Step-By-Step-Explaination \: - }}$

$\tt{ \blue{10\% \: of \: principal \: = \: 240 \: }}$

$\tt{ \purple{let \: the \: time \: rqd \: to \: obtain \: be \: t \: \: years. }}$

$\tt{ \orange{ \therefore{ \dfrac{2400 \times t \times 5}{100} = 240 \: }}}$

$\tt{ \pink{ \implies{ \: t \: = \: 2 \: years.}}}$