Question

Calculate in what time Rs 600 will yield Rs 90 at 5% per annum​

Answer 1

$\underline \frak{✝Given ✝} \:$

• Principal = 600

• Rate = 5%

• Simple interest = Rs.90

$\underline \frak{✝ \: \: \: To \: find \: \: ✝}$

• We have to find Time

$\underline \frak{✝ \: \: Formula \: used \: \: ✝}$

$\boxed{ \red{ \frak{Simple \: interest = \frac{P \times R \times T}{100} }}}$

$\underline \frak{✝ \: solution \: ✝}$

$\sf\longrightarrow \: Simple \: interest = \frac{P \times R \times T}{100}$

$\sf\longrightarrow90 = \frac{6 \cancel{00} \times 5 \times \: T }{1 \cancel{00}}$

$\sf\longrightarrow90 = \frac{6 \times 5 \times \: T }{1 }$

$\sf\longrightarrow90 = {6 \times 5 \times \: T }$

$\sf\longrightarrow90 = { 30 \times \: T }$

$\sf\longrightarrow \: T = \frac{ \cancel{90} {}^{3} }{ \cancel{30}}$

$\qquad\blue{ \boxed{ \frak{ \longrightarrow \:Time = 3 }}}$

Hence, time = 3 years

Answer 2

Given :-

$\sf{Principal = 60} \:$

$\sf{Rate = 5\%} \:$

$\sf{Simple \: interest = Rs. 90} \:$

To find :-

$\sf{Calculate \: the \: time} \:$

Formula of simple interest :-

$\sf{Simple \: interest = \frac{p \times r \times t}{100}} \:$

Solution :-

$\sf{ ⟹ SI = \: \frac{p \times r \times t}{100} }$

$\sf{ ⟹ 90 = \frac{60 \times 5 \times t}{100} }$

$\sf ⟹ \: 90 = \frac{6 \cancel{00} \times 5 \times \: T }{1 \cancel{00}}$

$\sf⟹ 90= { 30 \times \: T }$

$\sf\ ⟹ T = \frac{ \cancel{90} {}^{3} }{ \cancel{30}}$

$\sf⟹ { T = 3} \:$

❥︎Time Rs 600 will yield Rs 90 at 5% in 3 yrs.