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

2 thoughts on “Calculate in what time Rs 600 will yield Rs 90 at 5% per annum​”

1. [tex] \underline \frak{✝Given ✝} \: [/tex]

   • Principal = 600

   • Rate = 5%

   • Simple interest = Rs.90

   [tex] \underline \frak{✝ \: \: \: To \: find \: \: ✝}[/tex]

   • We have to find Time

   [tex] \underline \frak{✝ \: \: Formula \: used \: \: ✝}[/tex]

   [tex] \boxed{ \red{ \frak{Simple \: interest = \frac{P \times R \times T}{100} }}}[/tex]

   [tex] \underline \frak{✝ \: solution \: ✝}[/tex]

   [tex] \sf\longrightarrow \: Simple \: interest = \frac{P \times R \times T}{100} \\ [/tex]

   [tex]\sf\longrightarrow90 = \frac{6 \cancel{00} \times 5 \times \: T }{1 \cancel{00}} \\ [/tex]

   [tex]\sf\longrightarrow90 = \frac{6 \times 5 \times \: T }{1 } \\ [/tex]

   [tex]\sf\longrightarrow90 = {6 \times 5 \times \: T } \\ [/tex]

   [tex]\sf\longrightarrow90 = { 30 \times \: T } \\ [/tex]

   [tex]\sf\longrightarrow \: T = \frac{ \cancel{90} {}^{3} }{ \cancel{30}} \\ [/tex]

   [tex] \qquad\blue{ \boxed{ \frak{ \longrightarrow \:Time = 3 }}}[/tex]

   Hence, time = 3 years

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2. Given :-

   [tex]\sf{Principal = 60} \: [/tex]

   [tex]\sf{Rate = 5\%} \: [/tex]

   [tex]\sf{Simple \: interest = Rs. 90} \: [/tex]

   To find :-

   [tex]\sf{Calculate \: the \: time} \: [/tex]

   Formula of simple interest :-

   [tex]\sf{Simple \: interest = \frac{p \times r \times t}{100}} \: [/tex]

   Solution :-

   [tex]\sf{ ⟹ SI = \: \frac{p \times r \times t}{100} }[/tex]

   [tex]\sf{ ⟹ 90 = \frac{60 \times 5 \times t}{100} }[/tex]

   [tex]\sf ⟹ \: 90 = \frac{6 \cancel{00} \times 5 \times \: T }{1 \cancel{00}} \\[/tex]

   [tex]\sf⟹ 90= { 30 \times \: T } \\[/tex]

   [tex]\sf\ ⟹ T = \frac{ \cancel{90} {}^{3} }{ \cancel{30}} \\ [/tex]

   [tex] \sf⟹ { T = 3} \: [/tex]

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

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