Question

In how many years will Rs 600 yield an interest of Rs 324 at 12% per annum simple interest?

Answer 1

$\large\underline{\underline{\maltese{\red{\pmb{\sf{\:Given :-}}}}}}$

• ➙ Sum of money = Rs. 600
• ➙ Interest = Rs. 324
• ➙ Rate = 12 %

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$\large\underline{\underline{\maltese{\gray{\pmb{\sf{\: To \: Find :-}}}}}}$

• ➙ Time = ?

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$\large\underline{\underline{\maltese{\purple{\pmb{\sf{\:Solution :-}}}}}}$

✴ Formula Used :

$\large\blue{\bigstar} \: \: {\underline{\boxed{\red{\sf{S.I = \dfrac{P \times R \times T}{100}}}}}}$

➢Here :

• ➻ S. I = Simple Interest = Rs.324
• ➻ P = Principle = Rs. 600
• ➻ R = Rate = 12 %
• ➻ T = Time = ?

$\qquad{━━━━━━━━━━━━━━━━━━━━━━━━━━}$

✴ Finding the Time :

${:\longmapsto{\sf{ S. I = \dfrac{P \times R \times T}{100}}}}$

${:\longmapsto{\sf{ 324 = \dfrac{600 \times 12 \times T}{100}}}}$

${:\longmapsto{\sf{ 324 = \dfrac{7200 \times T}{100}}}}$

${:\longmapsto{\sf{ 324 = \dfrac{\cancel{7200} \times T}{\cancel{100}}}}}$

${:\longmapsto{\sf{ 324 = 72 \times \: T }}}$

${:\longmapsto{\sf{ T = \cancel\dfrac{324}{72} }}}$

$\large{\red{:\longmapsto{\green{\underline{\overline{\boxed{\sf{T = 4.5 \: years}}}}}}}}$

$\qquad{━━━━━━━━━━━━━━━━━━━━━━━━━━}$

✴ Therefore :

❝ Time is 4.5 years. ❞

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✴ Additional Info :

✬ Formulas for Interest :

$\begin{gathered}\blue{\large \qquad \boxed{\boxed{\begin{array}{cc} \ ➳ \: \: \bf S. I = \dfrac{P \times R \times T}{100} \\ \\ \ \ ➳ \: \: \bf C. I = P\bigg(1 + \dfrac{R}{100} \bigg) ^T - P \end{array}}}}\end{gathered}$

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