Question

1. Mr. Varun deposits Rs. 5000 in a bank that provides 3% p.a simple interest rate. If he receives Rs. 450 as the total interest after 't no. of years then the value of 't is

Answer 1

$\large{\underline{\underline{\red{\pmb{\textsf{\: Given :-}}}}}}$

• ➳ Amount Deposited = Rs. 5000
• ➳ Rate = 3 %
• ➳ Simple interest = 450

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$\large{\underline{\underline{\blue{\pmb{\textsf{\: To \: Find :-}}}}}}$

• ➳ Time = ?

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$\large{\underline{\underline{\green{\pmb{\textsf{\: Solution :-}}}}}}$

❒ Formula Used :

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

$\qquad{▬▬▬▬▬▬▬▬▬▬▬▬▬▬}$

❒ Calculating the Time :

${\implies{\sf{ T = \dfrac{S.I \times 100}{P \times R}}}} \\ \\ {\implies{\sf{ T = \dfrac{450 \times 100}{5000 \times 3}}}} \\ \\ {\implies{\sf{ T = \cancel\dfrac{45000}{15000}}}} \\ \\ {\qquad{\orange{\dashrightarrow{\blue{\underbrace{\underline{\rm{ Time \: = {\pink{\rm{3 \: years }}}}}}}}}}}$

$\qquad{▬▬▬▬▬▬▬▬▬▬▬▬▬▬}$

Therefore :

❝ The time is 3 years . ❞

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✴ Know More :

✏ Formula for Simple interest :

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

✏ Formula for Compound interest :

${\longmapsto{\color{maroon}{\sf{ C.I = P \bigg\lgroup 1 + \dfrac{R}{100}\bigg\rgroup^T - P }}}}$

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Answer 2

$\large{\blue{\maltese \: \: {\pink{\underbrace{\underline{\red{\pmb{\sf{ Question :-}}}}}}}}}$

Mr. Varun deposits Rs. 5000 in a bank that provides 3% p.a simple interest rate. If he receives Rs. 450 as the total interest after 't no. of years then the value of 't is

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

• ⟼ AMOUNT DEPOSITED (P) = Rs. 5000
• ⟼ RATE (R) = 3%
• ⟼ SIMPLE INTEREST (S.I) = Rs. 450

$\large{\blue{\maltese \: \: {\pink{\underbrace{\underline{\red{\pmb{\sf{ To \:Find :-}}}}}}}}}$

• ⟼ TIME TAKEN (T)

$\large{\blue{\maltese \: \: {\pink{\underbrace{\underline{\red{\pmb{\sf{ We \: Know :-}}}}}}}}}$

$⟼TIME \: (T) = \frac{(S.I) \times 100}{(P) \times (R)}$

$\large{\blue{\maltese \: \: {\pink{\underbrace{\underline{\red{\pmb{\sf{ Solution :-}}}}}}}}}$

$⟼TIME(T) = \frac{450 \times 100}{5000 \times 3}$

$⟼TIME(T) = \frac{45000}{15000}$

⟼ TIME = 3 YEARS.

$\large{\blue{\maltese \: \: {\pink{\underbrace{\underline{\red{\pmb{\sf{ Answer :-}}}}}}}}}$

THE TIME TAKEN IS 3 YEARS.