Question

Q1: How much time will it take for an amount
of Rs 450 to yield Rs 81 as interest at 4.5% per
annum of simple interest?
​

Answer 1

Answer

• Time = 4 years

Given

• An amount of Rs.450 yields Rs.81 as interest at 4.5 % per annum

To Find

• Time

Formula Used

$\bf \bigstar \;\; S.I.=\dfrac{PTR}{100}$

Solution

Principal , P = Rs. 450

Simple Interest , SI = Rs. 81

Rate of Interest , R = 4.5 % per annum

Time , t = ? years

Apply formula .

$\implies \rm SI=\dfrac{PTR}{100}\\\\\implies \rm 81=\dfrac{450 \times T \times 4.5}{100}\\\\\implies \rm 81=4.5 \times 4.5 \times T\\\\\implies \rm T=4\ years$

More Info

$\bf Compount\ Interest\ :\\\\\bf CI=A\bigg[1+\dfrac{R}{100}\bigg]^{Time}$

Answer 2

$\bf\huge\blue{\underline{\underline{ Question : }}}$

How much time will it take for an amount

of Rs 450 to yield Rs 81 as interest at 4.5% per

annum of simple interest?

$\bf\huge\blue{\underline{\underline{ Solution : }}}$

★ Given that,

• An amount of ₹ 450 to yield ₹ 81 at an interest of 4.5% per annum.

★ To find,

• Time.

★ Let,

• Principle (P) = 450
• Simple Interest (SI) = 81
• Rate of interest (R) = 4.5

By using Time formula =

$\tt\red{ \implies T = \frac{ 100 \times SI}{ P \times R}}$

• Substitute the values.

$\sf\:\implies T = \frac{ 100 \times 81}{ 450 \times 4.5}$

• After the calculations.

$\sf\:\implies T = 4$

∴ Time (T) = 4 years.

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★ Important formulas in Simple Interest:

$\bf\green{(1) SI = \frac{PTR}{100}}$

$\bf\green{(2) P = \frac{100 \times SI}{T \times R} }$

$\bf\green{(3) T = \frac{100 \times SI}{P \times R} }$

$\bf\green{(4) R = \frac{100 \times SI}{P \times T} }$

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