Question

6. Find the time when
i. principal = * 300, simple interest =* 6.75 and rate = 4 1/2% p.a​

Answer 1

Answer:

The time period of the interest is 0.5 years.

Step-by-step-explanation:

We have given that,

• Principle ( P ) = Rs. 300
• Simple Interest = Rs. 6.75
• Rate of interest ( R ) = 4 ½ % = 4 + ½ = 4 + 0.5 = 4.5 %

We have to find the time period of the interest.

Now, we know that,

$\displaystyle{\pink{\sf\:Simple\:interest\:=\:\dfrac{P\:\times\:R\:\times\:N}{100}}}$

$\displaystyle{\implies\sf\:6.75\:=\:\dfrac{3\cancel{00}\:\times\:4.5\:\times\:N}{1\cancel{00}}}$

$\displaystyle{\implies\sf\:6.75\:=\:3\:\times\:4.5\:\times\:N}$

$\displaystyle{\implies\sf\:N\:=\:\dfrac{6.75}{3\:\times\:4.5}}$

$\displaystyle{\implies\sf\:N\:=\:\dfrac{6.75\:\times\:10}{3\:\times\:45}}$

$\displaystyle{\implies\sf\:N\:=\:\dfrac{\cancel{67.5}}{\cancel{3}\:\times\:45}}$

$\displaystyle{\implies\sf\:N\:=\:\cancel{\dfrac{22.5}{45}}}$

$\displaystyle{\implies\sf\:N\:=\:\dfrac{4.5}{9}}$

$\displaystyle{\implies\sf\:N\:=\:\cancel{\dfrac{45}{90}}}$

$\displaystyle{\implies\sf\:N\:=\:\cancel{\dfrac{1}{2}}}$

$\displaystyle{\implies\underline{\boxed{\red{\sf\:N\:=\:0.5\:years}}}}$

∴ The time period of the interest is 0.5 years.

Answer 2

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