Question

How much time will it take for a principal of $20000to give 100 as interest at 5%
per annum?​

Answer 1

Given:

• Principal (p) = Rs. 20000
• Rate (r) = 5%
• Interest = ₹100

To Find

• Time taken for Transaction to complete Required Interest?

Solution:

$\\ \circ \: {\underline{\boxed{\tt\green{ Interest_{(Simple)} = \left( \dfrac{ Principal_{(p)} \times Rate_{(r)} \times Time_{(t)} }{100} \right) }}}}$

Let the time be x

According to Question,

$\colon\implies {\tt{ Interest_{(Simple)} = \dfrac{20000 \times 5 \times x }{100} }} \\ \\ \\ \colon\implies {\tt{ 100 = \dfrac{200 \cancel{00} \times 5 \times x }{1 \cancel{00} } }} \\ \\ \\ \colon\implies{\tt{ 100 = 200 \times 5 \times x }} \\ \\ \\ \colon\implies {\tt{ \dfrac{1 \cancel{00} }{ 2 \cancel{00} \times 5} = x }} \\ \\ \\ \colon\implies {\tt{ x = \dfrac{1}{2 \times 5} }} \\ \\ \\ \colon\implies {\tt{ x = \cancel{ \dfrac{1}{10} } }} \\ \\ \\ \colon\implies {\boxed{\tt\purple{ x = 0.1 \ Year }}}$

Hence,

• Time Taken to complete in 0.1 Year.

More to Know:

$\\ \colon \: {\boxed{\boxed{\tt\blue{ Amount_{(A)} = Principal_{(p)} + Interest }}}}$

❖ Simple Interest (S.I) is the method of calculating the interest amount for some principal amount of money.