How much time will it take for a principal of $20000to give 100 as int

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

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

Answer»

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.