Question

Find the time after which Rs 500 will earn simple interest Rs 82.50 at 11% per annum

Answer 1

Answer:

hope it will help

Step-by-step explanation:

principle(p) = Rs. 500

Simple interest (s.i) = Rs. 82.50

Rate (r) = 11% per annum

Time(t) = ?

we know,

S.I = P × T × R ÷ 100

82.50 = 500 × T × 11 ÷ 100

82.50 = 5500T ÷100

Do cross multiply

8250 = 5500T

8250÷5500 = T

1.5 = T

Therefore, Time(t) = 1.5 years

Answer 2

$\text{Let the Time be t years}$

$\text{Given the simple interest = 82.50}$

$\text{Principal = 500}$

$\text{Rate = 11}$

$\red{\boxed{S·I = \dfrac{p \times r \times t}{100}}}$

$\red{\boxed{T = \dfrac{100 \times SI}{P × R}}}</p><p>$

$\blue{\boxed{T = \dfrac{100 \times 82.50}{500 × 11} = 1.5 years}}$

$\text{Hence,the time taken is 1.5 years.}$

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$\text{Some Extra Information:}$

• Amount = $P = \bigg(1 + \dfrac{R}{100}\bigg)^{n}$
• compound interest = Amount - Principal

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