Question

Find the difference between the compound interest and the simple interest on Rs 4000 for 2 years at 9% per annum.​

Answer 1

best wishes......hope this can help you

Answer 2

Answer:

• Principal = Rs. 4000
• Time = 2 years
• Rate = 9% per annum
• Difference b/w CI and SI = ?

$\underline{\bigstar\:\textsf{According to the given Question :}}$

$\dashrightarrow\sf Difference=Principal \times \bigg\lgroup\dfrac{Rate}{100}\bigg\rgroup^2\\\\\\\dashrightarrow\sf Difference=4000 \times \bigg\lgroup\dfrac{9}{100}\bigg\rgroup^2\\\\\\\dashrightarrow\sf Difference=4000 \times \dfrac{9}{100} \times \dfrac{9}{100}\\\\\\\dashrightarrow\sf Difference = 0.4 \times 9 \times 9\\\\\\\dashrightarrow\sf Difference = 0.4 \times 81\\\\\\\dashrightarrow\sf Difference = Rs.\:32.40$

⠀

$\therefore\:\underline{\textsf{Difference b/w CI and SI for 2 years is \textbf{Rs. 32.40}}}.$

$\rule{200}{1}$

Likewise

When Principal and Rate are Same for both Compound Interest and Simple Interest and Time is 2 years. Then Difference can be calculated using :

$\star\:\:\sf Difference=Principal \bigg\lgroup\dfrac{Rate}{100}\bigg\rgroup^2$

⠀

When Principal and Rate are Same for both Compound Interest and Simple Interest and Time is 3 years. Then Difference can be calculated using :

$\star\:\:\sf Difference=Principal \bigg\lgroup\dfrac{Rate}{100}\bigg\rgroup^2\bigg\lgroup\dfrac{300+Rate}{100}\bigg\rgroup$