Question

Find the amount and compound interest on 25000 for 3 years at the rate of 15% per annum?​

Answer 1

Answer:

Given :-

• A sum of Rs 25000 for 3 years at the rate of 15% per annum.

To Find :-

• What is the amount and compound interest.

Formula Used :-

❶ To find amount we know that,

${\purple{\boxed{\large{\bold{A =\: P\bigg(1 + \dfrac{r}{100}\bigg)^{n}}}}}}$

where,

• A = Amount
• P = Principal
• r = Rate of Interest

❷ To find compound interest we know that,

${\purple{\boxed{\large{\bold{C.I =\: A - P}}}}}$

where,

• C.I = Compound Interest
• A = Amount
• P = Principal

Solution :-

❶ First, we have to find amount,

Given :

• Principal = Rs 25000
• Rate of Interest = 15%
• Time = 3 years

According to the question by using the formula we get,

⇒ $\sf A =\: 25000\bigg(1 + \dfrac{15}{100}\bigg)^{3}$

⇒ $\sf A =\: 25000\bigg(\dfrac{100 + 15}{100}\bigg)^{3}$

⇒ $\sf A =\: 25000\bigg(\dfrac{115}{100}\bigg)^{3}$

⇒ $\sf A =\: 25\cancel{000} \times \dfrac{115}{\cancel{100}} \times \dfrac{115}{10\cancel{0}} \times \dfrac{115}{100}$

⇒ $\sf A =\: \dfrac{38021875}{1000}$

➠ $\sf\bold{\red{A =\: Rs\: 38021.875}}$

$\therefore$ The amount is Rs 38021.875 .

❷ Now, we have to find the compound interest,

Given :

• Amount = Rs 38021.875
• Principal = Rs 25000

According to the question by using the formula we get,

↦ $\sf C.I =\: Rs\: 38021.875 - Rs\: 25000$

➦ $\sf\bold{\green{C.I =\: Rs\: 13021.875}}$

$\therefore$ The compound interest is Rs 13021.875 .

Answer 2

amount = 28750

compound interest= 3750