Question

find the compound intrest of rs 50000 where the rate is 5% and the time is 3 years​

Answer 1

Answer:

Given :-

• A sum of Rs 50000 where the rate of interest is 5% and the time is 3 years.

To Find :-

• What is the compound interest or S.I.

Formula Used :-

$\clubsuit$ Amount Formula :

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

$\clubsuit$ Compound Interest or S.I Formula :

$\longmapsto \sf\boxed{\bold{\pink{C.I =\: A - P}}}$

where,

• A = Amount
• P = Principal
• r = Rate of Interest
• n = Time
• C.I = Compound Interest

Solution :-

First, we have to find the amount :

Given :

$\bigstar$ Principal (P) = Rs 50000

$\bigstar$ Rate of Interest (r) = 5%

$\bigstar$ Time (n) = 3 years

According to the question by using the formula we get,

$\implies \sf A =\: 50000\bigg(1 + \dfrac{5}{100}\bigg)^3$

$\implies \sf A =\: 50000\bigg(\dfrac{100 + 5}{100}\bigg)^3$

$\implies \sf A =\: 50000\bigg(\dfrac{105}{100}\bigg)^3$

$\implies \sf A =\: 5{\cancel{00}}{\cancel{00}} \times \dfrac{105}{100} \times \dfrac{105}{1\cancel{00}} \times \dfrac{105}{1\cancel{00}}$

$\implies \sf A =\: \dfrac{5 \times 105 \times 105 \times 105}{100}$

$\implies \sf A =\: \dfrac{5788125}{100}$

$\implies \sf\bold{\purple{A =\: Rs\: 57881.25}}$

Hence, the amount is Rs 57881.25.

Now, we have to find the compound interest :

Given :

$\bigstar$ Amount (A) = Rs 57881.25

$\bigstar$ Principal (P) = Rs 50000

According to the question by using the formula we get,

$\longrightarrow \sf C.I =\: Rs\: 57881.25 - Rs\: 50000$

$\longrightarrow \sf\bold{\red{C.I =\: Rs\: 7881.25}}$

$\therefore$ The compound interest is Rs 7881.25.

Answer 2

Given :-

A sum of Rs 50000 where the rate of interest is 5% and the time is 3 years.

To Find :-

What is the compound interest or S.I.

Formula Used :-

♣ Amount Formula :

$\begin{gathered}\longmapsto \sf\boxed{\bold{\pink{A =\: P\bigg(1 + \dfrac{r}{100}\bigg)^n}}}\\\end{gathered}$

$\clubsuit♣ Compound Interest or S.I Formula :$

$\begin{gathered}\longmapsto \sf\boxed{\bold{\pink{C.I =\: A - P}}}\\\end{gathered}$

where,

• A = Amount
• P = Principal
• r = Rate of Interest
• n = Time
• C.I = Compound Interest

Solution :-

First, we have to find the amount :

Given :

★ Principal (P) = Rs 50000

★ Rate of Interest (r) = 5%

★ Time (n) = 3 years

According to the question by using the formula we get,

$\begin{gathered}\implies \sf A =\: 50000\bigg(1 + \dfrac{5}{100}\bigg)^3\\\end{gathered}$

$\begin{gathered}\implies \sf A =\: 50000\bigg(\dfrac{100 + 5}{100}\bigg)^3\\\end{gathered}$

$\begin{gathered}\implies \sf A =\: 50000\bigg(\dfrac{105}{100}\bigg)^3\\\end{gathered}$

$\begin{gathered}\implies \sf A =\: 5{\cancel{00}}{\cancel{00}} \times \dfrac{105}{100} \times \dfrac{105}{1\cancel{00}} \times \dfrac{105}{1\cancel{00}}\\\end{gathered}$

$\implies \sf A =\: \dfrac{5 \times 105 \times 105 \times 105}{100}$

$\implies \sf A =\: \dfrac{5788125}{100}$

$\implies \sf\bold{\purple{A =\: Rs\: 57881.25}}$

Hence, the amount is Rs 57881.25.

Now, we have to find the compound interest :

Given :

★ Amount (A) = Rs 57881.25

★ Principal (P) = Rs 50000

According to the question by using the formula we get,

$\begin{gathered}\longrightarrow \sf C.I =\: Rs\: 57881.25 - Rs\: 50000\\\end{gathered}$

$\begin{gathered}\longrightarrow \sf\bold{\red{C.I =\: Rs\: 7881.25}}\\\end{gathered}$

∴ The compound interest is Rs 7881.25