Question

Find the difference between the compound interest and the simple interest on
30 000 at 7% per annum for three years.​

Answer 1

Answer:Ci= p{(1+r/100)^n-1}

30000{(1+7/100)^3-1}

30000{(100+7/100)^3-1}

30000{(107/100)^3-1}

30000{1,225,043/1000000-1

30000{1.225043-1}

30000{0.225043}

30000×0.225043

6751.29

Therefore ci = 6751.29

Si= pxrxt/100

30000x7x3/100

=6300

Therefore si =6300

There difference= 6751.29 - 6300=451.29 answer.

please mark as the Brainliest Answer.....................

Answer 2

$\huge\underline\mathfrak\pink{Given}$

• The difference between the compound interest and the simple interest on 30 000 at 7% per annum for three years.

$\huge\underline\mathfrak\pink{To \: Find}$

• The difference between the compound interest and simple interest.

$\huge\underline\mathfrak\pink{Solution}$

For Compound Interest,

Principal ( P) =30000

Rate of Interest (r) =7%

Time(n) = 3 years

$\sf{\implies \: CI = p(1 + \frac{r}{100} )^{n} }$

$\sf{\implies \: CI = 30000(1 + \frac{7}{100} )^{3} }$

$\sf{\implies \: CI = 30000( \frac{107}</p><p>{100}) ^{3} }$

$\sf{\implies \: </strong><strong>CI</strong><strong> = 3{\cancel{00}}{\cancel{00} }\times \frac{107}{\cancel{100}} \times \frac{107}{\cancel{100}} \times \frac{107}{100 } }$

$\sf{\implies \: </strong><strong>CI</strong><strong> = 3 \times \frac{1</strong><strong>2</strong><strong>2</strong><strong>5</strong><strong>0</strong><strong>4</strong><strong>3</strong><strong>}{100} }$

$\sf{\implies \: </strong><strong>CI</strong><strong> = \frac{3</strong><strong>6</strong><strong>7</strong><strong>5</strong><strong>1</strong><strong>2</strong><strong>9</strong><strong>}{100} }$

$\sf{\implies \: </strong><strong>CI</strong><strong> = 3</strong><strong>6</strong><strong>7</strong><strong>5</strong><strong>1</strong><strong>.</strong><strong>2</strong><strong>9</strong><strong>}$

Now

For Simple Interest,

$\sf{\implies \: SI = \frac{prt}{100} }$

$\sf{\implies \: SI = \frac{300{\cancel{00}} \times 7 \times 3}{\cancel{100}} }$

$\sf{\implies \: SI = 6300}$

The different between compound interest and simple interest is

=(6300 - 36751.29)

=30451.29

$\huge\underline\mathfrak\pink{TyankYou}$