Question

find the compound intrest on 1,50,000 for 2 years @ 8% p.a payable half yearly?​

Answer 1

Answer:

24960

Step-by-step explanation:

Given;

Principal = 150000

Time = 2 years

Rate = 8%

Amount = Principal * (1 + r/100)^n

Since, amount = Principal + Compound interest

Principal + Compound interest = Principal * (1 + r/100)^n

150000 + CI = 150000 * (1 + 8/100)^2

150000 + CI = 150000 * (1+2/25)^2

150000 + CI = 150000 * (27/25)^2

150000 + CI = 150000 * 729/625

CI = 150000 * 729/625 - 150000

CI = 24960

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Answer 2

Solution →

Given →

• Principal Amount (p) = 1,50,000
• Rate (r) = 8% P.A. = 8 / 2 = 4% per Half - Year t
• Time (n) = 2 Years × 2 = 4
• Compound Interest (Ci) = ?

Now,

$ci = p {((1 + \frac{r}{100} )}^{n} - 1)$

$ci = 150000( {(1 </strong><strong>+</strong><strong> \frac{4}{100}) }^{</strong><strong>4</strong><strong>} - 1)$

$= 150000( {( \frac{100 + 4}{100}) }^{</strong><strong>4</strong><strong>} - 1)$

$= 150000( {( \frac{104}{100} }^{</strong><strong>4</strong><strong>} ) - 1)$

$= 150000(</strong><strong>(</strong><strong>{</strong><strong>1</strong><strong>.</strong><strong>0</strong><strong>4</strong><strong>}</strong><strong>^</strong><strong>{</strong><strong>4</strong><strong>}</strong><strong> - 1)$

$= 150000( </strong><strong>1</strong><strong>.</strong><strong>1</strong><strong>6</strong><strong>9</strong><strong>8</strong><strong>5</strong><strong>8</strong><strong>5</strong><strong>6</strong><strong>-</strong><strong>1</strong><strong> )$

$= 150000( </strong><strong>0</strong><strong>.</strong><strong>1</strong><strong>6</strong><strong>9</strong><strong>8</strong><strong>5</strong><strong>8</strong><strong>5</strong><strong>6</strong><strong>)$

$= </strong><strong>1</strong><strong>5</strong><strong>0</strong><strong>0</strong><strong>0</strong><strong>0</strong><strong>×</strong><strong>o</strong><strong>.</strong><strong>1</strong><strong>6</strong><strong>9</strong><strong>8</strong><strong>5</strong><strong>8</strong><strong>5</strong><strong>6</strong><strong>$

$= </strong><strong>2</strong><strong>5</strong><strong>4</strong><strong>7</strong><strong>8</strong><strong>.</strong><strong>7</strong><strong>8</strong><strong>4</strong><strong>$

Answer

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