Question

Calculate the amount interest on rupees 10800 for 3 years at 12 1/2 % per annum compounded annually.
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Answer 1

Calculate the amount and compound interest on (a) Rs10,800 for 3 years at (12)12% per annum compounded annually. (i) Rs18,000 for (2)12 years at 10% per annum compounded annually. (q) Rs62,500 for (1)12 years at 8% per annum compounded half yearly. (y) Rs8,000 for 1 year at 9% per annum compounded half yearly. (You could use the year by year calculation using SI formula to verify). (z) Rs10,000 for 1 year at 8% per annum compounded half yearly.

Question from Class 8 Chapter Comparing Quantities

Answer 2

$\huge{ \mathtt{GivEn:-}}$

• Principal = ₹ 10,800
• Rate = 12 1/2 % = 25/2% per annum
• Time = 3 years

$\huge{ \underline{ \mathtt{ \red{ \: ExplaNaTioN:-}}}}$

As we know that;

$\large \boxed{ \purple{ \mathcal{Amount = p(1 + \frac{r}{100} ) ^{n} }}}$

$\large{ \implies{10800(1 + \frac{25}{2 \times 100} ) ^{3} }} \\ \large{ \implies{10800(1 + \frac{1}{8} ) ^{3} }} \\ \large{ \implies{10800( \frac{9}{8} ) ^{3} }} \\ \large{ \implies{10800 \times \frac{9}{8} \times \frac{9}{8} \times \frac{9}{8} }} \\ \large{ \implies{ \frac{493075}{32}}} \\ \large{ \implies{ \bold{15377.34}}}$

As we know that,

Amount = 15377.34

Therefore,

Compound amount = amount - principal

$\large{ \implies{ 15377.34 - 10800}} \\ \large{ \implies{ \bold{ 4577.34}}}$