Question

Principal = Rs. 2,000
Rate = 5%
Duration (years) = 2
Find the Amount and Compound Interest?
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Answer 1

Answer:

A=2,205

C.I.=205

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

Given that P =₹ 2,000, r=5 % and n=2

Amount at the end of second year =

$\color{magenta} \begin{array}{l} \tt\[ = 2,000 \times\left(1+\dfrac{5}{100}\right)^{2} \] \\ \\ \tt = 2000 \times \left( \dfrac{100 + 5}{100} \right) {}^{ {}^{ {}^{ {}^{2} } } } \\ \\ = \tt2000 \times \left( \dfrac{105}{100} \right) {}^{ {}^{ {}^{2} } } \\ \\ = \tt2000 \times \left( \dfrac{21}{20} \right) ^{2} \\ \\ = \tt \cancel{2000}^{ {}^{5} } \times \dfrac{441} {\cancel{400}} \\ \\ = \tt5 \times 441 \\ \\ \tt = 2205\end{array}$

Compound interest =₹ 2205-₹ 2000=₹ 2,05