Question

Question 1.
Calculate the amount and the compound interest on
Rs 4,600 in 2 years when the rate of interest is 12%.​

Answer 1

Answer:

C.I of 4600 for 2 year at rate of interest are 10% and 12%

Amount=4600×(1+10010)(1+10012)

⇒4600×100110×100112

⇒5667.20Rs.

C.I.=5667.20−4600=1067.20Rs.

Answered By

Tanisha

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Answer 2

S O L U T I O N :

$\underline{\bf{Given\::}}$

• Principal, (P) = Rs.4600
• Rate, (R) = 12% p.a.
• Time, (n) = 2 years

$\underline{\bf{Explanation\::}}$

As we know that formula of the compounded annually;

$\boxed{\bf{Amount =Principal\bigg(1+\frac{R}{100} \bigg)^{n}}}$

A/q

$\mapsto\tt{Amount = 4600\bigg(1+\dfrac{12}{100} \bigg)^{2}}$

$\mapsto\tt{Amount = 4600\bigg(1+\cancel{\dfrac{12}{100}} \bigg)^{2}}$

$\mapsto\tt{Amount = 4600\bigg(1+\dfrac{3}{25} \bigg)^{2}}$

$\mapsto\tt{Amount = 4600\bigg(\dfrac{25+3}{100} \bigg)^{2}}$

$\mapsto\tt{Amount = 4600\bigg(\dfrac{28}{25} \bigg)^{2}}$

$\mapsto\tt{Amount = \cancel{4600} \times \dfrac{28}{\cancel{25}}\times \dfrac{28}{\cancel{25}} }$

$\mapsto\tt{Amount = Rs.(7.36 \times 28 \times 28)}$

$\mapsto\bf{Amount = Rs.5770.24}$

Now, as we know that compound Interest;

→ C.I. = Amount - Principal

→ C.I. = Rs.5770.24 - Rs.4600

→ C.I. = Rs.5770.24 - Rs.4600

→ C.I. = Rs.1170.24