Question

find the compound interest on 1800 for 1 year at the rate of 4 % p.a compounded quarterly​

Answer 1

Answer:

Rs. 73.08 is the compound interest for 1 year on Rs.1800

Answer 2

Solution :

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

• Principal, (P) = Rs.1800
• Rate, (R) = 4% p.a.
• Time, (n) = 1 year

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

As we know that formula of the compounded quarterly;

$\boxed{\bf{Amount=Principal\bigg[1+\frac{R/4}{100} \bigg]^{4n}}}$

A/q

$\mapsto\tt{Amount=1800\bigg(1+\dfrac{\cancel{4}}{\cancel{4}\times 100} \bigg)^{(4\times 1)}}\\\\\\\mapsto\tt{Amount=1800\bigg(1+\dfrac{1}{100} \bigg)^{4}}\\\\\\\mapsto\tt{Amount=1800\bigg(\dfrac{100+1}{100} \bigg)^{4}}\\\\\\\mapsto\tt{Amount=1800\bigg(\dfrac{101}{100} \bigg)^{4}}\\\\\\\mapsto\tt{Amount=18\cancel{00}\times \dfrac{101}{\cancel{100}} \times \dfrac{101}{100}\times \dfrac{101}{100}\times \dfrac{101}{100}}$

$\mapsto\tt{Amount=\dfrac{18\times 101\times101 \times 101\times 101}{1000000} }\\\\\\\mapsto\tt{Amount=\cancel{\dfrac{1873087218}{1000000} }}\\\\\\\mapsto\bf{Amount=Rs.1873.08}$

Now;

As we know that compound Interest;

$\mapsto\sf{C.I. = Amount-Principal}\\\\\mapsto\sf{C.I.=Rs.1873.08 - Rs.1800}\\\\\mapsto\bf{C.I. = Rs.73.08}$

Thus;

The compound Interest will be Rs.73.08 .