Question

In what time will a sum of Rs. $800$ at $5$% p.a. CI amounts to Rs. $882$?

• A. $1$ year
• B. $5$ year
• C. $4$ year
• D. $2$ year

Answer 1

Answer: (D)

$2$ year

Let the time $t$ years

$A=$ Rs. $882,P=$ Rs. $800,R=5\%$

Then, $A=P{(1+\frac{R}{100})}^t$

$\Rightarrow 882=800{(1+\frac{5}{100})}^t$

$\Rightarrow {(1+\frac{5}{100})}^t=\frac{882}{800}$

$\Rightarrow {\left(\frac{105}{100}\right)}^t=\frac{441}{400}$

$\Rightarrow {\left(\frac{21}{20}\right)}^t={\left(\frac{21}{20}\right)}^2$

$\Rightarrow t=2$ years