Question

In what time Rs 8100 will produce the same income at 3% as Rs 225 in 4 years at 3 %?

• A. $\frac{1}{7}years$
  
• B. $\frac{1}{9}years$
  
• C. $\frac{1}{6}years$
  
• D. $\frac{1}{8}years$
• E. None of these

Answer 1

The correct option is B $\frac{1}{9}years$


Income on Rs 225 in 4 years at 3%
$=\frac{P_1\times R\times T_1}{100}=\frac{225\times 3\times 4}{100}Rs27.$
Now, interest of Rs 27 is earned on Rs 8100 at 3% simple interest.
$\therefore$ Time $\left(T_2\right)=\frac{100\times I}{P_2\times R}=\frac{100\times 27}{8100\times 3}=\frac{1}{9}year.$