question_answer

A sum of Rs.450 amounts to Rs.495 in 2 years, hi what time will the sum of Rs.820 amount to Rs. 943 at the same rate?

A) 3 years         

B) 2 years                

C) 4 years                  

D) 6 years

Correct Answer: A

Solution :

\[28\frac{4}{7}\] \[28\frac{3}{4}\] \[R=\frac{100\times I}{PT}=\frac{100\times 45}{450\times 2}=5%\] Now take, \[P=Rs.\,820;\,A=Rs.\,943;\,R=5%;\,T=?\] \[I=A-P=943-820=Rs.\,123.\] \[I=\frac{PTR}{100}\] \[T=\frac{100\times I}{PR}=\frac{100\times 123}{820\times 5}=3\,years.\]