question_answer

A sum \[{{P}_{1}}\]at the rate of \[{{R}_{1}}\]becomes \[5{{P}_{1}}\]in 5 years. Likewise, a sum \[{{P}_{2}}\]at the rate \[{{R}_{2}}\]becomes \[10{{P}_{2}}\] in 10 years. Which of the following is a correct statement if \[{{R}_{1}}\,and\,{{R}_{2}}\] are simple interest rates?

A) \[{{R}_{1}}\,=\,{{R}_{2}}\]                

B) \[{{R}_{1}}\,<\,{{R}_{2}}\]

C) \[{{R}_{2}}\,<\,{{R}_{1}}\]                

D) The relation between \[{{R}_{1}}\,and\,{{R}_{2}}\]depends on \[{{P}_{1}}\,and\,{{P}_{2}}\]