A certain sum amounts to Rs.7350 in 2 years and to Rs.8575 in 3 years.find the sum and rate percent  Choose the most appropriate option
A) 3488  B) 7789  C) 5400  D) 2887  E) 1881
Explanation:   Interest for 1 year is the same whether it's simple interest or the compound interest.   Now interest of third year = 8575 - 7350= 
<gadget id="calculator">8575 - 7350</gadget>
<output>1_225</output>
1225; means principal for this interest is 7350 if comound interest is takenIf 7350 is the principal interest= 1225   if 100 is the principal interest =(1225/7350) * 100 = 50/3 %   When a thing increases for two successive times the overall increase on initial amount = a + b + (a * b)/100   Therefore overall interest for two years = 50/3 + 50/3 + [(50/3)*(50/3)]/100 = 325/9 %   Therefore amount after 2 years = 100 + 325/9 = 1225/9   If 1225/9 is the amount principal =100   if 7350 is the amount principal =(900/1225)*7350= 
<gadget id="calculator">(900/1225)*7350</gadget>
<output>5_400</output>
5400   So sum= 5400; Rate = 50/3 %   Answer: 5400) 5400
<result>C</result>
A certain sum amounts to Rs.7350 in 2 years and to Rs.8575 in 3 years.find the sum and rate percent