A sum of Rs. 725 is lent in the beginning of a year at a certain rate of interest. After 8 months, a sum of Rs. 362.50 more is lent but at the rate twice the former. At the end of the year, Rs. 33.50 is earned as interest from both the loans. What was the original rate of interest? Pick
A) 3.46% B) 4.2% C) 4.5% D) 5% E) None of these
Explanation :   Let the sum of Rs.725 is lent out at rate R% for 1 year   Then, at the end of 8 months, ad additional sum of 362.50 more is lent out at rate 2R% for remaining 4 months(1/3 year)   Total Simple Interest = 33.50   =&gt;725×R×1/100+362.50×2R×1/3/100=33.50   =&gt;725×R×1/100+362.50×2R/300=33.50   =&gt;725R/100+725R300=33.50   =&gt;725R(1/100+1/300)=33.50   =&gt;725R(4/300)=33.50   =&gt;725R×4=10050   =&gt;725R=2512.5   =&gt;145R=502.5   =&gt;R=502.5/145   =3.46%   3.46%nswer : Option 3.46%
<result>A</result>
A sum of Rs. 725 is lent in the beginning of a year at a certain rate of interest. After 8 months, a sum of Rs. 362.50 more is lent but at the rate twice the former. At the end of the year, Rs. 33.50 is earned as interest from both the loans. What was the original rate of interest?