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? (a) 3.6% (b) 4.5% (c) 5% (d) 6% (e) None of these

Options

A. 0.036
B. 0.045
C. 0.05
D. 0.0346

Answer

D

Explanation

Let the original rate be R % then, new rate = (2R) %
` therefore ((725 xx R xx 1)/100) + (( 362.50 xx 2R xx1)/(100xx 3)) = 33.50`
` Rightarrow ( 2175 + 725) R = 33.50 xx 100 xx 3 = 10050`
` Rightarrow R= 10050/2900 = 3.46%`