A person lent out some money for 1 year at 6% per annum simple interest and after 18 months, he again lent out the same money at a simple interest of 24% per annum. In both the cases, he got Rs.4704. Which of these could be the amount that was lent out in each case if interest is paid half-yearly?
Choose the correct choice from the following answers.
A) 2200	B) 3000	C) 3200	D) 4200	E) 5000
If interest is paid half yearly,   in first case , r=3% per 6 months   for 18 months, I=( P*3*3)/100 ; here r=3% and t=3 as interest for 18 months in t=18/6   for next 6 month (i.e 24 months) I= (P*3*4)/100 =12P/100   second case,   After 18 months, same amount is lent out   r=12%   for 6 month i.e, first interest for t=1 , I=(12*1*P)/100=12P/100   For both cases , he got 4704   In above case , both cases have same interest as 12P/100   i.e P+12P/100=4704;   P=4200   ANSWER:4200
<result>D</result>
A person lent out some money for 1 year at 6% per annum simple interest and after 18 months, he again lent out the same money at a simple interest of 24% per annum. In both the cases, he got Rs.4704. Which of these could be the amount that was lent out in each case if interest is paid half-yearly?