Q174
ArithmeticSimple & Compound Interest
A man deposited Rs. 3,000 in a Bank and Rs. 2,500 in a Post Office. Rate of interest of Bank is $\dfrac{1}{2}$% more than that of Post Office. If he gets Rs. 235 as total interest at the end of the year, the rate of interest of Post Office is
- a.2%
- b.$2\dfrac{1}{2}$%
- c.4%
- d.$4\dfrac{1}{2}$%
Answer: (C) 4%
Let the Post Office rate be $r$%, so the Bank rate is $(r+0.5)$%. Then $3000(r+0.5)/100 + 2500r/100 = 235$, which simplifies to $5500r = 22{,}000$, giving $r=4\%$.