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WBCS Preliminary Examination 2017 — General Studies · Question 174 of 200

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
  1. a.2%
  2. b.$2\dfrac{1}{2}$%
  3. c.4%
  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 $r=4\%$.