Arithmatical - Simple Interest

DIRECTIONS : Problems based on Simple Interest.
13. A person takes a loan of Rs. 200 at 5% simple interest. He returns Rs. 100 at the end of 1 year. In order to clear his dues at the end of 2 years, he would pay
  A.  Rs.105
  B.  Rs.110
  C.  Rs.115
  D.  Rs.115.50
Solution
Amount to be paid= Rs.(100+200x5x1/100 + 100x5x1/100)
‹=›Rs. 115.
14. At what rate percent per annum will the simple interest on a sum of money be 2/5 of the amount in 10 years?
  A.  2%
  B.  4%
  C.  6%
  D.  11%
Solution
Let sum = x
Time = 10 years.
Then, S.I= 2x /5,
Rate =(100 ×2x / x×5×10)%
‹=›4%.

15. The simple interest on Rs. 1820 from march 9, 2003 to may 21, 2003 at 7x1/2% rate will be
  A.  Rs.22.50
  B.  Rs.27.30
  C.  Rs.28.80
  D.  Rs.29
Solution
Time = (22+30+21) days
‹=›73 days.
‹=› 1/5 year.
S.I = Rs. (1820×15/2×1/5×1/100)
‹=›Rs. 27.30.
16. At what percent per annum will a sum of money double in 16 years?
  A.  6x1/4%
  B.  5x3/2%
  C.  7x2/3%
  D.  None of these
Solution
Let Principal= P.
Then,S.I = P and T = 16 yrs.
Rate= (100×P/P×16)%
= 6×1/4%.
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