Arithmatical - Simple Interest

DIRECTIONS : Problems based on Simple Interest.
9. A sum of money lent out at simple interest amounts to Rs. 720 after 2 years and to Rs. 1020 after a further period of 5 years. The sum is
  A.  Rs.500
  B.  Rs.600
  C.  Rs.700
  D.  Rs.710
Solution
S.I. for 5 year = Rs.(1020 - 720)
= Rs. 300.
S.I. for 2 year = Rs.(300/5×2)
= Rs. 120.
Principal = Rs. (720 - 120)
= Rs. 600.
10. A sum of Rs. 12,500 amounts to Rs. 15,500 in 4 years at the rate of simple interest. What is the rate of interest?
  A.  3%
  B.  4%
  C.  5%
  D.  6%
Solution
S.I.= Rs. (15500 - 12500)
= Rs. 3000.
Rate = (100×3000 / 12500×4)%
= 6%.

11. A sum of money amounts to Rs. 9800 after 5 years and Rs. 12005 after 8 years at the same rate of simple interest.The rate of interest per annum is
  A.  5%
  B.  8%
  C.  12%
  D.  15%
Solution
S.I. for 3 year = Rs.(12005 - 9800)
= Rs. 2205.
S.I. for 5 year = Rs.(2205/3 ×5)
= Rs. 3675.
Principal = Rs. (9800 - 3675)
= Rs. 6125.
Hence, rate = (100×3675 / 6125×5)= 12%.
12. How much time will it take for an amount of Rs. 450 to yield Rs. 81 as interest at 4.5% per annum of simple interest?
  A.  3.5 years
  B.  4 years
  C.  4.5 years
  D.  5 years
Solution
Time = (100 x 81 / 450 x 4.5)years
‹=› (8100/2025)years
‹=› 4 years.
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