Arithmatical - Simple Interest

DIRECTIONS : Problems based on Simple Interest.
21. The rates of simple interest in two banks A and B are in the ratio 5 : 4. A person wants to deposit his total savings in two banks in such a way that he received equal half yearly interest from both. He should deposit the savings in banks A and B in the ratio
  A.  2 : 5
  B.  4 : 5
  C.  5 : 2
  D.  5 : 4
Solution
Let the savings be X and Y and the rates of simple interest be 5x and 4x respectively. Then,
‹=›X x 5x x 1/2 x 1/100
‹=›Yx4xx1/2x1/100
‹=›X/Y = 4/5
X : Y = 4 : 5.

22. A certain amount earns simple interest of Rs. 1750 after 7 years. Had the interest been 2% more, how much more interest would it have earned?
  A.  Rs.35
  B.  Rs. 50
  C.  Rs.80
  D.  Cannot be determined
Solution
We need to know the S.I., principal and time to find the rate. Since the principal is not given, so data is inadequate.
23. A sum fetched a total simple interest of Rs. 4016.25 at the rate of 9 p.c.p.a. in 5 years. What is the sum?
  A.  Rs. 4462.60
  B.  Rs. 8032.50
  C.  Rs. 8900
  D.  Rs. 8925
Solution
Principal= Rs.(100x4016.25/9x5)
= Rs. (401625 / 45).
= Rs. 8925.
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