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  1. If a sum of money becomes Rs. 4000 in 2 years and Rs. 5500 in 4 years 6 months at the same rate of simple interest per annum, then the rate of simple interest is
    1. 21
      3
      %
      7
    2. 21
      2
      %
      7
    3. 21
      1
      %
      7
    4. 21
      5
      %
      7
Correct Option: A

According to the question,
S.I. for 2 years 6 months = Rs. (5500 – 4000)

⇒ S.I. for
5
years = Rs. 1500
2

∴ S.I. for 1 year =
1500 × 2
= Rs. 600
5

∴ S.I. for 2 years = Rs. 1200
∴ Principal = Amount - SI = Rs. (4000 – 1200) = Rs. 2800
∴ Rate =
SI × 100
Principal × Time

Rate =
1200 × 100
=
150
2800 × 27

Rate = 21
3
% per annum.
7



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