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  1. The simple interest on a sum of money for 3 years is Rs. 240 and the compound interest on the same sum, at the same rate for 2 years is Rs. 170. The rate of interest is :
    1. 8%
    2. 29
      1
      %
      6
    3. 12
      1
      %
      2
    4. 5
      5
      %
      17
Correct Option: C

As per the given in question ,
∵   S.I. for 3 years = Rs. 240

∴  S.I. for 2 years =
240
× 2 = Rs. 160
3

∴ SI =
P × R × T
100

∴ 
PR × 2
= 160
100

⇒  PR = 160 × 50 = 8000...(i)
Again, C.I. – S.I. = 170 – 160 = Rs. 10
⇒ Difference =
PR2
10000

⇒ 
PR2
= 10
10000

⇒ 
8000 × R
= 10
10000

⇒  R =
100
=
25
= 12
1
%
822



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