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A person invests money in three different schemes for 6 years, 10 years and 12 years at 10%, 12% and 15% simple interest respectively. At the completion of each scheme, he gets the same interest. The ratio of his investment is = ?
Options:
A .  6 : 3 : 2
B .  2 : 3 : 4
C .  3 : 4 : 6
D .  3 : 4 : 2
Answer: Option A
Let the principal in each case = 100 units
According to the question,
     
     
  1st part  
  2nd part  
  3rd part  
  Principal  
  →  
  100x6  
  100x3  
  100x2  
  Rate %  
  →  
  10  
  12  
  15  
  Time  
  →  
  6  
  10  
  12  
  Interest  
  →  
  60x6  
  120x3  
  180x2  
Interest Interest is same in each, so equal the interest.
Hence required ratio
= 600 : 300 : 200 of sum
= 6 : 3 : 2

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