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51.
A sum of money doubles in 8 years. In how many years, it will treble at S.I.
  • A.
    4
  • C.
    12
  • B.
    8
  • D.
    16
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Answer : [D]
Explanation :
 
Here P is the same
 
A simple ratio will give the Time
 
8  = 1    
T 2    
 
  T = 16 years  
 
i.e., In 16 years, the amount will treble
 
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52.
A sum was put a simple interest at a certain rate for 2 years. Had it been put at 3% higher rate, it would have fetched Rs. 72 more. The sum is:
  • A.
    Rs. 1200
  • C.
    Rs. 1600
  • B.
    Rs. 1500
  • D.
    Rs. 1800
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Answer : [A]
Explanation :
 
Let the sum be Rs. x and original rate be R%. Then, x x (R + 3) x 2 - x x R x 2  = 72  
100 100  
 
  2Rx + 6x - 2Rx = 7200  
 
  x = 1200.  
 
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53.
The interest on a certain deposit at 4.5% per annum is Rs. 202.50 in one year. How much will the additional interest in one year be on the same deposit at 5% per annum?
  • A.
    Rs. 20.25
  • C.
    Rs. 25
  • B.
    Rs. 22.50
  • D.
    Rs. 42.75
  • Answer & Explanation
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Answer : [B]
Explanation :
 
S.I. = Rs. 202.50, R = 4.5%, T = 1 year.
 
Principal = Rs.   100 x 202.50    = Rs. 4500      
4.5 x 1      
 
Now, P = Rs. 4500, R = 5%, T = 1 year.
 
S.I. = Rs.   4500 x 5 x 1    = Rs. 225      
100      
 
  Difference in interest = Rs. (225 - 202.50) = Rs. 22.50.  
 
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54.
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%
  • C.
    12%
  • B.
    8%
  • D.
    15%
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Answer : [C]
Explanation :
 
S.I. for 3 years = Rs. (12005 - 9800) = Rs. 2205.
 
S.I. for 5 years = Rs.
2205  x 5
3
 = Rs. 3675.    
 
   Principal = Rs. (9800 - 3675) = Rs. 6125  
 

Hence, rate =

100 x 3675
6125 x 5
% = 12%    
 
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55.
A man invests a certain sum of money at 6% per annum simple interest and another sum at 7% per annum simple interest. His income from interest after 2 years was Rs. 354. One-forth of the first sum is equal to one-fifth of the second sum. The total sum invested was :
  • A.
    Rs. 2600
  • C.
    Rs. 2880
  • B.
    Rs. 2700
  • D.
    Rs. 2900
  • Answer & Explanation
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Answer : [B]
Explanation :
 
Let the sums be x and y.
 
  x x 6 x 2 + y x 7 x 2  = 354 or 6x + 7y = 17700. ...(i)  
  100 100    
 
Also, x = y  or 5x - 4y = 0 ...(ii)  
4 5    
 
Solving (i) and (ii), we get : x = 1200 and y = 1500.
 
   Total sum = Rs. 2700.  
 
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