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21.
A sum of money trebles itself in 15 years 6 months. In how many years would it double itself?
  • A.
    6 years 3 months
  • C.
    8 years 3 months
  • B.
    7 years 9 months
  • D.
    9 years 6 months
  • Answer & Explanation
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Answer : [B]
Explanation :
 
Let sum = x. Then, S.I. = 2x, Time = 15 1  years = 31  years.  
2 2  
 
 
 Rate =  
100 x 2x
x x  31
2
  % = 400 %    
31    
             
 
Now, sum = x, S.I. = x, Rate = 400  %  
31  
 
 
 Time = 100 x x = 31  years = 7 years 9 months.
x x 400
31
4
         
 
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22.
A six years NSC certificate was purchased for Rs. 500 with Rs. 1000 being the maturity value. Find the rate of S.I.
  • A.
    16%
  • C.
    16    		 4 %  
    3  
  • B.
    16    		 2 %  
    3  
  • D.
    15    		 2 %  
    3  
  • Answer & Explanation
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Answer : [B]
Explanation :
 
P = Rs. 500; SI = 500; N = 6 years.
 
R = 100 x I = 100 x 500  = 16 2 %    
PT 500 x 6 3    
 
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23.
Ravi borrowed Rs. 2500 from A and B. For A, he paid 5% and for B he paid 7%. The total interest paid by him is Rs. 160. Find the amount borrowed from A.
  • A.
    750
  • C.
    1000
  • B.
    900
  • D.
    1500
  • Answer & Explanation
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Answer : [A]
Explanation :
 
Let the amount borrowed from A be Rs. x.
 

Int. paid =

x x 5 = 5x    
100 100    
 
Int. paid to B = (2500 - x)7    
100    
 

 

 17500 - 7x    
100    
 
Total Interest = 160
 
5x + 17500 - 7x = 160  
100 100  
 
-2x + 17500 = 16000
 
-2x = -1500
 
  x = 750  
 
Amount borrowed from A = Rs. 750
 
Amount borrowed from B = 2500 - 750
 
  = Rs. 1750  
 
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24.
Find the rate of C.I at which Rs. 1000 becomes Rs. 5000 in 4 years
  • A.
    10%
  • C.
    50%
  • B.
    15%
  • D.
    30%
  • Answer & Explanation
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Answer : [C]
Explanation :
 
P = 1000 Rs. A = 5000, n = 4
 

The formula is A = p

 1 +
r
100
n    
 
 
5000 = 1000 1 +
r
100
4    
 
 
1+
r
100
4 =
5000 =5      
1000      
 
1 + r  = 1.50  
100  
 
r  = 1.50 - 1 = .50      
100      
 
r = .5 x 100 = 50%  
 
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25.
The simple interest on Rs. 500 at 6% per annum from May 3rd to July 15th in the same year is
  • A.
    Rs. 9
  • C.
    Rs. 4
  • B.
    Rs. 6
  • D.
    None of these
  • Answer & Explanation
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Answer : [B]
Explanation :
 
Time from May 3rd to July 15th = 28 days of May + 30 days of June and 15 days of July
 
= 73 days = 73  years, i.e. 1  years      
365 5      
 
 
 I =
 
=
500 x 6 x 1
5
 
P x R x T  = Rs. 6
100 100
 
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