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36.
A sum of Rs. 7700 is to be divided among three brothers vikas, Vijay and Viraj in such a way that simple interest on each part at 5% per annum after 1, 2 and 3 years, respectively remains equal. The Share of Vikas is more than that of Viraj by
  • A.
    Rs. 2800
  • C.
    Rs. 3000
  • B.
    Rs. 2500
  • D.
    None of these
  • Answer & Explanation
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Answer : [A]
Explanation :
 
Here, T1 = 1, T2 = 2, T3 = 3
 
  R1 = R2 = R3 = 5%
 
The Shares of Vikas, Vijay and Viraj will be in the ratio
 
  1 : 1 : 1 = 1 : 1 :
1
          
R1T1 R2T2 R3T3 1 x 5 2 x 5 3 x 5          
 
  = 1 : 1 : 1  = 6 : 3 : 2        
1 2 3        
 
Sum of proportionals = 6 + 3 + 2 = 11.
 
 Share of Vikas = 6  x 7700 = Rs. 4200  
11  
 
   Share of Vijay = 3  x 7700 = Rs. 2100  
11  
 
   Share of Viraj = 2  x 7700 = Rs. 1400  
11  
 
Therefore, Vikas's share is 4200 - 1400 = Rs. 2800 more than that of Viraj.
 
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37.
The simple interest on Rs. 1820 from March 9, 2003 to May 21, 2003 at 7 1 % rate will be:
2
  • A.
    Rs. 22.50
  • C.
    Rs. 28.80
  • B.
    Rs. 27.30
  • D.
    Rs. 29
  • Answer & Explanation
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Answer : [B]
Explanation :
 

Time = (22 + 30 + 21) days = 73 days =

1  year.    
5    
 
 
 S.I. = Rs.   1820 x 15 x 1 x 1    = Rs. 27.30      
2 5 100      
 
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38.
At what rate percent of simple interest will a sum of money double itself in 12 years?
  • A.
    8    		 1 %
    4
  • C.
    8    		 1 %
    2
  • B.
    8    		 1 %
    3
  • C.
    9    		 1 %
    2
  • Answer & Explanation
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Answer : [B]
Explanation :
 
Let sum = x. Then, S.I. = x.
 
 
 Rate = 100 x S.I. = 100 x x % = 25 % = 8 1 %  
P x T x x 12 3 3  
 
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39.
Peter invested an amount of Rs. 12,000 at the rate of 10 p.c.p.a simple interest and another amount at the rate of 20 p.c.pa simple interest. The total interest earned at the end of one year on the total amount invested became 14 p.c.p.a. Find the total amount invested.
  • A.
    Rs. 20,000
  • C.
    Rs. 24,000
  • E.
    None of these
  • B.
    Rs. 22,000
  • D.
    Rs. 25,000
  • Answer & Explanation
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Answer : [A]
Explanation :
 
Let the second amount be Rs. x. Then,
 
12000 x 10 x 1 + x x 20 x 1 = (12000 + x) x 14 x 1    
100 100 100  
 
   12000 + 20x = 168000 + 14x  
 
   6x = 48000  
 
   x = 8000.  
 
   Total investment = Rs. (12000 + 8000) = Rs. 20000.  
 
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40.
Find the simple on Rs. 2500 ar 25% for 3 1  yrs  
2  
  • A.
    2187.5
  • C.
    2817.5
  • B.
    2187.6
  • D.
    2187.3
  • Answer & Explanation
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Answer : [A]
Explanation :
 
SI = PRT = 2500 x 25 x 7  = Rs. 2187.5  
100 100 2  
 
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