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41.
Divide Rs. 3903 between A and B, so that A's Share at the end of 7 years may equal to B's share at the end of 9 years, compound interest being at 4 percent.
  • A.
    Rs. 2028, Rs. 1875
  • C.
    Rs. 2008, Rs. 1895
  • B.
    Rs. 2018, Rs. 1885
  • D.
    Rs. 2038, Rs. 1865
  • Answer & Explanation
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Answer : [A]
Explanation :
 
We have (A's present share) 1 + 4 7  = (B's present share) 1 + 4 9        
100 100        
 
 
 
  A's present share = 1 + 4 2  
B's present share 100  
 
  = 26 2 = 676    
25 625    
 
  Dividing Rs. 3903 in the ratio of 676:625  
 
 
 
  A's present share = 676  of Rs. 3903
(676+625)
 
 

=

Rs. 2028
 
  B's present share  = Rs. 3903 - Rs. 2028  
 
 

=

Rs. 1875
 
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42.
A sum is invested for 3 years compounded at 5%, 10% and 20 % respectively. In three years, if the sum amounts to Rs. 16,632, then find the sum.
  • A.
    Rs. 11000
  • C.
    Rs. 13000
  • B.
    Rs. 12000
  • D.
    Rs. 14000
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Answer : [B]
Explanation :
 
  Let P be the sum.  
 
 
Amount after one year = P + 5% of P = 21P  
20  
 
  Amount after two years = 21P  + 10% of 21P        
20 20        
 
  21P  + 21P = 231P    
20 20 200    
 
  Amount after threee years  
 
    = 231P  + 20% of 231P  
    200 200  
 
    = 231P  + 231P = 1386P    
    200 200 1000    
 
 
 
  1386P  = 16632
 
 P = 12000.    
    200    
 
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43.
The difference in compound interest and simple interest, on a certain amount at 10% per annum at the end of third year is Rs. 620. What is the principal amount?
  • A.
    Rs. 40,000
  • C.
    Rs. 10,000
  • B.
    Rs. 1,20,000
  • D.
    Rs. 20,000
  • Answer & Explanation
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Answer : [D]
Explanation :
 
  For three years   
 
  Sum = x x (100)3  
r2(300 + r)  
 
  620 x (100)3  
102 (300 + 10)  
 
  Rs. 20,000
 
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44.
Some money was lent on 4% C.I. If the difference in interest of second and the first year is Rs. 88, find out the sum.
  • A.
    Rs. 50,000
  • C.
    Rs. 65,000
  • E.
    None of these
  • B.
    Rs. 60,000
  • D.
    Rs. 55,000
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Answer : [D]
Explanation :
 
Interest on Rs. 100 for the year = Rs. 4
 
Interest on Rs. 100 for the second year
 
   = 100  
  1 + 4   2 - 1
100
   - 4    
     
 
   = Rs. 4.16  
 
Now if Rs. 4.16 - Rs. 4 = Rs. 0.16 is the difference then principal = Rs. 100
 
Now if Rs. 88 is the difference then principal = 100 x 88  = Rs. 55,000      
16      
 
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45.
Akash borrows Rs 65,000 at 10% per annum simple interest for 3 years and lends it at 10% per annum compound interest for 3 years. Find his gain after three year.
  • A.
    Rs. 2015
  • C.
    Rs. 1300
  • B.
    Rs. 1330
  • D.
    None of these
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Answer : [A]
Explanation :
 
  S.I. on Rs 65000 @ 10% for years  
 
  = 65000 x 10 x 3  = Rs 19500      
100      
 
  C.I. on Rs 65000 @ 10% for 3 years  
 
  = 65000  
1 + 10
100
  3 - 65000      
 
  = 65000  
11 x 11 x 11 -10 x 10 x 10
1000
       
 
  = Rs. 21515  
 
      Required gain = 21515 19500 = Rs. 2015.
 
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