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56.
A person invested in all Rs. 2600 at 4%, 6% and 8% per annum simple interest. At the end of the year, he got the same interest in all three cases. The money invested at 4% is:
  • A.
    Rs. 200
  • C.
    Rs. 800
  • B.
    Rs. 600
  • D.
    Rs. 1200
  • Answer & Explanation
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Answer : [D]
Explanation :
 
Let the parts be x, y and [2600 (x + y)]. Then,
 
x x 4 x 1
100
=
y x 6 x 1
100
=
[2600 - (x + y)] x 8 x 1
100
 
 
 
 
y
x
=
4
6
=
2
3
 or y =
2
3
 x  
 
So,
x x 4 x 1
100
=
  2600 -
5
3
 x    x 8
100
       
 
 
  4x =
(7800 - 5x) x 8
3
   
 
 
  52x = (7800 x 8)      
 
 
  x =  
7800 x 8
52
   = 1200  
 
 
  Money invested at 4% = Rs. 1200.      
 
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57.
A sum of money lent at C.I. annually gives Rs. 250 and Rs. 300 as interest in the first and the 2nd year. Find the rate of interest.
  • A.
    10%
  • C.
    15%
  • B.
    20%
  • D.
    18%
  • Answer & Explanation
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Answer : [B]
Explanation :
 
Interest for Rs. 250 for one year = Rs. 50
 
 

Interest for Rs. 100 for one year =

50 x 100  = 20%  
250  
 
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58.
Mr. Thomas invested an amount of Rs. 13,900 divided in two different schemes A and B at the simple interest rate of 14% p.a. and 11% p.a. respectively. If the total amount of simple interest earned in 2 years be Rs. 3508, what was the amount invested in scheme B?
  • A.
    Rs. 6400
  • C.
    Rs. 7200
  • E.
    None of these
  • B.
    Rs. 6500
  • D.
    Rs. 7500
  • Answer & Explanation
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Answer : [A]
Explanation :
 
Let the sum invested in Scheme A be Rs. x and that in Scheme B be Rs. (13900 x).
 
Then,  
x x 14 x 2
100
  +  
(13900 - x) x 11 x 2
100
   = 3508  
 
 
  28x - 22x = 350800 - (13900 x 22)  
 
 
  6x = 45000  
 
 
  x = 7500  
 
So, sum invested in Scheme B = Rs. (13900 7500) = Rs. 6400.
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59.
A sum of Rs. 1550 was lent partly at 5% and partly at 8% p.a. simple interest. The total interest received after 3 years was Rs. 300. The ratio of the money lent at 5% to that lent at 8% is:
  • A.
    5 : 8
  • C.
    16 : 15
  • B.
    8 : 5
  • D.
    31 : 6
  • Answer & Explanation
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Answer : [C]
Explanation :
 
Let the sum lent at 5% be Rs. x and that lent at 8% be Rs. (1550 x). Then,
 
Then,  
x x 5 x 3
100
  +  
(1550 - x) x 8 x 3
100
   = 300  
 
 
  15x - 24x + (1550 x 24) = 30000  
 
 
  9x = 7200  
 
 
  x = 800  
 
 
  Required ratio = 800 : 750 = 16 : 15  
 
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60.
David invested certain amount in three different schemes A, B and C with the rate of interest 10% p.a., 12% p.a. and 15% p.a. respectively. If the total interest accrued in one year was Rs. 3200 and the amount invested in Scheme C was 150% of the amount invested in Scheme A and 240% of the amount invested in Scheme B, what was the amount invested in Scheme B?
  • A.
    Rs. 5000
  • C.
    Rs. 8000
  • E.
    None of these
  • B.
    Rs. 6500
  • D.
    Cannot be determined
  • Answer & Explanation
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Answer : [A]
Explanation :
 
Let x, y and z be the amounts invested in schemes A, B and C respectively. Then,
 
 
x x 10 x 1
100
  +  
y x 12 x 1
100
  +  
z x 15 x 1
100
    = 3200    
 
 
  10x + 12y + 15z = 320000 ...(i)    
 
Now, z = 240% of y =
12
5
 y ...(ii)  
 
And, z = 150% of x =
3
2
 x
 
x =
2
3
 z =  
2
3
x
12
5
   y =
8
5
 y ...(iii)    
 
From (i), (ii) and (iii), we have :
 
 
  16y + 12y + 36y = 320000  
 
 
  64y = 320000  
 
 
  y = 5000  
 
 
  Sum invested in Scheme B = Rs. 5000.  
 
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