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16.
The principal that will yield Rs. 60 as simple interest at 6% per annum in 5 years is
  • A.
    Rs. 175
  • C.
    Rs. 200
  • B.
    Rs. 350
  • D.
    None of these
  • Answer & Explanation
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Answer : [C]
Explanation :
 
Here, I = Rs. 60, R = 6% per annum, T = 5 years.
 
 
 Principal (P) = 100 x I = 100 x 60  = Rs. 200    
R x T 6 x 5    
 
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17.
Mr. Mani invested an amount of Rs. 12000 at the simple interest rate of 10% per annum and another amount at the simple interest rate of 20% per annum. The total interest earned at the end of one year on the total amount invested became 14% per annum. Find the total amount invested.
  • A.
    Rs. 20000
  • C.
    Rs. 21000
  • B.
    Rs. 20800
  • D.
    None of these
  • Answer & Explanation
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Answer : [A]
Explanation :
 
Here, P1 = Rs. 12000, R1 = 10%, P2 = ?, R2 = 20%, R = 14%
 
Therefore, using the formula
 
  R = P1R1 + P2R2      
  P1 + P2      
 
 We get, 14 = 12000 x 10 + P2 x 20  
12000 + p2  
 
 or, P2 = Rs. 8000
 
 Total amount invested = Rs.(12000 + 8000) = Rs. 20000  
 
 
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18.
The rate percent per annum at which Rs. 1200 amount to Rs. 1440 in 4 years, is
  • A.
    5%
  • C.
    6%
  • B.
    4%
  • D.
    None of these
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Answer : [A]
Explanation :
 
We have, P = Rs. 1200, T = 4 years,  I = 1440-1200 = Rs. 240
 
 
 Rate (R) = 100 x I = 100 x 240  = 5% p.a.  
P x T 1200 x 4  
 
 
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19.
A lent Rs. 5000 to B for 2 years and Rs. 3000 to C for 4 years on simple interest at the same rate of interest and received Rs. 2200 in all from both of them as interest. The rate of interest per annum is :
  • A.
    5%
  • C.
    7
    1 %  
    8  
  • B.
    7%
  • D.
    10%
  • Answer & Explanation
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Answer : [D]
Explanation :
 
Let the rate be R% p.a. Then,   5000 x R x 2   +   3000 x R x 4    = 2200  
100 100  
 
 
 100R + 120R = 2200    
   
 
 
 R =   2200    = 10.    
220    
 
   Rate = 10%  
 
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20.
Nitin borrowed some money at the rate of 6% per annum for the first three years, 9% per annum for the next five years and 13% per annum for the period beyond eight years. If the total interest paid by him at the end of eleven years is Rs. 8160, how much money did he borrow?
  • A.
    Rs. 8000
  • C.
    Rs. 12,000
  • E.
    None of these
  • B.
    Rs. 10,000
  • D.
    Data inadequate
  • Answer & Explanation
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Answer : [A]
Explanation :
 
Let the sum be Rs. X. Then,
 
x x 6 x 3 + x x 9 x 5 + x x 13 x 3  = 8160  
100 100 100  
 
  18x + 45x + 39x = (8160 x 100)  
 
  102x = 816000  
 
  x = 8000.  
 
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