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6.
In measuring the sides of a rectangle, one side is taken 10% in excess and the other 20% in deficit. Find the error per cent in area calculated from the measurement.
  • A.
    12% deficit
  • C.
    12% excess
  • B.
    10% deficit
  • D.
    None of these
  • Answer & Explanation
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Answer : [A]
Explanation :
Since side1 x side2 = area
 
  Error % in area =   x + y +
xy
100
%      
  =   10 - 20 -
10 x 20
100
%      
  [Here, x = 10 and y = -20]      
  = -12%, i.e., 12% defict      
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7.
Ram’s weight is 140% of Manu's weight. Tanu's weight is 90% of Mahesh's weight. Mahesh weighs twice as much as Manu. What percentage of Aseem's weight is Tan's weight?
  • A.
    64.3%
  • C.
    90%
  • B.
    77.8%
  • D.
    128.6%
  • Answer & Explanation
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Answer : [B]
Explanation :
If the weight of Manu is 50 kg them Ram's weight will be 70 kg. So, Mahesh's weight is 100 kg and Tanu's weight is 90 kg. Hence, percentage of Ram's weight to Tanu's weight
    =
70
90
 x 100 = 77.8%  
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8.
A number x is 125% of y. To comute y, the number x has to be multiplied by
  • A.
    0.08
  • C.
    0.8
  • B.
    0.4
  • D.
    None of these
  • Answer & Explanation
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Answer : [C]
Explanation :
We have, x = 125% of y
 
  x =
125
100
 y  
 
  x =
5
4
 y  
  or,     y =
5
4
 x  
  = 0.8x  
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9.
A shopkeeper has certain number of eggs of which 5% are found to be broken. He sells 93% of the remainder and still has 266 eggs left. How many eggs did he originally have?
  • A.
    3,800
  • C.
    6.5
  • B.
    4,000
  • D.
    None of these
  • Answer & Explanation
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Answer : [B]
Explanation :
Suppose the shopkeeper had x eggs, originally
  Number of broken eggs = 5% of x =
x
20
   
  Balance = x -
x
20
 =
19x
20
 
 
 
  7% of
19x
20
 = 266    
 
 
  x = 4,000    
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10.
A number is increased by 20% and then decreased by 20%, the final value of the number.
  • A.
    does not change
  • C.
    increases by 2%
  • B.
    decreases by 2%
  • D.
    decreases by 4%
  • Answer & Explanation
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Answer : [D]
Explanation :
Here, x = 20 and y = - 20
 
 
  The net % change in value  
  =   x + y +
xy
100
 %  
  =   20 - 20 -
20 x 20
100
% or -4%  
Since the sign is negative, there is decrease in value by 4%
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