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11.
A person has some amount with him. 25% of it is stolen in a bus, 10% is lost through a hole in the pocket. 50% of remainder is spent on food. He then purchases a book worth Rs. 26 from the remainder. He walks back home because all his money is over. What was the initial amount?
  • A.
    Rs. 160
  • C.
    Rs. 90
  • B.
    Rs. 1230
  • D.
    Rs. 80
  • Answer & Explanation
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Answer : [D]
Explanation :
Let total money be Rs x
Then, x = 0.25x + 0.1x + 0.5[1 - 0.25 - 0.1]x + 26
 
  x = Rs. 80  
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12.
A businessman’s earning increases by 25% in one year but decreases by 4% in the next. After 5 years his total earnings would be Rs. 72,000. What is his present earning?
  • A.
    Rs. 10,000
  • C.
    Rs. 40,000
  • B.
    Rs. 80,000
  • D.
    Rs. 54,000
  • Answer & Explanation
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Answer : [C]
Explanation :
The business man's earning after five years = Rs. 72,000
Let his earnings be Rs. 100
  After 1st year   125 (25% increase)
  After 2nd year   120 (4% decrease)
  After 3rd year   150 (25% increase)
  After 4th year   144 (4% decrease)
  After 5th year   180 (25% increase)
 
  Earning today =
100
180
 x 72,000 = Rs 40,000  
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13.
An army lost 10% of its men in war, 10% of the remaining due to diseases and 10% of the rest were disabled. This, the strength was reduced to 7,29,000 active men. Find the original strength.
  • A.
    10,00,000
  • C.
    15,00,000
  • B.
    12,00,000
  • D.
    None of these
  • Answer & Explanation
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Answer : [A]
Explanation :
Let A be the original strength
  Then, A   1 +
x
100
      1 +
y
100
      1 +
z
100
   = 729000  (Given)          
  Here, x = -10, y = -10 and z = -10  
 
 
  A   1 -
10
100
      1 -
10
100
      1 -
10
100
   = 729000             
 
  A =
729000 x 100 x 100 x 100
90 x 90 x 90
 = 10,00,000 men  
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14.
Ramesh purchased an office bag with a price tag of Rs. 600 in a sale where 25% discount was being offered on the tag price. He was given a further discount of 10% on the amount arrived at after giving usual 25% discount . What was the final amount paid by Ramesh?
  • A.
    Rs. 210
  • C.
    Rs. 405
  • B.
    Rs. 540
  • D.
    Rs. 450
  • Answer & Explanation
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Answer : [C]
Explanation :
600 - 25% of 600 = 450
450 - 10% of 450 = 405
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15.
Of the total number of candidates in an examination 40% fail in first subject, of the rest 10% fail in the second and of those that pass in these two subjects, only 75% pass in the remaining subject. The number of unsuccessful candidates exceeds that of the successful ones by 570. What is the total number of candidates?
  • A.
    2,800
  • C.
    3,000
  • B.
    8,400
  • D.
    1,200
  • Answer & Explanation
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Answer : [C]
Explanation :
Let the total number of students = x
Number of students failing in the first subject = 40% of x
Number of students failing in the second subject = 10% of rest = 10%(60%) of x = 6% of x
Therefore, total number of students failing in both the subjects = (40 + 6)% of x = 46% of x ....(i)
Therefore, students passing in two subjects = 54% of x
The students passing in remaining subject = 75%(54% of x) =
81
2
% of x      
Hence students failing in remaining subject =   54 -
81
2
  % of x =
27
2
% of x ....(ii)    
Therefore, total number of students failing in all the subjects (equation (i) + (ii))
  =   46 +
27
2
  %x =
119
2
% of x    
Number of students failing – Number of students passing = 570 (Given)
  ie.,  
119
2
-
81
2
  %x = 570    
 
  19% of x = 570  
 
  Thus, x =
570 x 100
19
 = 3000  
Hence, the total number of students are 3,000
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