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1.
Praveen purchases toffees at Rs. 10 per dozen and sells then at Rs. 12 for every 10 toffees: Find the gain(or) loss percentage.
  • A.
    52
  • C.
    41
  • B.
    36
  • D.
    44
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Answer : [D]
Explanation :
Cost Price = Rs. 10/12, Selling Price = Rs. 12/10
SP
CP
=
144
100
 = 1.44    
So, profit percentage = 44 per cent
Alternative method:
Assume that he buys 120 toffees.
Praveen spends Rs. 100
Revenue generated = Rs. 144
Hence, profit percentage = 44 per cent
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2.
A trader purchased 15 articles. He sold some of them to a first customer at a gain of 4% and the remaining to another customer at a gain of 7%. If he gains 5% on the whole, how many articles did he sell to first customer?
  • A.
    7
  • C.
    10
  • B.
    9
  • D.
    13
  • Answer & Explanation
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Answer : [C]
Explanation :
Let the trader have sold x articles to the first customer at 4% gain.
 
  He sold (15 – x) articles to second customer at 7% gain  
 
  4% of x + 7% of (15 – x) = 5% of 15
 
 
  x = 10  
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3.
A manufacturer sells an article to a wholesale dealer at a profit of 20% and the wholesale dealer sells it to a retail merchant at a loss of 5%. Find the resultant profit or loss.
  • A.
    14% loss
  • C.
    12% gain
  • B.
    14% gain
  • D.
    None of these
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Answer : [B]
Explanation :
Here, m = -20, n = -5
 
 
  Resultant profit or loss% =   m + n +
mn
100
         
  20 - 5 +
20x - 5
100
   = 14%    
  Which represents profit as the sign is positive  
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4.
Mr. Krishnan purchases eggs at the rate of Rs. 100 per gross and sells them at the rate of Rs. 75 per hundred. What is his profit percentage?
  • A.
    4%
  • C.
    1.8%
  • B.
    3.5
  • D.
    2
  • Answer & Explanation
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Answer : [D]
Explanation :
Cost Price = Rs. 100 for 144 = Rs. (100/144) per egg
Selling Price = Rs. 75 for 100 = Rs. (75/100) each.
SP
CP
=
75
100
=
144
100
 = 1.08
Hence, Profit percentage = 8%
This is also a fast approach to solving these problems.
Say if the SP is 0.98 times CP it implies that the loss is 2%
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5.
A machine is sold at a profit of 10%. Had it been sold for Rs 40 less, there would have been a loss of 10%. What was the cost price?
  • A.
    Rs 175
  • C.
    Rs 225
  • B.
    Rs 200
  • D.
    Rs 250
  • Answer & Explanation
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Answer : [B]
Explanation :
Let the C.P. be Rs k
 
 
  S.P. = k + 10% of k =
11k
10
 
 
 
  k - 10% of k =
11k
10
 - 40
 
 
 
9k
10
=
11k
10
 - 40
 
 
 
2k
10
 = 40
 
 
  k = 200
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