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CAT Questions – Percentages [VIDEO Solutions]

QUESTION 1
A shopkeeper gives a discount of 20% on an article and still manages to get 20% profit. What could be the maximum discount (in %) he can afford to give so that he does not incur any loss.
  1. 40%
  2. 33.33%
  3. 27%
  4. 25%
Option: 2
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QUESTION 2
If the price of sugar is increased by 20%, Nishant can buy 25 kg of sugar. If the price of sugar is decreased by 20%, how much amount (in kg) of sugar Nishant can now buy with the same amount as earlier.
  1. 35
  2. \(37.5\)
  3. \(32.5\)
  4. None of these
Option: 2
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QUESTION 3
In a class the number of girls is 40% of the class. If two girls leave and two boys arrive, then 30% of the class are girls. How many girls were initially in the group?
Answer: 8
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QUESTION 4
A fruit-seller bought a certain number of apples at Rs.1 for 6 apples and same number of another type of apples at Rs.1 for 8 apples.He sold all the apples at Rs.3 for 10 apples.What was his profit/loss percentage?
  1. loss of 105.71%
  2. profit of 110%
  3. profit of 105.71%
  4. loss of 110%
Option: 3
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QUESTION 5
Brijesh sold his goods to Rakesh at a profit of 10%. Rakesh sold the goods to Harish at a profit of 20%. Brijesh then bought the goods from Harish where Harish made a profit of 30%. What is the percentage loss Brijesh incurred on the cost price of the goods?
  1. 71.6%
  2. 61.6%
  3. 51.6%
  4. 50%
Option: 2
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