Percentage Questions Answers

• 22. How many litres of pure acid are there in 8 litres of a 20% solution

  1. 1.5
  2. 1.6
  3. 1.7
  4. 1.8

  Answer And Explanation

  Answer: Option B

  Explanation:

  Question of this type looks a bit typical, but it is too simple, as below...
  
  It will be 8 * 20/100 = 1.6

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• 23. A housewife saved Rs. 2.50 in buying an item on sale. If she spent Rs. 25 for the item, approximately how much percent she saved in the transaction

  1. 9%
  2. 10%
  3. 11%
  4. 12%

  Answer And Explanation

  Answer: Option A

  Explanation:

  Actual Price = Rs.25 + Rs.2.50 = Rs.27.5
  
  Saving = Rs.2.5
  
  

  $$\begin{aligned}\text{Percentage Saving = }\dfrac{2.5}{27.5}\times 100 \\ = \dfrac{250}{27.5} = \dfrac{2500}{275}\\ = \dfrac{100}{11} = 9\dfrac{1}{11}\% \approx 9\%\end{aligned}$$

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• 24. If number x is 10% less than another number y and y is 10% more than 125, then find out the value of x

  1. 123.55
  2. 123.65
  3. 123.75
  4. 123.85

  Answer And Explanation

  Answer: Option C

  Explanation:

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• 25. Raman's salary was decreased by 50% and subsequently increased by 50%. How much percent does he loss.

  1. 75
  2. 65
  3. 45
  4. 25

  Answer And Explanation

  Answer: Option D

  Explanation:

  Let the origianl salary = Rs. 100
  
  It will be 150% of (50% of 100)
  = (150/100) * (50/100) * 100 = 75
  
  So New salary is 75, It means his loss is 25%

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• 26. A student multiplied a number by 3/5 instead of 5/3. What is the percentage error.

  1. 64%
  2. 65%
  3. 66%
  4. 67%

  Answer And Explanation

  Answer: Option A

  Explanation:

  Let the number be x,
  then,
  

  $$\begin{aligned} \frac{5}{3} - \frac{3}{5} = \frac{16}{15}x \end{aligned}$$
  
  Error% = $$\begin{aligned} (\frac{16}{15}x * \frac{3}{5} * 100)% = 64% \end{aligned}$$

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• 27. If x% of y is 100 and y% of z is 200, then find the relation between x and z.

  1. z = x
  2. 2z = x
  3. z = 2x
  4. None of above

  Answer And Explanation

  Answer: Option C

  Explanation:

  It is , y% of z = 2(x% of y)
  => yz/100 = 2xy/100
  => z = 2x

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• 28. Total number of boys and girls in a school is 150. If the number of boys is x, then girls become x% of the total number of students. The number of boys is

  1. 50
  2. 60
  3. 70
  4. 80

  Answer And Explanation

  Answer: Option B

  Explanation:

  Clearly,
  x% of 150 = 150 - x [as x is number of boys]
  
  

  $$\begin{aligned} => x + \frac{x}{100} * 150 = 150 \\ => \frac{5}{2}x = 150 \\ => x = 60 \\ \end{aligned}$$

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