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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

  • 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}

  • 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

  • 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%

  • 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}

  • 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

  • 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}