Question types

Percentage question types

225 questions across 9 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.

225
Questions
9
Question groups
5
Question types
Sample Questions

Percentage questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Mark $(\checkmark)$ against the correct answer in the following: In an examination it is required to get $36\%$ to pass. A student gets $160$ marks and fails by $20$ marks. The maximum marks are:
  • A
    $400$
  • B
    $450$
  • $500$
  • D
    $600$

Answer: C.

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Assertion (A): If $X$'s income is $25 \%$ more than $Y$'s income then $Y$'s income is $20 \%$ less than X's income.
Reason (R): If Y's income is $25 \%$ less than X's income then X's income is $20 \%$ more than $Y$'s income.
  • A
    Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
  • B
    Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
  • Assertion (A) is true but Reason (R) is false.
  • D
    Assertion (A) is false but Reason (R) is truе.

Answer: C.

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Assertion (A): 36 minutes expressed as a percentage of a day is $2.5 \%$.
Reason (R): There are 1440 minutes in a day.
  • Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
  • B
    Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
  • C
    Assertion (A) is true but Reason (R) is false.
  • D
    Assertion (A) is false but Reason (R) is truе.

Answer: A.

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Assertion (A): $100 \%=1$
Reason (R): $100 \%$ of $3.5=35$
  • A
    Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
  • B
    Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
  • Assertion (A) is true but Reason (R) is false.
  • D
    Assertion (A) is false but Reason (R) is truе.

Answer: C.

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Assertion (A): $\frac{3}{25}=12 \%$.
Reason (R): To convert a fraction into a percentage, we multiply the fraction by 100 and put the per cent sign $\%$.
  • Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
  • B
    Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
  • C
    Assertion (A) is true but Reason (R) is false.
  • D
    Assertion (A) is false but Reason (R) is truе.

Answer: A.

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Mark $(\checkmark)$ against the correct answer in the following: A number decreased by $8\%$ gives $69$. The number is:
  • A
    $80$
  • $75$
  • C
    $85$
  • D
    None of these.

Answer: B.

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Salima was very happy because it was Eid. Everyone in her family put a few coins in her bag. She now had 30 one-rupee coins, 25 two-rupee coins, 15 five-rupee coins and 5 ten-rupee coins in her bag.
Q.1. The number of five-rupee coins is what per cent of the total number of coins in the bag?
(a) 5%$\quad$(b) 10%$\quad$(c) 15%$\quad$(d) 20%
Q.2. The value of two-rupee coins is what per cent of the total value of coins in the bag?
(a) $16 \frac{11}{36} \%$$\quad$(b) $24 \frac{16}{41} \%$$\quad$(c) $17 \frac{12}{37} \%$$\quad$(d) $21 \frac{9}{17} \%$
Q.3. The number of five-rupee coins is what per cent less than that of two-rupee coins?
(a) 60%$\quad$(b) 40%$\quad$(c) 50%$\quad$(d) 75%
Q.4. The value of five-rupee coins is what per cent more than that of two-rupee coins?
(a) 50%$\quad$(b) 40%$\quad$(c) $33 \frac{1}{3} \%$$\quad$(d) $66 \frac{2}{3} \%$
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Anup was in the chemistry laboratory working on an experiment. He mixed three salts X, Y and Z taking 150 g each of salts X and Y and 200 g of salt Z to prepare a mixture A.
Q.1. The percentage of salt X in mixture A is 
(a) 50%$\quad$(b) 40%$\quad$(c) 30%$\quad$(d) 25%
Q.2. By what per cent is salt Z more than salt X in mixture A?
(a) 25%$\quad$(b) $33 \frac{1}{3} \%$$\quad$(c) $42 \frac{1}{2} \%$$\quad$(d) 40%
Q.3. Anup added 100 g of salt Y to mixture A to prepare a new mixture B. By what per cent did salt Y increase?
(a) $66 \frac{2}{3} \%$$\quad$(b) 50%$\quad$(c) 40%$\quad$(d) $33 \frac{1}{3} \%$
Q.4. What is the percentage of salt Z in mixture B? 
(a) $33 \frac{1}{3} \%$$\quad$(b) 40%$\quad$(c) $66 \frac{2}{3} \%$$\quad$(d) 50%
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Q 373 Marks Question3 Marks
Chalk contains $3\%$ of carbon, $10\%$ of calcium and $12\%$ of oxygen. Find the amount of grams of each of these substances in $1\ kg$ of chalk.
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