Sample QuestionsPercentage questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
Tick $(\checkmark)$ the correct answer in the following: A number is first increased by $10\%$ and then reduced by $10\%.$ The number.
- A
- ✓
Decrease by $1\%$
- C
Increases by $1\%$
- D
Answer: B.
View full solution →$(?)\%$ of $320$ is $48?$
- A
$25\%$
- ✓
$15\%$
- C
$14\%$
- D
$9\%$
Answer: B.
View full solution →Tick $(\checkmark)$ the correct answer in the following: A period of $4$ hours $30$min is what percent of a day$?$
- ✓
$18\frac{3}{4}\%$
- B
$20\%$
- C
$16\frac{2}{3}\%$
- D
$19\%$
Answer: A.
View full solution →Tick $(\checkmark)$ the correct answer in the following:$x \%$ of $y$ is $y \%$ of$?$
- ✓
$x$
- B
$100x$
- C
$\frac{\text{x}}{100}$
- D
$\frac{\text{y}}{100}$
Answer: A.
View full solution →Tick $(\checkmark)$ the correct answer in the following: $0.8\%$ when erpressed as a decimal, is.
- A
$0.08$
- ✓
$0.008$
- C
$8$
- D
$0.8$
Answer: B.
View full solution →Assertion (A): If the price of petrol increases from ₹ 90 per litre to $₹ 100$ per litre, there is a $11 \frac{1}{9} \%$ increase.
Reason (R): $10 \%$ increase means increase of 10 units on the base value of 100 units.
Answer: B.
View full solution →Assertion (A): A man's salary is first increased by $10 \%$ and then decreased by $10 \%$. Thus, his final salary remains the same as his initial salary.
Reason (R): $x$ increased by $10 \%$ becomes ( $110 \%$ of $x$ ) while $x$ decreased by $10 \%$ becomes $(90 \%$ of $x)$.
Answer: D.
View full solution →Assertion (A): If a worker completes $\frac{5}{8}$ of the work then $37 \frac{1}{2} \%$ of the work is still pending.
Reason (R): $\frac{3}{8}$ is equivalent to $37 \frac{1}{2} \%$.
Answer: A.
View full solution →Assertion (A): 2500 is greater than 500 by $500 \%$.
Reason (R): Increase $\%=\frac{\text { increase in value }}{\text { original value }} \times 100$
Answer: D.
View full solution →Assertion (A): $40 \%$ of $20 \%$ of $x$ is the same as $8 \%$ of $x$.
Reason (R): $a \%$ of $b \%$ of $x=b \%$ of $a \%$ of $x$.
Answer: B.
View full solution →Balanced diet should contain $12\%$ of proteins, $25\%$ of fats and $63\%$ of carbohydrates. If a child needs $2600$ calories in his food daily, find in calories the amount of each of these in his daily food intake.
View full solution →An alloy contains $40\%$ copper, $32\%$ nickel and rest zinc. Find the mass of zinc in one kg of the alloy.
View full solution →Which is largest in $6\frac{2}{3}\%,\frac{3}{20}$ and $0.14?$
View full solution →If $16\%$ of a number is $72,$ find the number.
View full solution →Express: $4 : 5$ as a percentage:
View full solution →A's income is $20\%$ less than that of $B.$ By what percent is $B's$ income more than $A's?$
View full solution →If $34\%$ of a number is $85,$ find the number.
View full solution →An alloy contains $30\%$ copper, $42\%$ nickel and rest zinc. Find the mass of zinc in $1\ kg$ of alloy.
View full solution →In a class, $60\%$ of the total number of students are boys and there are $14$ girls. How many students are there in the class$?$
View full solution →The price of petrol goes up by $10\%.$ By how much percent must a motorist reduce the consumption of petrol so that the expenditure on it remains unchanged?
View full solution →Gunpowder contains $75\%$ nitre and $10\%$ sulphur. Find the amount of gunpowder which carries $9\ kg$ nitre. What amount of gunpowder would contain $2.5\ kg$ sulphur$?$
View full solution →Divide $Rs. 7000$ among $A, B$ and $C$ such that $A$ gets $50\%$ of what $B$ gets and $B$ gets $50\%$ of what C gets.
View full solution →Out of the total population of a town, $60 \%$ are males and the rest are females. $20 \%$ of the males and $25 \%$ of the females are illiterate. $85 \%$ of the males and $60 \%$ of the females are employed.
(1) What percentage of the total population is illiterate?
(a) $22 \%$$\quad$(b) $28 \%$$\quad$(c) $35 \%$$\quad$(d) $45 \%$
(2) What is the ratio of the number of literate males to that of illiterate females?
(a) $16: 5$$\quad$(b) $4: 5$$\quad$(c) $24: 5$$\quad$(d) $12: 5$
(3) What percentage of the total population is unemployed?
(a) $25 \%$$\quad$(b) $28 \%$$\quad$(c) $35 \%$$\quad$(d) $45 \%$
(4) What is the ratio of the number of employed males to that of employed females?
(a) $17: 12$$\quad$(b) $8: 3$$\quad$(c) $16: 15$$\quad$(d) $17: 8$
View full solution →During a survey, it was found that an average urban Indian uses about 150 litres of water every day, as per the following activity-wise break up.| Activity | Litres per person per day |
| Drinking | 3 |
| Cooking | 4 |
| Bathing | 25 |
| Sanitation | 40 |
| Washing clothes | 40 |
| Washing utensils | 20 |
| Gardening | 18 |
(1) What per cent of water is used for bathing and sanitation together per day?
(a) $40 \%$$\quad$(b) $43 \frac{1}{3} \%$$\quad$(c) $53 \frac{1}{3} \%$$\quad$(d) $65 \%$
(2) How much less per cent of water is used for cooking in comparison to that used for bathing?
(a) $17 \%$$\quad$(b) $34 \%$$\quad$(c) $51 \%$$\quad$(d) $84 \%$
(3) How much more per cent of water is used for washing activities in comparison to that used for gardening?
(a) $133 \frac{1}{3} \%$$\quad$
(b) $200 \%$$\quad$
(c) $233 \frac{1}{3} \%$$\quad$
(d) $183 \frac{1}{3} \%$
(4) What per cent of water is used for drinking, cooking and gardening together?
(a) $16 \frac{2}{3} \%$$\quad$(b) $18 \frac{1}{3} \%$$\quad$(c) $20 \%$$\quad$(d) $25 \%$ View full solution →Express the following as a decimal:
$6\%$
View full solution →Express the following as a percentage: $\frac{12}{5}$
View full solution →Express the following as a fraction: $2.5\%$
View full solution →Express the following as a decimal: $125\%$
View full solution → Express the following as a percentage:
$\frac{3}{125}$
View full solution →$7\frac{1}{2}\%$ of $Rs. 1200 =$ _____.
View full solution →