Sample QuestionsComparing Quantities 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:
On selling a jug for Rs. $144,$ a man loses $\frac{1}{2}$ of his outlay. If it is sold for Rs. $189,$ what is the gain percent:
- ✓
$12.5\%$
- B
$25\%$
- C
$30\%$
- D
$50\%$
Answer: A.
View full solution →The car that I own can go $150\ km$ with $25$ litres of petrol. How far can it go with $30$ litres of petrol?
- A
$210\ km$
- ✓
$180\ km$
- C
$200\ km$
- D
Answer: B.
View full solution →The boys and girls in a school are in the ratio $9 : 5$. If the number of girls is $320$, then the total strength of the school is:
Answer: B.
View full solution →Mark $(\checkmark)$ against the correct answer in the following:
A borrows $Rs. 8000 $ at $12\% $ per annum simple interest and B borrows $Rs. 9100 $ at $10\% $ per annum simple interest. In how many years will their amounts be equal?
- A
$18 $ years
- B
$20 $ years
- ✓
$22 $ years
- D
$24 $ years
Answer: C.
View full solution →The ratio of $20$ days to $72$ hours is.
- A
$2 : 1$
- B
$3 : 20$
- C
$4 : 5$
- ✓
$20 : 3$
Answer: D.
View full solution →Directions:In the following questions, the Assertions $(A)$ and Reason$(s)$ $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: $(A)$ –A shopkeeper purchased $2$ refrigerators for $Rs\ 9800$ and $Rs\ 8200$ respectively. He sold them for $Rs\ 16920$. Loss$ \% = 6\%$
Reasons: $(R)$ –Loss percentage refers to the amount of loss incurred which is expressed or calculated in percentage
- ✓
Both $A$ and $R$ are true and $R$ is the correct explanation of $A$.
- B
Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$.
- C
$A$ is true but $R$ is false.
- D
$A$ is false but $R$ is true.
Answer: A.
View full solution →Directions:In the following questions, the Assertions $(A)$ and Reason$(s)$ $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion:If Selling Price > Cost Price ; then you have a Profit and the difference between the prices is called the profit. Reason:Selling Price< Cost Price ; then you have a loss and the difference between the prices is called the loss.
- ✓
Both assertion and reason are correct and reason is the correct explanation for assertion.
- B
Both assertion and reason are correct but reason is not correct explanation for assertion.
- C
Assertion is correct but reason is false.
- D
Both assertion and reason are false.
Answer: A.
View full solution →Directions: In the following questions, the Assertions $(A)$ and Reason$(s)$ $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: Interest is the amount of money paid for a loan or an investment.
Reason: The principal is the amount of money borrowed or invested.
- A
Both assertion and reason are correct and reason is the correct explanation for assertion.
- ✓
Both assertion and reason are correct but reason is not correct explanation for assertion.
- C
Assertion is correct but reason is false.
- D
Both assertion and reason are false.
Answer: B.
View full solution →Directions: In the following questions, the Assertions $(A)$ and Reason$(s)$ $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: When the selling price exceeds the cost price in a transaction, we have made a profit (gain).
Reason: Profit=sellingprice–costprice.
- ✓
Both assertion and reason are correct and reason is the correct explanation for assertion.
- B
Both assertion and reason are correct but reason is not correct explanation for assertion.
- C
Assertion is correct but reason is false.
- D
Both assertion and reason are false.
Answer: A.
View full solution →Directions: In the following questions, the Assertions $(A)$ and Reason$(s)$ $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: Ratio can be defined as the relationship or comparison between two numbers of the same unit to check how bigger is one number than the other one.
Reason: Ratio of $1$ rupees to $5$ paise is $20 : 1$
- ✓
Both assertion and reason are correct and reason is the correct explanation for assertion.
- B
Both assertion and reason are correct but reason is not correct explanation for assertion.
- C
Assertion is correct but reason is false.
- D
Both assertion and reason are false.
Answer: A.
View full solution →Ratio of $₹2$ and $50$ paise is $4: 1.$
View full solution →$\frac{5}{4}=125 \%$
View full solution →$0.09=90 \%$
View full solution →Per cent is derived from a latin word 'Per centum.
If cost of $6$ pens is $₹90$, then cost of $10$ pens is $₹120.$
View full solution →Fill in the box with the correct symbol out of $>, <$, and =, $0 \;\; \square \frac{-7}{6}$
View full solution →Fill in the box with the correct symbol out of $>, <$, and = $\frac{5}{-11} \square \frac{-5}{11}$
View full solution →Fill in the box with the correct symbol out of $>, <$, and = $\frac{1}{-3} \square \frac{-1}{4}$
View full solution →Fill in the box with the correct symbol out of $>, <$, and = ,$\frac{-8}{5} \square \frac{-7}{4}$
View full solution →Fill in the box with the correct symbol out of $>, <$, and = $\frac{-7}{8} \square \frac{14}{-16}$
View full solution →If in a stick of chalk, carbon is $3 \mathrm{~g}$, what is the weight of the chalk stick?
View full solution →Chalk contains calcium, carbon and oxygen in the ratio $10:3:12.$ Find the percentage of carbon in chalk.
View full solution →Convert given per cents to decimal fractions and also to fractions in simplest forms:$5 \%$
View full solution →Convert given per cents to decimal fractions and also to fractions in simplest forms:$20 \%$
View full solution →Convert given per cents to decimal fractions and also to fractions in simplest forms:$150 \%$
View full solution →Find the amount to be paid at the end of $3$ years in each case:Principal $=₹ 7,500$ at $5 \%$ p.a.
View full solution →Find the amount to be paid at the end of $3$ years in each case:Principal $=₹ 1,200$ at $12 \%$ p.a.
View full solution →Amina buys a book for $₹ 275$ and sells it at a loss of $15 \%$. How much does she sell it for?
View full solution →Juhi sells a washing machine for $₹ 13,500$. She loses $20 \%$ in the bargain. What was the price at which she bought it?
View full solution →Ibuy a $T.V.$ for $₹ 10,000$ and sell it at a profit of $20 \%$. How much money do I get for it?
View full solution →If ₹250 is to be divided amongst Ravi, Raju and Roy, so that Ravi gets two parts, Raju three parts and Roy five parts. How much money will each get? What will it be in percentages?
Anita takes a loan of $₹5,000$ at $15\%$ per year as rate of interest. Find the interest she has to pay at the end of one year.
View full solution →Selling price of a toy car is $₹ 540$. If the profit made by shopkeeper is $20\%$, what is the cost price of this toy?
View full solution →Online shopping has increased in the past few years. There are several apps and websites available which allow buyers to purchase goods online.
$1.$ In a survey, every three out ive people prefer online shopping over shopping from the local market.
What percentage of people in the survey prefer shopping from the local market?
$2.$ The marked price of a hot water geyser is $Rs. 9000.$ It is available at a discounted price for$ Rs. 7560$ on an online shopping website.
What is the percent reduction in the cost of the geyser$?$
$3.$ Misha spent $Rs. 15,000$ for groceries and home products last month. She shopped online as well as from the local market. The amount of money she spent on online shopping is three times the amount she spent on shopping from the local market.
What percentage of money did Misha spend by shopping online$?$
$4.$ Nisha purchased $20$ pairs of earrings for $Rs. 200.$ She pasted colourful beads on the earrings with glue.
The beads cost her $Rs. 30$ and a tube of glue to stick the beads costs $Rs. 20.$
She sold each pair of earrings for $Rs. 40.$
After selling all the earrings, how many rupees did she make as proit$?$
$A. Rs. 250$
$B. Rs. 550$
$C. Rs. 600$
$D. Rs. 800$
$5.$ What percentage proit did Nisha make$?$
$A. 68.75\%$
$B. 220\%$
$C. 320\%$
$D. 1375\%$
View full solution →Liqueied gas is a type of fuel used in cars and other vehicles. After petrol and diesel, liqueied gas is the third most popular fuel in the world. For the past two decades, it has been used as an
alternative for petrol worldwide.
$1.$ In the year $2019,$ worldwide consumption of liqueied gas was $27$ million tonnes, whereas in India, its consumption was $0.42$ million tonnes.
What is the ratio of consumption of liqueied gas in India to worldwide$?$
$2.$ In the year $2019,$ India consumed $28.3$ million tonnes of petrol and $83.5$ million tonnes of diesel.
Is it correct to say that in the year $2019,$ the consumption of diesel was less than three times the
consumption of petrol in India? Give reasons.
$3.$ The cost of per litre petrol in New Delhi on $11$ August, $2021$ was $Rs. 101.84.$ On the same day, the cost of one litre of liqueied gas was $60\%$ less than the cost of petrol in New Delhi.
Which of the following could be the cost of liqueied gas?
$A. Rs. 38.56$
$B. Rs. 61.27$
$C. Rs. 142.58$
$D. Rs. 162.94$
$4.$ Liqueied gas contains gases like butane and propane. The percentage of both butane and propane in liqueied gas varies from 100% of propane to $20\%$ of propane.
One litre of liqueied gas weighs $510\ g$ in which the mass of propane gas is $357\ g.$
Which of the following shows the percentage of propane gas present in $1\ L$ of the liqueied gas$?$
$A. 20\%$
$B. 30\%$
$C. 70\%$
$D. 100\%$
$5.$ Parvez wants to use liqueied gas in his car. He needs to install a liqueied gas kit in his car. The kit costs $Rs. 50,000.$ To install the kit, he paid $Rs. 5000$ and has availed a loan of $Rs. 45,000$ at a rate of $10\%$ per annum using simple interest. The repayment period for him is $1\ yr.$
What is the total sum of money (in rupees) Parvez has to pay in $1\ yr?$
View full solution →The population of a city decreased from $25,000$ to $24,500 .$ Find the percentage decrease.
View full solution →Reena’s mother said, to make idlis, you must take two parts rice and one part urad dal. What percentage of such a mixture would be rice and what percentage would be urad dal$?$
View full solution →Rahul bought a sweater and saved $₹200$ when a discount of $25\%$ was given. What was the price of the sweater before the discount?
View full solution →The cost of a flower vase is $₹120.$ If the shopkeeper sells it at a loss of $10\%,$ find the price at which it is sold.
View full solution →The number of illiterate persons in a country decreased from $150$ lakhs to $100$ lakhs in $10$ years. What is the percentage of decrease$?$
View full solution →