case /data -based (4 Marks)

Question 14 Marks

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$?$
$A. 68.75\%$
$B. 220\%$
$C. 320\%$
$D. 1375\%$

Answer

$6. 40\%$
$7. 16\%$
$8. 75\%$
$9. B. Rs. 550$
$10. B. 220\%$

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Question 24 Marks

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 $1\ yr?$

Answer

$1. 0.42/27$
$0.42:27$
$42:2700$
$14:900$
$2.$ Yes, with valid reasoning and involves comparison of consumption of petrol to diesel.
Yes, it is correct to say that in the year $2019,$ the consumption of diesel was less than three times of the consumption of petrol in India because $28.3 × 3 = 84.9,$ which is more than $83.5.$
Yes, it is correct to say that in the year $2019,$ the consumption of diesel was less than three times of the consumption of petrol in India because $83.5/3 = 27.8$ which is less than $28.3.$
$3. A. Rs. 38.56$
$4. C. 70\%$
$5. Rs. 49,500$

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Maths case /data -based (4 Marks)

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