Percentage and Price Increase Quiz

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Questions and Answers

What is the minimum percentage of boys when both Class A and Class B are considered together?

40% (correct)

39.17%

37.5%

33.33%

What should be the minimum decrease in spending in the countryside as a percentage of his spending in the city?

30.3% (correct)

25%

33.33%

32.23%

What is the ratio of the percentage increase in the population of the city over the previous year in 2015 to that in 2017?

5 : 6 (correct)

6 : 5

4 : 3

1 : 1

How much extra money did Raju pay when he repurchased the washing machine from Khajoor?

Rs. 38214 Signup and view all the answers

If the population of the city was initially 20,000 and increased in 2018 to 11200 more than 2014, what was the population in 2017?

25,200 Signup and view all the answers

What total percentage did the city population increase by from 2014 to 2018?

60% Signup and view all the answers

How much was the initial expense of Virat's budget for the first 10% of his travel based on a hypothetical budget of Rs. 50,000?

Rs. 6000 Signup and view all the answers

What was the ratio of boys to girls in Class A?

2 : 3 Signup and view all the answers

What score did Arjun Kapoor achieve if he secured 85% and got 10% of his answers wrong?

8.5 marks Signup and view all the answers

If a tomato cost Rs.10 last year and increased by 20%, what is its price this year?

Rs.12 Signup and view all the answers

What is the percentage increase in the price of potatoes if this year they cost Rs.11 more to buy 5 potatoes and 3 tomatoes compared to last year?

27% Signup and view all the answers

If Salt Lake, South Kolkata, and Rajarhat have populations in the ratio 9:8:3, what is the total percentage literacy across these locations based on given literate rates?

77.0% Signup and view all the answers

In an election scenario where Narendra Modi gets 40% more votes than Rahul Gandhi, if Gandhi's votes represent $x$, how many total votes does Modi receive?

$1.4x$ Signup and view all the answers

If Rahul Gandhi gets 10% more votes than Arvind Kejriwal, and Modi beats Kejriwal by 54000 votes, how can you express Kejriwal's votes if represented as $k$?

$k + 54000$ Signup and view all the answers

What is the pass mark for the test if Arjun Kapoor's score was 6 marks above the passing mark based on the score of 85%?

51 marks Signup and view all the answers

What amount of dried sugarcane can be obtained from 90 kg of fresh sugarcane, knowing the water content differences?

47 kg Signup and view all the answers

What was the ratio of the population increase among the three cities during the year 2017?

7:5:9 Signup and view all the answers

At the beginning of 2018, how much more was the population of Delhi compared to the beginning of 2017?

27000 Signup and view all the answers

What was the ratio of the population of Bangalore to Chennai at the beginning of 2018?

108:125 Signup and view all the answers

What is the total sum of the increase in the population of all the cities together during the year 2017?

61200 Signup and view all the answers

If the population ratio is 7:5:9, which city's population recorded the highest increase?

Chennai Signup and view all the answers

Which of the following calculations could represent the increase in the population ratio during 2017?

$7x = 5y = 9z$ Signup and view all the answers

Based on the population changes, which city experienced the least numerical increase in population?

Bangalore Signup and view all the answers

What would be a plausible population increase if the total population increase across cities was calculated incorrectly?

50000 Signup and view all the answers

What is the percentage increase in the cost of potato?

20% Signup and view all the answers

What is the quantity of pulp in 90 kg of dried sugarcane?

72 kg Signup and view all the answers

If the population of Salt Lake is represented as 9x, what fraction of the total population do they make up?

9/20 Signup and view all the answers

Which equation represents the relationship between M and A in the voting scenario?

M = 1.54A Signup and view all the answers

What is the total number of votes cast in the election?

364000 Signup and view all the answers

What is the total literacy rate calculated from the populations of Salt Lake, South Kolkata, and Rajarhat?

77.5% Signup and view all the answers

If A received 100,000 votes, how many votes did R receive?

110,000 Signup and view all the answers

How much does the pulp constitute in the dried sugarcane as a percentage?

72% Signup and view all the answers

What is the result when calculating $364000 \times 100 \div 90$?

404444 Signup and view all the answers

What is the maximum overall percentage of boys from classes A and B?

40% Signup and view all the answers

How is the minimum percentage of boys calculated in relation to classes A and B?

A weighted average of the percentages of both classes Signup and view all the answers

If 12% of the budget is spent over 10% of the days, what is the budget spent in 1% of the days?

1.2% Signup and view all the answers

What percentage of the budget is spent on 45% of days in the city?

54% Signup and view all the answers

What is the percentage decrease required based on the calculations provided?

30.33% Signup and view all the answers

Based on the class sizes, which statement about the boys' percentage is true?

It should be closer to 40% due to class A's size Signup and view all the answers

What calculation determines the overall budget for days remaining in the city?

A mathematical equation involving budget spent and remaining percentage Signup and view all the answers

Study Notes

Percentage Questions

Arjun Kapoor gets 85% on a test, which is 6 marks more than the passing mark.
Anil Kapoor gets 70% on the same test, which is 3 marks less than the passing mark.
Both missed some questions and were penalized 0.5 marks for every incorrect answer.
The passing mark is 45.

Tomato and Potato Price Increase

The price of a tomato increased by 20% from last year to this year.
A tomato cost Rs. 10 last year and Rs. 12 this year.
A potato cost Rs. 5 last year.
It costs Rs. 11 more to buy 5 potatoes and 3 tomatoes this year than last year.
The price of a potato increased by 20% this year.

Sugarcane Water Content

Fresh sugarcane contains 84% water.
Dried sugarcane contains 28% water.
20 kilograms of dried sugarcane can be produced from 90 kilograms of fresh sugarcane.

Kolkata Literacy Rates

Kolkata has three localities: Salt Lake, South Kolkata, and Rajarhat.
The population of the three localities is in a ratio of 9:8:3.
In Salt Lake, 80% of the population is literate.
In South Kolkata, 30% of the population is illiterate.
In Rajarhat, 90% of the population is literate.
The overall literacy rate for the three localities is 77.5%.

Election Results

In an election, 3 candidates: Narendra Modi, Rahul Gandhi, and Arvind Kejriwal competed.
Narendra Modi receives 40% more votes than Rahul Gandhi.
Narendra Modi beats Arvind Kejriwal by 54000 votes.
Rahul Gandhi gets 10% more votes than Arvind Kejriwal.
90% of voters on the voting list participated in the election.
There were a total of 404,444 voters on the voting list.

Class A and Class B Boys and Girls

The ratio of boys to girls in Class A is 2:3.
The ratio of girls to boys in Class B is 5:3.
The minimum percentage of boys when both classes are considered together is 39.17%.

Budget for a New York Trip

Virat spends 12% of his budget on the first 10% of his trip in New York City.
He needs to spend another 35% of the days in the city.
To complete his trip on budget, he needs to decrease spending in the countryside by 30.33%.

City Population Growth

In 2014, the population of a city was 20,000.
In 2015, 2016, and 2017 the population increased by the same amount.
In 2018, the population increased by 20%, making it 11200 more than 2014.
The ratio of the population growth rate between 2015 and 2017 is 6:5.

Washing Machine Transactions

Raju buys a washing machine for 25% off its listed price of Rs. 48000.
He sells it to Kaju for a 30% profit on his cost price.
Kaju marks the price up by 20% and gives a 10% discount to Khajoor.
Khajoor sells the washing machine back to Raju for a 50% profit.
Raju pays Rs. 39816 extra buying back the washing machine.

Metropolitan City Population

In the beginning of 2017, the population of Bangalore, Chennai, and Delhi was in the ratio of 4:5:6.
The population of each city increased during 2017, by a percentage ratio of 7:5:9, respectively.
At the beginning of 2018, Delhi's population was 27000 more than at the beginning of 2017.
At the beginning of 2018, the ratio of Bangalore to Chennai population was 108:125.
The total population increase across all three cities during 2017 was 53500.

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Description

Test your understanding of percentages with this quiz that includes various scenarios like students' test scores and price increases of tomatoes and potatoes. Additionally, explore applications of percentages in real-life situations such as calculating water content in sugarcane. This quiz is perfect for students looking to sharpen their mathematical skills.