Extra Curriculum Support

Sec A

1.Five added to a one third of a number gives twice the number, then the number is.

A. 25 B. 35 C. 14 D. 16

Sec B

1.Raju has solved 24 part of an exercise while Sameer solved 12 part of it. Who has solved more?

2.How many 114 feet long strips of ribbon can be cut from a ribbon that is 712 feet long?

3.A Poultry farm produces 600 eggs every week and delivers them equally to 10 shops. The shopkeepers charge Rs.5 for every good egg but they have to give Rs.2 to the customer if the egg comes out to be rotten. A shopkeeper could only earn Rs.276 despite selling all the eggs. How many eggs were rotten?

4. It takes 25 yards of material to make a shirt. How many yards of material will be required to make 6 shirts?

Sec C

1. Rahul walks 25 km from a point A, towards north and then from there 112km towards south. At what position will he be from point A?

2. A poultry farm produces 600 eggs every week and delivers them equally to 10 shops. The shopkeepers charge Rs. 5 for every good egg but they have to give Rs. 2 to the customer if the egg comes out to be rotten. A shopkeeper could only earn Rs. 276 despite selling all the eggs. How many eggs were rotten?

3. The ages in years of 10 teachers of a school are:

32, 41, 28, 54, 35, 26, 23, 33, 38, 40

(i) What is the age of the oldest teacher and that of the youngest teacher?

(ii) What is the range of the ages of the teachers?

(iii) What is the mean age of these teachers?

4. A sum of Rs. 12,500 amounts to Rs. 15,500 in 4 years at a rate of simple interest. What is the rate of interest?

Sec D

1.The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 25% profit?

Problem 1

Rani decides to save money every month. She saves 10% of her pocket money each month. In a year, she saved ₹600. What was her monthly pocket money? How does this habit of saving help her in the future? Discuss the importance of saving and managing money wisely.

Problem 2

Amit's mother bought 2 kg of apples for ₹240. She notices that the price has increased by 20% compared to last month. What was the price of apples per kg last month? How does inflation affect household budgets? Reflect on how families can manage their expenses during times of rising prices.

Problem 3

Ravi buys a bicycle for ₹3,000. He sells it to his friend for ₹3,300. What percentage profit did Ravi make? Why is it important to be fair and honest in transactions? Discuss how fair trade practices benefit both the seller and the buyer.

Q1

A store is offering a discount of 25% on a jacket originally priced at ₹2,000. Another store is offering a jacket at a 20% discount but with an additional ₹100 off. Determine which store offers the better deal. Discuss how understanding percentages and additional discounts helps consumers make better purchasing decisions.

Q2

A school is comparing the performance of students in two different subjects. In Math, the average score of 30 students is 75, and in Science, the average score of 40 students is 80. Calculate the combined average score of all students in both subjects. Explain the significance of comparing averages in educational assessments and decision-making.

Q3

A company’s profit in two consecutive years was compared. In the first year, the profit was ₹5,00,000, and in the second year, it increased by 15%. Calculate the percentage increase in profit between the two years. Discuss how analyzing percentage changes in profits can help businesses in strategic planning and financial management.

Q4

In a sports event, the scores of two teams are compared. Team A scored 80 points, which is 25% higher than Team B’s score. Determine Team B’s score and explain how comparing such percentages can influence strategies and decisions in competitive scenarios.

Questions

1.The ratio of the heights 1.50 m and 75 cm of two persons can be written as.

(a) 1 : 50 (b) 1 : 5 (c) 2 : 1 (d) 1 : 2

2. The interest on ₹ 5000 at the rate of 15% per annum for one month is.

(a) ₹ 750 (b) ₹ 75 (c) ₹ 625 (d) ₹ 62.50

3. If two ratios are equivalent, then the four quantities are said to be in ___ .

4. If 25% of a journey is 800 km, the total distance of the journey is 3000 km.

5. Suhana sells a sofa set for ₹ 9600 making a profit of 20%. What is the C.P. of the sofa set?

6. 20% of 700 m is

(a) 560 m (b) 70 m (c) 210 m (d) 140 m

7. 0.07 is equal to

(a) 70% (b) 7% (c) 0.7% (d) 0.07%

8.In a class of 50 students, 8 % were absent on one day. The number of students present on that day was ___ .

9. Savitri obtained 440 marks out of 500 in an examination. She secured ___ % marks in the examination.

True/False Questions From 10 to 13

10. When an improper fraction is converted into percentage then the answer can also be less than 100.

11. 8 hours is 50% of 4 days.

12. Out of 600 students of a school, 126 go for a picnic. The percentage of students that did not go for the picnic is 75.

13. Amount received after depositing ₹ 800 for a period of 3 years at the rate of 12% per annum is ₹ 896.

14. Express 16 as a per cent.

15. The strength of a school is 2000. If 40 % of the students are girls then how many boys are there in the school?

16. In an examination, there are three papers each of 100 marks. A candidate obtained 53 marks in the first and 75 marks in the second paper. How many marks must the candidate obtain in the third paper to get an overall of 70 per cent marks?

17. A piece of cloth 5 m long shrinks 10 per cent on washing. How long will the cloth be after washing?

18. Ambika got 99 per cent marks in Mathematics, 76 per cent marks in Hindi, 61 per cent in English, 84 per cent in Science, and 95% in Social Science. If each subject carries 100 marks, then find the percentage of marks obtained by Ambika in the aggregate of all the subjects.

19. In a debate competition, the judges decide that 20 per cent of the total marks would be given for accent and presentation. 60 per cent of the rest are reserved for the subject matter and the rest are for rebuttal. If this means 8 marks for rebuttal, then find the total marks.

Q1

Discount and Sale Price

Case: A clothing store is offering a 30% discount on all winter jackets. Priya wants to buy a jacket that originally costs ₹4,000. She also has a coupon for an additional 10% off the discounted price.

Questions:

1.Calculate the final price Priya has to pay for the jacket after applying both the store discount and the coupon discount.

2.Discuss how discounts are calculated and why it’s important to understand the final price when shopping.

Sol 1

Solution: (1)

Given, Original Price = ₹4,000 , Store Discount = 30%

Discount Amount = Original Price × DiscountPercentage100 = 4000 × (30100) = 4000 × 0.30 = ₹1,200

Discount Price = Original Price - Discount Amount = 4000 - 1200 = ₹2,800

Coupon Discount Amount = Discounted Price × 10100 = 2800 × 0.10 = ₹280

Final Price = Discounted Price - Coupon Discount Amount = 2800 - 280 = ₹2,520

So, Priya has to pay ₹2,520 for the jacket after applying both discounts.

Solution: (2)

Discounts are often used by retailers to encourage sales and attract customers. They can be percentage-based, like in this case, or a fixed amount off the price. Understanding how to calculate the final price after discounts is crucial for several reasons:

Budgeting: Knowing the final price helps shoppers stay within their budget.

Value Assessment: It allows customers to determine if a deal is genuinely beneficial compared to other options. Smart Shopping: Understanding the mechanics of discounts enables shoppers to make informed decisions, ensuring they take advantage of promotions without being misled by initial high prices.

Comparison Shopping: Being able to calculate discounts accurately helps consumers compare prices across different stores or brands.

Overall, understanding discounts not only aids in saving money but also enhances the shopping experience by promoting savvy consumer behavior.

Q2

Percentage Increase in Production

Case: A factory produced 15,000 units of a product last year. This year, the production increased by 20%.

Questions:

1. Calculate the number of units produced this year.

2. Explain how understanding percentage increases is useful for businesses in evaluating their growth and setting future targets.

Sol 2

Solution: (1)

Last Year's Production = 15,000

Percentage Increase = 20%

Increasre in Production = Last Year's Production × PercentageIncrease100 = 15000 × (20100) = 15000 × 0.20 = 3,000 units

This Year’s Production = Last Year’s Production+ Increase in Production = 15000 + 3000 = 18,000 units

So, the factory produced 18,000 units this year.

Solution: (2)

Explanation of the Importance of Understanding Percentage Increases:

Understanding percentage increases is crucial for businesses for several reasons:

Performance Evaluation: It helps companies assess their performance over time. A significant increase in production indicates growth and can lead to improved revenue.

Setting Targets: Businesses can use past performance data, including percentage increases, to set realistic future targets. This can motivate teams and guide strategic planning.

Resource Allocation: By understanding production growth, companies can make informed decisions about resource allocation, including staffing and inventory management.

Market Analysis: Tracking percentage increases can help businesses understand market trends and demand for their products, enabling them to adapt to changing consumer preferences.

Investor Confidence: Demonstrating growth through percentage increases can enhance investor confidence, which is crucial for securing funding and support for expansion.

In summary, understanding percentage increases provides valuable insights into a company’s growth trajectory, aiding in strategic planning and decision-making.