RS Aggarwal Class 8 Chapter 9 Solutions (Percentage)
RS Aggarwal Class 8 Maths Solutions for Chapter 9 ‘Percentage’ will help you understand the basic concepts of ratios and percentages. This chapter of RS Aggarwal Class 8 Maths Solutions elaborates on the topics of ratio and percentages, finding percentages, converting ratio into percentages and vice versa, and finding an increase and decrease percentage.
With the help of 2 exercises and around 45 questions, this chapter gives you ample practise on the basics of percentages so that you can further understand their applications. The percentage is an important concept that can be easily applied in real-life situations. Not only in CBSE exams but various other national and international level olympiads and competitions such as IMO and NTSE include questions related to percentages.
The RS Aggarwal Solutions for Class 8 Maths Chapter 9 ‘Percentage’ will help you form a solid foundation of the chapter. Our subject matter experts have solved every question stepwise with proper reasoning. We have also provided some important topics and definitions here that will help you in solving the questions of this chapter easily.
Important Topics for RS Aggarwal Class 8 Maths Solutions Chapter 9: Percentage
Percentage and Ratios
- A percentage is defined as a number or a quantity expressed in a hundred. It is denoted by the symbol ‘%’. For example, 50% means 50 per 100, 20% means 20 per 100.
- The ratio is a comparison of one thing to another. For example, if there are a total of 20 fruits in which 15 fruits are pineapples and 5 are watermelons. Then the ratio of pineapples to watermelons can be described as 15:5 or 15/5.
- Both ratio and percentages are used for comparison. Taking the above example of pineapples and watermelons, we can use percentages to compare them. There are 15 pineapples out of 20 fruits, which is 15/20. To calculate the percentage we have to express the number of fruits per hundred. So, 15/20 x 100 = 75. This means 75% of the fruits are pineapples. To find the percentage of watermelons, we will do the following:
Total percentage = 100
Percentage of pineapples = 75
Percentage of watermelons = 100 – 75 = 25.
This means that there are 75% pineapples and 25% watermelons. This is called the ‘unitary method’ to find the percentage.
- We can use another method where we make the denominator of the fraction as 100. For instance, let us continue with the same example of pineapples and watermelons. There are 15 pineapples out of 20 fruits. To express it into percentages, we will do the following:
15/20 x 5/5= 75/100= 75%
Here, we multiplied the fraction with such a fraction so that the ‘denominator’ becomes 100.
Finding Increase and Decrease Percentage
- There are times when you are required to find that by what percentage a particular quality increased or decreased. Let us take an example. Suppose Ram’s salary is Rs. 40,000 and he has now received an increment of 20%. Then, we need to find a new salary.
First, we will find how much salary is increased by the following:
20% of 40,000 = 20/100 x 40000 = 8000
This means that his salary incremented by Rs. 8000. So his new salary would be 40,000 + 8000 = Rs. 48,000.
- Sometimes, the questions can be given the other way round. Suppose, Ram’s old salary was Rs. 40,000 and his new salary is Rs. 48,000. We need to find the percentage increase in salary. So, for that we will do the following:
Old Salary + Increment = New Salary
40000 + Increment = 48000
Increment = 8000
- Similarly, we can also calculate the percentage decrease in any given quantity. Let us take an example. Suppose on a Sunday, 850 people visited the art museum. But, on Monday, only 340 people visited the museum. So we need to find the percentage decrease in the number of people on Monday as compared to Sunday. To find the answer, we will do the following:
Total people on Sunday – Total people of Monday = Decrease in the number of people
850 – 340 = 510
Decrement = 510
Exercise Discussion for RS Aggarwal Class 8 Maths Solutions Chapter 9: Percentage
- RS Aggarwal Solutions for Class 8 Maths Chapter 9 ‘Percentage’ include answers to all the two exercises in a step-by-step manner.
- Exercise 9A has 23 questions based on ratio and percentage, expressing decimals as percentages, expressing fractions as percentages, expressing ratios and percentages, percentage increase, and percentage decrease.
- This exercise also includes word problems based on the topics mentioned above. The questions range from beginner to advanced levels. For instance, there are some easy questions such as calculating what percentage of 156 is 96 and some typical questions where you have to calculate percentages of three different items in a particular set of items.
- Exercise 9B has 20 questions. Most of these questions are based on finding the percentage increase and percentage decrease. There are straightforward questions as well as word problems. Some questions might appear confusing to you where you have to find multiple percentages.
Benefits of RS Aggarwal Class 8 Maths Solutions Chapter 9: Percentage by Instasolv
- We provide 100% accurate solutions for all exercises of Chapter 9 of RS Aggarwal Class 8 Maths book.
- These solutions act as a guide for you to help you solve difficult problems given in the exercises.
- You will be able to solve all the problems quickly and hence find time for revisions and other practice books for this chapter.
- Our solutions will benefit you in preparing well for CBSE as well as competitive exams.