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Exercise 7.1 class 8 solution-Introduction
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Exercise 7.1 class 8 solution-what is Ratio ?
A ratio is a quantitative comparison between two or more values, typically expressed as a fraction or a quotient. Ratios are used to compare the relative sizes or quantities of different things. They can be expressed in different ways, including as fractions, decimals, or percentages.
For example, if you have 3 red marbles and 5 blue marbles, the ratio of red marbles to blue marbles can be expressed as:
- Fraction: 3/5
- Decimal: 0.6
- Percentage: 60%
Ratios are often used in various fields such as mathematics, science, finance, and statistics to make comparisons and analyze data.
Exercise 7.1 class 8 solution-what is percentage ?
A percentage is a way to express a fraction or proportion of something in relation to a whole, typically represented as a number followed by the “%” symbol. The term “percent” means “per hundred,” so percentages are a way to express parts of a whole based on a scale of 100.
To calculate a percentage, you typically divide the part (the portion you’re interested in) by the whole (the total or the base) and then multiply the result by 100. The formula for finding the percentage is:
For example, if you have 25 red balls out of a total of 100 balls, you can find the percentage of red balls as follows:
Percentage of Red Balls=(25/100)×100%=25%
So, 25% of the total number of balls are red.
Percentages are commonly used in various contexts, such as calculating discounts, expressing probabilities, analyzing data, and representing relative quantities or changes.
Exercise 7.1 class 8 solution- examples of the exercise.
Example.7.1.1 Convert the following ratio in to percentage : 2:5
Solve.To convert the ratio 2:5 into a percentage, you can use the following formula:
In this case, the “Part” is 2, and the “Whole” is 5.
So, you can convert the ratio 2:5 into a percentage as follows:
So, the ratio 2:5 is equivalent to 40%.
Example.7.1.2. find the ratio of the following ,speed of cycle 20km/hour to speed of car 60km/hour.
Solve. The ratio of the speed of a cycle to the speed of a car can be expressed as follows:
Speed of Cycle : Speed of Car
In this case, the speed of the cycle is 20 km/hour, and the speed of the car is 60 km/hour. Therefore, the ratio is:
20 km/hour : 60 km/hour
To simplify this ratio, you can divide both values by their greatest common factor, which is 20:
20 km/hour:60 km/hour=1:3
So, the ratio of the speed of the cycle to the speed of the car is 1:3.
Example 7.1.3. what percent of number from 1 to 50 are prime.
Solve.To find out what percentage of numbers from 1 to 50 are prime, you need to count the prime numbers within that range and then express it as a percentage of the total numbers.
Prime numbers are positive integers greater than 1 that have no positive divisors other than 1 and themselves. Let’s find the prime numbers between 1 and 50:
Prime numbers in the range 1 to 50: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, and 47.
There are 15 prime numbers in the range 1 to 50. Now, to find the percentage, you divide the number of prime numbers by the total number of integers in that range (which is 50) and then multiply by 100:
Percentage of prime numbers=(Total numbers/Number of prime numbers)×100=(15/50)×100=30%
So, 30% of the numbers from 1 to 50 are prime.
Example 7.1.4. There are 48 girls out of 80 students . find the percentage .
solve.To find the percentage of girls out of a total of 80 students, you can use the following formula:
In this case, the “Part” is the number of girls, which is 48, and the “Whole” is the total number of students, which is 80. You can calculate the percentage as follows:
Percentage of girls=(48/80)×100%=60 %
So, 60% of the students are girls.
Exercise 7.1 class 8 solution- exercise preview
Our Exercise 7.1 Preview is designed to give you a taste of what’s in store. You’ll find a selection of math problems and questions that challenge your analytical and problem-solving skills. It’s a glimpse into the wonderful world of math exercises that will not only sharpen your mathematical prowess but also help you build the confidence you need to excel in your Class 8 studies.
Exercise 7.1 class 8 solution- solution pdf
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