If you are in search of **NCERT solutions for Class 8 Maths Chapter** **7 Comparing Quantities**, then you are at the right place. When it comes toÂ **Mathematics**, it is a subject that holds value for students across various academic streams, be it science, biology, or commerce and having a very good understanding of basic math concepts will help you in achieving your goal and make it much more easier.

Here we provide detailed **NCERT solutions for Class 8 Maths**Â of all the chapters,Â **exercise wise**Â withÂ **updated syllabus by NCERT**. These NCERT solutions for Class 8 Maths have been carefully crafted to provide detailed explanations, ensuring that students can grasp the concepts effectively. We also provide extra practice questions for the same, so feel free to bookmarkÂ **ncertforclass8.com**Â to boost your preparation.

## NCERT Solutions for Class 8 Maths Chapter 7 Comparing Quantities Ex 7.1

**Class 8 Maths Chapter** 7 Comparing Quantities **Exercise 7.1**

**Exercise 7.1**

**1. Find the ratio of the following.(a) Speed of a cycle 15 km per hour to the speed of scooter 30 km per hour.(b) 5 m to 10 km (c) 50 paise to â‚¹ 5**

Solution :

**(a)** Speed of cycle = 15 km/hr

Speed of scooter = 30 km/hr

`\[Hence\ ratio\ of\ speed\ of\ cycle\ to\ that\ of\ scooter=15:30=\ \frac{15}{30}=\ \frac{1}{2}=1:2\]`

**(b) **1 km = 1000 m

10 km = 10 x 1000 = 10,000 m

`\[âˆ´\ Ratio\ =\ 5\ :\ 10000\ =\ \frac{5\ m}{10000\ m}=\ \frac{1}{2000}=\ 1:2000\]`

**(c) â‚¹** 1 = 100 paise**â‚¹** 5 = 5 x 100 = 500 paise

`\[âˆ´\ \ Ratio\ =\ 50\ :\ 500\ =\ \frac{50\ paise}{500\ paise}=\frac{1}{10}=1:10\]`

**2. Convert the following ratios to percentages.(a) 3 : 4 (b) 2 : 3**

Solution :

`\[\left(a\right)\ Percentage\ of\ 3\ :\ 4\ =\ \frac{3}{4}\ x\ 100\ \%\ =\ 75\%\]`

`\[\left(b\right)\ Percentage\ of\ 2\ :\ 3\ =\ \frac{2}{3}\ x\ 100\ \%\ =\ 66\ \frac{2}{3}\%\]`

**3. 72% of 25 students are interested in mathematics. How many are not interested in mathematics?**

Solution :

`\[Total\ number\ of\ students\ =\ 25\]`

`\[Number\ of\ good\ students\ in\ mathematics=72\%\ of\ 25=\ \frac{72}{100}\ x\ 25\ =\ 18\]`

`\[Number\ of\ students\ not\ good\ in\ mathematics=25-18=7\]`

`\[Hence\ percentage\ of\ students\ not\ good\ in\ mathematics=\frac{7}{25}x\ 100=\ 28\%\]`

**4. A football team won 10 matches out of the total number of matches they played. If their win percentage was 40, then how many matches did they play in all?**

Solution :

`\[Let\ the\ total\ number\ of\ matches\ be\ x.\]`

`\[According\ to\ the\ question,\ 40\ \%\ of\ x\ =\ 10\]`

`\[â‡’\frac{40}{100}\ \times\ x\ =\ 10\]`

`\[â‡’x\ =\ \frac{\left(10\ \times100\right)}{40}=\ 25\]`

`\[Hence\ the\ total\ number\ of\ matches\ are\ 25.\]`

**5. If Chameli had â‚¹ 600 left after spending 75% of her money, how much did she have in the beginning?**

Solution :

Let her money in the beginning be **â‚¹** *x*

According to the question-

â‡’ x- 75% of x = 600

`\[â‡’\ x\ -\ \frac{75}{100}\times x=600\]`

`\[â‡’\ x-\frac{3}{4}x=600\]`

`\[â‡’\ x\left(1-\frac{3}{4}\right)=600\]`

`\[â‡’\ \frac{x\left(4-3\right)}{4}=600\]`

`\[â‡’\ x\ =\ 600\ \times\ 4\ =â‚¹\ 2400\]`

Hence, the money at the beginning was **â‚¹**2400.

**6. If 60% people in a city like cricket, 30% like football and the remaining like other games, then what per cent of the people like other games? If the total number of people is 50 lakh, find the exact number who like each type of game.**

Solution :

Number of people who like cricket = 60%

Number of people who like football = 30%

Number of people who like other games = 100% – (60% +30%) = 10%

Now, Number of people who like cricket = 60% of 50,00,000

`\[\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ =\ \frac{60}{100}\times50,00,000\ =\ 30,00,000\]`

Number of people who like football = 30% of 50,00,000

`\[\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ =\ \frac{30}{100}\times\ \ 50,00,000=\ 15,00,000\]`

And, Number of people who like other games = 10% of 50,00,000

`\[\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ =\ \frac{10}{100}\times\ 50,00,000\ =\ 5,00,000\]`

Hence, number of people who like other games are 5 lakhs.

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