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Read the table and fill in the boxes.

distance travelled by kriti in 1 hour is 3km

distance travelled by karan in 4 hours is 16km

distance travelled by kriti in 4 hours is 12km

Check whether the given ratios are equal, i.e. they are in proportion.
If yes, then write them in the proper form.
1. 1 : 5 and 3 : 15
2. 2 : 9 and 18 : 81
3. 15 : 45 and 5 : 25
4. 4 : 12 and 9 : 27
5. ` 10 to ` 15 and 4 to 6

1. 1 : 5 and 3 : 15 So the ratios are in proportion 2. 2 : 9 and 18 : 81 So So the ratios are in proportion 3. 15 : 45 and 5 : 25 The given ratios are not equal, so they are not in proportion 4. 4 : 12 and 9 : 27 The given ratios are equal, so they are in proportion 5. ` 10 to ` 15 and 4 to 6 The given ratios are equal, so they are in proportion

Draw any rectangle and find the ratio of its length to its breadth.

Suppose a rectangle has length 10 cm and breadth of 7 cm then ratio of its length to its breadth=10:7

Find the ratio of number of doors and the number of windows in your
classroom.

If there are four windows and one door then the ratio of the number of doors and the number of windows =1:4

Find the number of students above twelve years of age in your class. Then, find the ratio of the number of students with age above twelve years and the remaining students.

suppose there are 40 students in the class and 5 students are above 12 years, then there are 40-5=35 students below or equal to 12 years. Then he ratio of the number of students with age above twelve years and the remaining students = 5:35=1:7

Find the ratio of number of desks and chairs in your classroom.

If there are 8 desk and 32 chairs then the ratio of number of desks and chairs is 8:32=1:4

Find the ratio of number of notebooks to the number of books in your bag.

If there are 3 notebooks and 4 books in the bag then the  ratio of the number of notebooks to the number of books =3:4

In a school, there were 73 holidays in one year. What is the ratio of the number of holidays
to the number of days in one year?

Number of holidays in a year = 73 Number of days in a year = 365   the ratio of the number of holidays to the number of days in one year= 1:5

Cost of a toffee is 50 paise and cost of a chocolate is rupees 10. Find the ratio of the cost of a toffee to the cost of a chocolate.

Cost of toffee = 50 paise cost of chocolate =  10 rupees 1rupee = 100 paise Therefore, 10rupee = 1000 paise  So, the cost of chocolate = 1000 paise  the ratio of the cost of toffee to the cost of chocolate=50:1000=1:20

Saurabh takes 15 minutes to reach school from his house and Sachin takes one hour to reach school
from his house. Find the ratio of the time taken by Saurabh to the time taken by Sachin.

Time taken by Saurabh = 15 minutes Time taken by Sachin= 1 hour = 60 minutes.  To find ratios we have to convert the given quantities to the same units. Here we are expressing both the quantities in minutes  the ratio of the time taken by Saurabh to the time taken by Sachin= 15:60=1:4

Ravi walks 6 km in an hour while Roshan walks 4 km in an hour What is the ratio of the distance covered by Ravi to the distance covered by Roshan?

The distance covered in one hour by Ravi = 6 Km   The distance covered in one hour by Roshan =  4 Km So the required ratio is 3:2

In a class, there are 20 boys and 40 girls. What is the ratio of the number of boys to the number of girls?

number of boys = 20 number of girls = 40 So the required ratio is 1:2

Q. 11.     Anish made $42$ runs in $6$ overs and Anup made $63$ runs in $7$ overs. Who made more runs per over?

Anish's Case: runs in 6 overs = 42 So, runs in 1 over: Anup's Case: Run in 7 overs = 63  So, Runs in 1 over : As we can see Anup made more runs per over.

Q. 10.     Raju purchases $10$ pens for $Rs.150$ and Manish buys$7$ pens for $Rs.84.$ Can you say who got the pens cheaper?

Cost of Raju's 10 pens = Rs 150 Cost of Raju's 1 pen : And Cost of Manish's 7 pens = Rs 84 Cost of Manish's 1 pen; As we can see the cost of Raju's 1 pen is 15 and the cost of Manish's 1 pen is 12, Manish got the pen at a cheaper rate.

Q. 9.     A truck requires $108\; litres$ of diesel for covering a distance of $594\; km$ .How much diesel will be required by the truck to cover a distance of

$1650\; km?$

Given Diesel requires for covering 594 km = 108 litres So, Diesel requires for covering 1 km :    And hence, Diesel requires for covering 1650 km : Hence The truck will require 300 litres of diesel to cover the distance of 1650 km.

Q. 8.     The weight of 72 books is $9\; kg.$ What is the weight of 40 such books?

Given, The weight of 72 books = 9 kg So, The weight of 1 book : And hence, The weight of 40 such books: Hence, the weight of 40 books will be 5 kg.

Q. 7.     Cost of 4 dozen bananas is $Rs.180.$ How many bananas can be purchased for $Rs.90?$

Given, Number of bananas we can buy in Rs 180 = 4 dozen = 12 x 4 = 48 The number of bananas we can buy in Rs 1 :                 So, the number of bananas we can buy in Rs 90: Hence we can buy 24 bananas in Rs 90.

Q. 6.     Shaina pays $Rs.15000$  as rent for 3 months. How much does she has to pay for a whole year, if the rent per month remains same?

Given Rent of 3 months :      So, Rent of 1 month :     And Hence Using unity principle  Rent of 1 year (12 months ) : Therefore, The total rent for one year is Rs 60000.

Q. 5.     The temperature dropped $15$ degree celsius in the last $30$ days. If the rate of temperature drop remains the same, how many degrees will the temperature drop in the next ten days?

Temperature drop in 30 days :     So, Temperature drop in 1 day : And Hence, The Temperature drop in 10 days : Hence if the temperature rate remains the same, there will be a drop of  5 degrees in the next 10 days.

Q. 4.     Cost of $5\; kg$ of wheat is $Rs.91.50.$

(b) What quantity of wheat can be purchased in $Rs.183?$

Given, The cost of 5 kg of wheat:     So, The cost of 1 kg of wheat :    So, The amount of wheat which can be bought in Rs 183:   Hence 10 kg of wheat can be bought in Rs 183.
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