Division of a Given Quantity in a Given Ratio

Q. A bag of 25 marbles is shared between Rahul and Kiran in the ratio 2 : 3
(i) How many marbles does Kiran receive?
(ii) How many marbles does Rahul receive?

Q. 30 chocolates are divided in a ratio of 2:3 between A and B respectively. B further divides the chocolates he received in the ratio 1: 2 between his kids C and D respectively. Which of the following statements is/are true?

1. A receives 15 chocolates
2. B receives 18 chocolates
3. C receives 8 chocolates
4. The total number of chocolates with A and D are 24

Q.

The number of boys and girls in a class are in the ratio $5:4.$ If the number of boys is$9$ more than the number of girls, then number of boys is$9.$ State whether the statement is true (T) or false (F).

1. True
2. False

Q. The strength of the class is $65$, including $30$ girls. Find the ratio of the number of :
iii) the whole class to girls

Q.

Find the ratio of the cost of a pen to the cost of a pencil, if the cost of a dozen pencils is $₹18$ and the cost of $8$ ball pens is $₹104$

Q.

The ratio of $6hours$ to $2days$ in its simplest form is ______.

1. $1:4$

2. $3:1$

3. $1:8$

4. $4:6$

Q.

If aspect ratio of our TV screen is given by 16:9, it is the ratio of -

1. width and height

2. width to height

3. height to width

4. height and depth

Q.

Find the ratio in the simplest form:

$35daysto3week$

Q.

A bag contains 2 pink, 3 red and 5 blue balls. Find the ratio of pink balls to the total number of balls.

1. 5:1

2. 1:5

3. 1:2

4. 2:1

Q. The cost of a dozen gel pens is ₹180 and the cost of 8 ball pens is ₹56. Find the ratio of the cost of a gel pen to the cost of a ball pen.

1. 4 : 5
2. 15 : 7
3. 7 : 15
4. 5 : 4

Q.

A man divides his property worth $₹550000$ between his son Rohan and daughter Preeti in the ratio of $2:3$. How much does Preeti get?

Q.

In a class, there are $25$girls and $15$boys. The ratio between the number of girls to the total number of students is

1. $3:8$

2. $5:3$

3. $5:8$

4. $8:5$

Q. In a T20 cricket match , the first team has made 118 runs .If the second team has made 42 runs , what is the ratio of the runs they have scored to the runs they need to score more to win the match

Q.

The cost of $1dozen$ gel pens is $₹144$ and the cost of $9$ ball pens is $₹81$. Find the ratio of the cost of a gel pen to the cost of a ball pen.

Q.

The ages of Garima and Deepa are in the ratio $5:3$. If Garimas age is $15$ years, find the age of Deepa.

Q. If the ratio of absent children to present children in a class is 5 : 35 find the absent children if the total strength of the class is 80 ( strength = present children + absent children )

Q.

A sum of $₹10,200$ is divided among three persons A, B and C in the ratio $4:6:7$ respectively. Find the share of each persons.

Q. A father decided to split the 20 chocolates he had in the ratio 2 : 3 between child 1 and child 2 respectively. How many chocolates did child 2 receive?

1. 6 chocolates
2. 8 chocolates
3. 12 chocolates
4. 15 chocolates

Q. In a family, there are 8 males and 4 females. The ratio of the number of females to the number of males is ____

1. 1:2
2. 1:8
3. 1:4
4. 2:1

Q. Find the ratio of the following in the lowest form: 3 dozen to 2 Scores

Q. A point X on a line segment AB = 30 cm divides it in the ratio 1 : 2. What will be the measure of segment AX ?

1. 15 cm
2. 20 cm
3. 5 cm
4. 10 cm

Q.

Cost of a toffee is $50\mathrm{paise}$and cost of a chocolate is $₹10$. Find the ratio of the cost of a toffee to the cost of a chocolate?

Q.

One day Mia was watching a cookery show in which they were showing how to bake cake. They put 3 bowls of sugar for every 5 bowls of flour. For the upcoming party, if she has put 20 bowls of flour for making a big cake, how much sugar is she going to need?

1. 10 bowls sugar

2. 12 bowls sugar

3. 16 bowls sugar

4. 14 bowls sugar

Q.

If length = 5 cm and breadth = 2 cm of a rectangle, then the ratio of length to area is _____.

1. 1 : 2
2. 2 : 10
3. 5 : 2
4. 2: 5

Q.

The ratio of $20$ minutes to $1$ hour in the simplest form is:

1. $20:1$

2. $\frac{1}{3}:1$

3. $20:60$

4. $1:3$

Q.

In a class, there are $25$ boys and $20$ girls. Find the ratio in the simplest form of boys to girls.

Q. If a basket contains 15 balls where the ratio of red balls to blue balls is 1 : 2, what is the difference between the number of red balls to blue balls?

1. 3
2. 5
3. 10
4. 1

Q. Ram and Shyam contributed ₹ 10 and ₹ 20 respectively and buy 6 pencils. How many of the 6 pencils should Shyam receive for fair distribution?

1. 2
2. 4
3. 3
4. 1

Q. Alok receivesRS10000 per month on selling toys and RS6000 on raw materials.Find the ratoi of

1. the expenditure to the income;
2. total money received to the income;
3. income to the total money received.

Q. If 20 chocolates are to be divided in the ratio 1 : 4 between X and Y respectively, what is the difference between the number of chocolates received by the both of them?

1. 11
2. 12
3. 15
4. 16