Use of Proportions for Situations

Q.

There are.45 persons working in an office. If the number of females is 25 and the remaining are males, find the ratio of

(a) The number of females to the number of males.

(b) The number of males to the number of females.

Q. Question 101 (ii)

Find the scale.
Actual size 45 feet, Drawing size 5 inches

Q. The area of a rectangular field is $250m^2$. If the length and width of the field are in the ratio $2:5$, find the perimeter of the field.

1. $70m$
2. $60m$
3. $80m$
4. $50m$

Q.

Ram drew a line segment of length 10 cm. He told Arjun that he has scaled down. The scale used by him is 2 cm = 100 m. What is the actual length of the line segment?

1. 50m

2. 500m

3. 1000m

4. 600m

Q.

The ratio between weights of gold and silver in an alloy is $17:3$. If the weight of silver in the alloy is $2.7gm$, find:

the weight of gold in the alloy

Q.

$12,14,9$ and ____ are in proportion.

Q.

Solve the following problems using the method of proportion.

The shadow of a $5m$ high tree at certain time is $80cm$ long. How long will be the shadow of a person at the same time who is $1.25m$tall?

Q.

Anmol drew a circle and divided it in to four equal parts.Express area of the shaded part to the area of the circle in ratio?

1. 1/5

2. 1/4

3. 3/4

4. 1/2

Q.

Anmol drew a circle and divided it into four equal parts.

Find the ratio of the area of the shaded part and area of the circle.

1. 1/4

2. 3/4

3. 1/2

4. 1/5

Q.

Present age of father is $42\mathrm{years}$ and that of his son is $14\mathrm{years}$. Find the ratio of age of father to the age of son when father was $30\mathrm{years}$ old.

Q.

Ramesh drew a line segment of length 10 cm. He told Arjun that he has scaled it down.

The scale used by him is 2cm = 100m. What is the actual length of the line segment?

1. 50m

2. 500m

3. 600m

4. 1000m

Q.

Ram drew a line segment of length 10 cm. He told Arjun that he has scaled down. The scale used by him is 2cm = 100m. What is the actual length of the line segment?

1. 1000m

2. 500m

3. 50m

4. 600m

Q. In a class room, three-fourth of the boys are above 160 cm in height and they are 18 in number. Also out of the total strength, the boys form only two-third and the rest are girls. Find the total strength of the class.

Q. What will be the first proportion when third proportion is 5. Second proportion is 4 more than the first proportion and fourth proportion is 7 more than the third proportion.

1. 7
2. 20
3. $\frac{7}{20}$
4. $\frac{20}{7}$

Q.

Height of Raman is 150cm and height of his younger brother is 125cm.

$\frac{\text{Height of Raman}}{\text{Height of his younger brother}}=\frac{5}{6}$

1. True

2. False

Q. There are 20 boys in a class and the ratio of the number of boys to the total number of students is 1 : 3. Find the ratio of the number of girls to the total number of students.

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

Q. Vijoy wants to buy 10 crayons. If the cost of 4 crayons is ₹ 16, then, how much Vijoy has to pay for 10 crayons?

1. ₹ 100
2. ₹ 16
3. ₹ 40
4. ₹ 60

Q. If in a room 10 beds can be placed, then how many beds can be placed if the size of the room is halved?

1. 10
2. 5
3. 4
4. 8

Q. Is this pair of ratios equal? why?
$\frac{8}{4},\frac{2}{1}$

Q.

In a proportion , there are _______ terms

Q. There are two ropes, the shorter one being 2 m long and the other one being 8 m long. Then, find the ratio of the length of the longer to shorter rope.

Q. 40 kg of wheat flour is needed for a family of 4 members. How many kgs of the same will be required if the number of members increases by 10.

1. 140 kg
2. 120 kg
3. 160 kg
4. 100 kg