Application of Ratios in Everyday Life

Q.

Simplest form of 36/48 is:

1. 3/4

2. 24/36

3. 1/4

4. 3/2

Q. Blue and yellow paints are mixed in the ratio 2 : 5 to make a new colour. 6 litres more of yellow than blue is taken. How many litres of blue paint is mixed?

1. 4 L
2. 8 L
3. 10 L
4. 12 L

Q.

Divide$₹720$ between Rajat and Raju in the ratio $3˸7$.

Q.

In a regular polygon if the ratio of inner and outer angle is 7:2, then find the number of sides in the polygon.

1. 10

2. 9

3. 8

4. 7

Q.

The monthly salary of a person is ₹$15,000$ and his expenditure is ₹$8,000$. Find the ratio of his savings to income.

1. 8:15

2. 7:15

3. 15:7

4. 8:8

Q.

To mix a particular shade of purple paint, red paint and blue paint are mixed in the ratio $5:3$. To make $20$ gallons of this shade of purple paint, how many gallons of red and blue paint should be used?

Q.

Find the ratio of the number of squares to the number of triangles from the given figure :

1. 5 : 4

2. 4 : 5

3. 10 : 8

4. 8 : 10

Q.

The length of a pencil is 15 cm and its radius is 3 cm. Find the ratio of its length to diameter.

1. 2:5

2. 5:2

3. 5:1

4. 1:5

Q. A milkman mixes $4$ litres of milk with $2$ litres of water. How many litres of water is required so that he can mix it with $20$ litres of milk without getting caught?

1. $9$ litres
2. $8$ litres
3. $10$ litres
4. $12$ litres

Q. The length and breadth of a rectangle are in ratio 7:5. If the rectangle is enlarged by increasing the length by 6 cm, then the new ratio is 2:1. Find the length and breadth of the original rectangle.

1. 12cm, 10cm
2. 14cm, 12cm
3. 15cm, 10cm
4. 14cm, 10cm

Q.

If blue and yellow paints are mixed in the ratio 7:5 to make a new colour, blue paint is used 10 litres more than yellow paint then find how many litres of blue and yellow paint is used.

1. blue paint = 25 litres

2. blue paint = 35 litres

3. yellow paint = 25 litres

4. yellow paint = 20 litres

Q.

To start a business if Raju invested ₹20000, Ravi invested ₹30000 and Surya invested ₹40000, they got a total profit of ₹450 and decided to divide in the ratio of investments then how much money did Ravi get?

1. ₹180

2. ₹270

3. ₹90

4. ₹360

Q.

If the length, breadth and height of a cuboid are in ratio 3: 4: 5 and its volume is 48000cm${}^3$ then find the length, breadth and height of the cuboid.

1. length = 80 cm, breadth = 60 cm and height = 100 cm

2. length = 60 cm, breadth = 80 cm and height = 100 cm

3. length = 120 cm, breadth = 40 cm and height = 10 cm

4. length = 10 cm, breadth = 40 cm and height = 120 cm

Q.

The outer angles of the triangle are in the ratio $4:5:6$. Find the measures of the smallest angle.

1. $144°$

2. $96°$

3. $120°$

4. $106°$

Q. The number of boys and girls in a class are in ratio $7:5$. The number of boys is $8$ more than the number of girls. What is the total class strength?

Q.

In a mixture of 60 litres, the ratio of milk and water is 2:1. If this ratio is to be 1:2, then the quanity of water to be further added in litres is:

Q.

Length of a desk is 20 cm and breadth is 15 cm. Find the ratio of its breadth to length.

1. 1:4

2. 8:13

3. 3:4

4. 4:3

Q.

The length , breadth and height of a rectangular block are in the ratio 5 : 3 : 4. It's Volume is 3840 cc.

Find the breadth.

1. 15 cm

2. 10 cm

3. 12 cm

4. 9 cm

Q.

Question 125 (ii)

The plan and measurement for a house are given in the figure. The house is surrounded by a path 1 m wide.

Find the cost of wooden flooring inside the house except the bathroom at the cost of ₹ 1200 per $m^2$

Q.

A factory manufactures $400$ boxes a day, out of which $28$ are defective. Find the ratio of the number of good boxes produced to the defective ones.

Q.

In a regular polygon if the ratio of inner and outer angle is 3:2 then the inner angle of the polygon is

1. 108${}^{\circ }$

2. 100${}^{\circ }$

3. 70${}^{\circ }$

4. 36${}^{\circ }$

Q.

The sides of a triangular plot are in the ratio of 3:5:7 and its perimeter is 300m. Its area is

1. $1500\sqrt{2}{m}^2$

2. $1500\sqrt{3}{m}^2$

3. $1425\sqrt{2}{m}^2$

4. $1500m^2$

Q.

A food item contains the ingredients of maida, water and sugar. If the ratio of maida and water is 7:5 and the ratio of water and sugar is 4:3, then what is the ratio of all three?

1. 14: 10: 15

2. 28: 4: 3

3. 28: 20: 15

4. 28: 10: 15

Q. A green grocer had a profit of Rs. 47 on Monday, a loss of Rs. 12 on Tuesday and loss of Rs. 8 on Wednesday. Find his net profit or loss in 3 days.

Q. A car covers 20 km in 40 mins while a bike covers 20 km in 30 mins. What is the difference in their rates?

1. $\frac{1}{3}\text{km/min}$
2. $\frac{1}{5}\text{km/min}$
3. $\frac{1}{6}\text{km/min}$
4. $\frac{2}{5}\text{km/min}$

Q.

The side of a square ABCD is 5 cm and another square PQRS has perimeter equal to 40 cm. Find the ratio of the perimeter of ABCD to perimeter of PQRS. Find the ratio of the area ABCD to the area of PQRS.

Q.

If the number of boys and girls in a class are in ratio 7:9 and there are 14 girls more than boys then find the number of girls in the class.

1. 63

2. 60

3. 50

4. 49

Q.

In a school there are$3000$ students out of which $1800$ are boys. Find the ratio between

Boys and girls

Q.

John invested ₹ 25000 , Rafay ₹ 20000 and Usman ₹ 10000 to start a business together.

They got ₹ 2200 profit in a month which they divided in the ratio of their investments. How much did Rafay get ?

1. ₹ 600

2. ₹ 200

3. ₹ 1000

4. ₹ 800

Q.

If the ratio of angles in a triangle is 1:2:3 then find the value of the greatest angle and the smallest angle in the triangle.

1. Greatest angle is 90${}^{\circ }$

2. Greatest angle is 180${}^{\circ }$

3. Smallest angle is 60${}^{\circ }$

4. Smallest angle is 30${}^{\circ }$