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Chapter 11: Ratio and Proportion > Exercise 11.2

Exercise 11.2

1. Among the following, which ratios are in the simplest form ? If not, convert them into the simplest form.

Answer:

2 : 3
16 : 20
5 : 6
20 : 60
8 : 15
19 : 2
Simplest Form
Not an Simplest Form

Need to be simplified:

(ii) 16 : 20 = :

(iv) 20 : 60 = :

A bag contains rice and wheat. Find the ratios.

Answer:

Rice = 20 kg Wheat = 60 kg

Ratio of rice to wheat = :

Total weight = kg

Ratio of rice to total weight = :

In a class of 32 students, 12 are girls. Find the following ratios:

Answer:

Total students = Girls = Boys =

(i) Ratio of boys to girls = :

(ii) Ratio of boys to total students = :

(iii) Ratio of girls to total students = :

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4.Observe the given four-sided closed figures. Each figure is divided into equal parts, with some parts shaded. Identify the ratio of shaded parts to unshaded parts in each figure. Verify whether the given ratio is 1:3.

(i)

(ii)

(iii)

(i) Number of shaded parts =

Number of unshaded parts =

Ratio of shaded parts to unshaded parts = 3 : 9 = :

(ii) Number of shaded parts =

Number of unshaded parts =

Ratio of shaded parts to unshaded parts = 2 : 6 = :

(iii) Number of shaded parts =

Number of unshaded parts =

Ratio of shaded parts to unshaded parts = 4 : 12 = :

5. Imran bought 2 liters of oil and Vijay bought 500ml of oil. Find the ratio of quantities of oil bought by Imran to oil bought by Vijay.

Quantity of oil bought by Imran = 2 liters = 2 × ml = ml
Quantity of oil bought by Vijay = ml
The ratio of quantities of oil bought by Imran to oil bought by vijay = :
= 2000500 : 500500 = :

6. Weight of Abraham is 20 kg and his father's weight is 60kg. Find the ratio of weight of Abraham and his father. Express it in the simplest form.

Wight of Abraham = kg
Weight of Abraham's father = kg
Ratio of weight of Abraham and his father = :
= 2020 : 6020 = :
The simplest form is 1:3

7. Ramu spent 25th of his money on a story book. Find the ratio of money spent to the money with him at the beginning.

The money with Ramu be Rs.
Money spent by Ramu on a story book = Rs.1 × 25 =
The ratio of money spent to the money with him at the beginning = 25 : 1 = 25 × × = :