It is a comparison of two quantities. The given ration p and q can be written as **p : q** or **p/q**.

- Determine if the ratio is a fraction or a fraction to a complete.
- Count the parts once and for all if necessary.
- Connect the numbers in the scale.
- Simplify the ratio if necessary. Integer-to-integer ration are prefeered.

A proportion is an equality of two ratios. We write proportions to help us establish equivalent ratios and solve for unknown quantities.

- Write the equation using equivalent ratio.
- Connect known values and use variables to represent unknown values.
- If the numerical value of one ration is a multiple of the corresponding fraction of another value, we can calculate the unknown value by multiplying another part of a given ratio by the same number.
- If the relationship between the two ratio is not clear, solve the unknown value with the varaible it represents.

**Q1**. In a class the number of girls in the merit list of the board examination is two times that of boys.

(a) 1 : 2

(b) 2 : 1

(c) 3 : 1

(d) 1 : 3

**Ans.** Correct option is (b)

The Number of girls is two times the number of boys. girls : boys = 2 : 1

**Q2**. The number of students passing mathematics test is 2/3 of the number that appeared.

(a) 3 : 1

(b) 1 : 2

(c) 3 : 2

(d) 2 : 3

**Ans.** Correct option is (d)

The number of students passing mathematics test to the number that appeared = 2 : 3

**Q3**. Express the ratio 186:403 in simplest form

(a) 6 : 13

(b) 5 : 8

(c) 7 : 9

(d) 13 : 6

**Ans**. Correct option is (a)

To express the ratio in the simplest form, divide by common number, i.e., the H.C.F. which is 31 in case of 186 and 403.

**Q4.** Find 8 kg to 400gm in simplest form.

(a) 1 : 50

(b) 50 : 1

(c) 20 : 1

(d) 1 : 20

**Ans.** Correct option is (c)

8 kg : 400gm convert kg to gm

1 kg = 1000gm

8 Kg = 8 x 1000 = 8000gm

**Q5.** Simplify 3 weeks to 3 days.

(a) 1 : 7

(b) 7 : 1

(c) 1 : 1

(d) 2 : 2

**Ans.** Correct option is (b)

Convert weeks into days, 1 week = 7 days

3 weeks = 3 x 7 = 21days

Before solving the worksheet of Physics Wallah it is highly recommend reading the theory of chapter and solve the questions given in your textbook. Do follow **NCERT Solutions for class 6 Maths** and **NCERT Solutions for class 6 Maths Chapter Ratio and proportion** prepared by Physics Wallah.

For additional information related to the subject you can check the **Maths Formula** section.

**Below link consist of class 6 maths chapter-12 Ratio and Proportion download your free pdf copy from the below mentioned link of Chapter Ratio and Proportion . **