NCERT Solutions for Class 6 Maths Chapter 12 Ratio and Proportion Ex 12.2

Ncert Solutions For Class 6 Maths Chapter 12 Ratio And Proportion Ex 12.2 Ratio And Proportion Exercise 12.2 Class 6 Maths Chapter 12 Ratio And Proportion Exercise 12.2

NCERT Solutions for Class 6 Maths Chapter 12 Ratio and Proportion Ex 12.2

Question 1.
Determine if the following are in proportion:
(a) 15, 45, 40, 120
(b) 33, 121, 9, 96
(c) 24, 28, 36, 48
(d) 32, 48, 70, 210
(e) 4, 6, 8, 12
(f) 33, 44, 75, 100
Solution :





Question 2.
Write True (T) or False (F) against each of the following statements :
(a) 16: 24: : 20: 30
(b) 21: 6: 35: 10
(c) 12: 18: 28: 12
(d) 8: 9: : 24: 27
(e) 5.2: 3.9: : 3: 4
(f) 0.9: 0.36: : 10: 4
Solution :




Question 3.
Are the following statements true₹ I
(a) 40 Persons : 200 Persons =₹ 15: ₹75 ;
(b) 7.5 litre : 15 litre = 5 kg : 10 kg 1
(c) 99 kg : 45 kg = f 44 : ₹20
(d) 32 m : 64 m = 6 sec: 12 sec
(e) 45 km: 60 km = 12 hours : 15 hours.
Solution :


Since the two ratios are equal, therefore, the given statement is true.

Since the two ratios are equal, therefore, the given statement is true.

Since, the two ratios are equal, therefore, the given statement is true.


Since the two ratios are equal, therefore the given statement is true.

Since the two ratios are not equal, therefore the given statement is false.

Question 4.
Determine if the following ratios form a proportion. Also, write the middle terms and extreme terms where the ratios form a proportion.
(a) 25 cm: 1 m and 7 40 : 7160
(b) 39 litre : 65 litre and 6 bottle : 10 bottle
(c) 2 kg : 80 kg and 25 g : 625 g
(d) 200 ml: 2.5 litre and ₹4 ; ₹ 50.
Solution :
(a)
∴ 1 m= 100 cm

Since the two ratios are equal, therefore, the given ratios are in proportion. Middle terms are 1 m and ₹ 40. Extreme terms are 25 cm and ₹ 160.

Since the two ratios are equal, therefore, the given ratios are in proportion. Middle terms are 65 liters and 6 bottles. Extreme terms are 39 liters and 10 bottles.


Since the two ratios are not equal, therefore, the given ratios are not in proportion.

Since the two ratios are equal, therefore, the given ratios are in proportion. Middle terms are 2.5 litres and ₹ 4. Extreme terms are 200 ml and ₹ 50.

Question 1

Check whether 12, 18, 20, and 30 are in proportion.

Solution

Compare the ratios:

1218=23\frac{12}{18} = \frac{2}{3}1812​=32​

and

2030=23\frac{20}{30} = \frac{2}{3}3020​=32​

Since both ratios are equal:

$12:18=20:30$

Answer

Yes, the numbers are in proportion.

Question 2

Are 4, 6, 8, and 12 in proportion?

Solution

Check the ratios:

46=23\frac{4}{6} = \frac{2}{3}64​=32​

and

812=23\frac{8}{12} = \frac{2}{3}128​=32​

Both ratios are equal.

Answer

Yes, they are in proportion.

Question 3

Find the missing number in the proportion 5 : 10 = 15 : x

Solution

Using the proportion rule:

510=15x\frac{5}{10} = \frac{15}{x}105​=x15​

Cross multiply:

$5x=10\times 15$

$5x=150$

$x=30$

Answer

The missing number is:

$30$

Question 4

Find x if 8 : x = 24 : 30

Solution

Write in fractional form:

8x=2430\frac{8}{x} = \frac{24}{30}x8​=3024​

Cross multiply:

$8\times 30=24x$

$240=24x$

$x=10$

Answer

The value of x is:

$10$