Important Questions for CBSE Class 6 Maths Chapter 12

CBSE Class 6 Maths Important Questions Chapter 12 - Ratio and Proportion - Free PDF Download

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Ch-12 Ratio and Proportion

Divide Rs 60 in the ratio 1 : 2 between Kirti and Kamal.
1. Kirti = Rs 40, Kamal = Rs 20
2. Kirti = Rs 60, Kamal = Rs 30
3. Kirti = Rs 20, Kamal = Rs 40
4. Kirti = Rs 30, Kamal = Rs 60
Three terms a, b, c are said to be in proportion if ______________ .
1. a:b = b:c
2. b:a = c:a
3. a:b = c:b
4. c:a = a:b
Find the ratio of 50 paise to Re 1?
1. it is 1:3
2. it is 1:2
3. it is 2:1
4. None of these
The 30 : 45 is equivalent ratio of …………..
1. it is 1:3
2. it is 2:3
3. it is 1:2
4. it is 3:2
Ravi and Rani started a business and invested money in the ratio 2 : 3. After one year the total profit was Rs 40,000. What is the share of Ravi in profit?
1. Rs 15000
2. Rs 24000
3. Rs 16000
4. Rs 20000
Match the following:
Column A Column B
a. A ratio equivalent to 3 : 7 p. 3 : 1
b. Simplest form of 21 : 7 is q. 30 : 24
c. 5 : 4 is equal to r. 9 : 21
d. Ratio of 35 : 15 is s. 7 : 3
Fill In The Blanks.
1. If 4, a, a, 36 are in proportion then a is equal to ____.
2. 32 m : 64 m : : ____.
3. 5 : 4 = ____.
4. If a = 2b then a : b = ____.
State whether the following statements are True or False:
1. A ratio equivalent to 3 :7 is 9 : 21.
2. The ratio 35 : 84 in simplest form is 7 : 12.
3. A ratio can be equal to 1.
4. 5 :2 = 2 : 5.
Find X in the proportion X : 6 = 25 : 5
The weight of 25 copies is 5 kg. Find the weight of 30 such copies?
Are the following statement true? 45km : 60km = 12 hours : 15 hours.
Write True or False against the following statement :8 : 9 : : 24 : 27.
Are the following statement true? 7.5litre : 15litre = 5kg : 10kg.
Write True or False against the following statement: 5.2 : 3.9 : : 3 : 4.
If 2A = 3B = 4C, find A : B : C

Column A	Column B
a. A ratio equivalent to 3 : 7	p. 3 : 1
b. Simplest form of 21 : 7 is	q. 30 : 24
c. 5 : 4 is equal to	r. 9 : 21
d. Ratio of 35 : 15 is	s. 7 : 3

Answer

1. Kirti = Rs 20, Kamal = Rs 40
  Explanation: ratio = 1 : 2
  ∴ the total parts is 1+2=3so kriti’s share = $\frac{1}{3} \times 60 = \frac{60}{3} = \frac{60 \div 3}{3 \div 3} = \frac{20}{1} = 20$ Rskamal’s share = $\frac{2}{3} \times 60 = \frac{120}{3} = \frac{120 \div 3}{3 \div 3} = \frac{40}{1} = 40$ Rs
1. a:b = b:c
  Explanation: Three terms(a ,b and c) are said to be in proportion if the ratio of the first and the second is equal to the ratio of the second and third.
  a:b=b:c
1. it is 1:2
  Explanation:
  Re 1 ⇒ 100 paisa
  ratio = 50 paisa : Re 1= 50:100 = $\frac{50}{100} = \frac{50 \div 50}{100 \div 50} = \frac{1}{2} = 1 : 2$
1. it is 2:3
  Explanation: 30:45 $\frac{30}{45} = \frac{30 \div 15}{45 \div 15} = \frac{2}{3} = 2 : 3$
1. (c) Rs 16000
  Explanation: sol : given ratio of ravi and rani 2:3 , total part is 2+3=5
  and given profit is 40000ravi share in profit= $\frac{2}{5} \times 40000 = \frac{80000}{5} = R s 16000$
1. $\to$ r
2. $\to$ p
3. $\to$ q
4. $\to$ s
1. 12
2. 6secs : 12sec
3. 30 : 24
4. 2 : 1
1. True
2. False
3. True
4. False
X:6 = 25:5
$\Rightarrow \frac{X}{6} = \frac{25}{5}$
$\Rightarrow \frac{X}{6} = \frac{5}{1}$ (Dividing $\frac{25}{5}$ by 5)
$\Rightarrow X = 5 \times 6 = 30$
$\Rightarrow X = 30$
It is given that
Weight of 25 copies = 5 kg
∴ Weight of 1 copy = 5 ÷25 = 1/5 kg
∴ Weight of 30 copies = 30 $\times$ 1/5= 6 kg
45km : 60km = $\frac{45}{60} = \frac{45 \div 15}{60 \div 15}$ [ $∴$ H.C.F.(45, 60) = 15] $= \frac{3}{4}$ = 3 : 4
12 hours : 15 hours $= \frac{12}{15} = \frac{12 \div 3}{15 \div 3}$ [ $∴$ H.C.F.(12, 15) = 3] $= \frac{4}{5}$ = 4 : 5
Since, the two ratios are not equal, therefore the given statement is false(F).
24 : 27 $= \frac{24}{27} = \frac{24 \div 3}{27 \div 3}$ [ $∴$ H.C.F.(24, 27) = 3] $= \frac{8}{9}$ = 8 : 9
$∵$ 8 : 9 = 24 : 27
$∴$ 8 : 9 : : 24 : 27 is true(T).
7.5 litre : 15 litre
$= \frac{7.5}{15} = \frac{7.5 \times 10}{15 \times 10} = \frac{75}{150} = \frac{75 \div 75}{150 \div 75}$ [ $∴$ H.C.F.(75, 150) = 75] $= \frac{1}{2}$ = 1 : 2
5kg : 10kg $= \frac{5}{10} = \frac{5 \div 5}{10 \div 5}$ [ $∴$ H.C.F.(5, 10) = 5] $= \frac{1}{2}$ = 1 : 2
Since, the two ratios are equal, therefore, the given statement is true (T).
5.2 : 3.9 $= \frac{5.2}{3.9} = \frac{5.2 \times 10}{3.9 \times 10} = \frac{52}{39} = \frac{52 \div 13}{39 \div 13}$ [ $∴$ H.C.F.(52, 39) = 13] $= \frac{4}{3}$ = 4 : 3
$∴$ 4 : 3 $\neq$ 3 : 4
$∴$ 5.2 : 3.9 : : 3 : 4 is false (F).
Let 2A = 3B = 4C = x
So, $A = \frac{x}{2}, B = \frac{x}{3}, C = \frac{x}{4}$
The L.C.M of 2, 3 and 4 is 12
Therefore, A:B:C $= \frac{x}{2} \times 12 : \frac{x}{3} \times 12 : \frac{x}{4} \times 12 = 6 x : 4 x : 3 x = 6 : 4 : 3$
Therefore A:B:C = 6:4:3.

Important Questions for CBSE Class 6 Maths Chapter 12 – Ratio and Proportion

Important Questions for CBSE Class 6 Maths Chapter 12 - Ratio and Proportion

CBSE Class 6 Maths Important Questions Chapter 12 - Ratio and Proportion - Free PDF Download