# 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

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Ch-12 Ratio and Proportion

1. 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
2. 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
3. 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
4. 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
5. 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
6. Match the following:

Column AColumn B
a. A ratio equivalent to 3 : 7p. 3 : 1
b. Simplest form of 21 : 7 isq. 30 : 24
c. 5 : 4 is equal tor. 9 : 21
d. Ratio of 35 : 15 iss. 7 : 3
7. 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 = ____.
8. 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.
9. Find X in the proportion X : 6 = 25 : 5

10. The weight of 25 copies is 5 kg. Find the weight of 30 such copies?

11. Are the following statement true? 45km : 60km = 12 hours : 15 hours.

12. Write True or False against the following statement :8 : 9 : : 24 : 27.

13. Are the following statement true? 7.5litre : 15litre = 5kg : 10kg.

14. Write True or False against the following statement: 5.2 : 3.9 : : 3 : 4.

15. If 2A = 3B = 4C, find A : B : C

1. Kirti = Rs 20, Kamal = Rs 40
Explanation: ratio = 1 : 2
∴ the total parts is 1+2=3so kriti’s share = $13×60=603=60÷33÷3=201=20$Rskamal’s share = $23×60=1203=120÷33÷3=401=40$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 = $50100=50÷50100÷50=12=1:2$
1. it is 2:3
Explanation: 30:45$3045=30÷1545÷15=23=2:3$
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=$25×40000=800005=Rs16000$
1. $→$ r
2. $→$ p
3. $→$ q
4. $→$ s
1. 12
2. 6secs : 12sec
3. 30 : 24
4. 2 : 1
1. True
2. False
3. True
4. False
1. X:6 = 25:5
$⇒X6=255$
$⇒X6=51$ (Dividing $255$ by 5)
$⇒X=5×6=30$
$⇒X=30$
2. It is given that
Weight of 25 copies = 5 kg
∴ Weight of 1 copy = 5 ÷25 = 1/5 kg
∴ Weight of 30 copies = 30 $×$ 1/5= 6 kg
3. 45km : 60km = $4560=45÷1560÷15$[$∴$H.C.F.(45, 60) = 15] $=34$ = 3 : 4
12 hours : 15 hours $=1215=12÷315÷3$[$∴$H.C.F.(12, 15) = 3] $=45$ = 4 : 5
Since, the two ratios are not equal, therefore the given statement is false(F).
4. 24 : 27 $=2427=24÷327÷3$[$∴$H.C.F.(24, 27) = 3] $=89$ = 8 : 9
$∵$ 8 : 9 = 24 : 27
$∴$ 8 : 9 : : 24 : 27 is true(T).
5. 7.5 litre : 15 litre
$=7.515=7.5×1015×10=75150=75÷75150÷75$[$∴$H.C.F.(75, 150) = 75] $=12$ = 1 : 2
5kg : 10kg $=510=5÷510÷5$[$∴$H.C.F.(5, 10) = 5] $=12$ = 1 : 2
Since, the two ratios are equal, therefore, the given statement is true (T).
6. 5.2 : 3.9 $=5.23.9=5.2×103.9×10=5239=52÷1339÷13$[$∴$H.C.F.(52, 39) = 13] $=43$ = 4 : 3
$∴$ 4 : 3 $≠$ 3 : 4
$∴$ 5.2 : 3.9 : : 3 : 4 is false (F).
7. Let 2A = 3B = 4C = x
So, $A=x2,B=x3,C=x4$
The L.C.M of 2, 3 and 4 is 12
Therefore, A:B:C $=x2×12:x3×12:x4×12=6x:4x:3x=6:4:3$
Therefore A:B:C = 6:4:3.