### Ratio and Proportion - Worksheets

CBSE Worksheet 01

- Divide Rs 60 in the ratio 1 : 2 between Kirti and Kamal.
- Kirti = Rs 40, Kamal = Rs 20
- Kirti = Rs 60, Kamal = Rs 30
- Kirti = Rs 20, Kamal = Rs 40
- Kirti = Rs 30, Kamal = Rs 60

- Three terms a, b, c are said to be in proportion if ______________ .
- a:b = b:c
- b:a = c:a
- a:b = c:b
- c:a = a:b

- Find the ratio of 50 paise to Re 1?
- it is 1:3
- it is 1:2
- it is 2:1
- None of these

- The 30 : 45 is equivalent ratio of ..............
- it is 1:3
- it is 2:3
- it is 1:2
- 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?
- Rs 15000
- Rs 24000
- Rs 16000
- 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.

- If 4, a, a, 36 are in proportion then a is equal to ____.
- 32 m : 64 m : : ____.
- 5 : 4 = ____.
- If a = 2b then a : b = ____.

State whether the following statements are True or False:

- A ratio equivalent to 3 :7 is 9 : 21.
- The ratio 35 : 84 in simplest form is 7 : 12.
- A ratio can be equal to 1.
- 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

CBSE Worksheet 01

Ch-12 Ratio and Proportion

Answer

- 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=20Rs

kamal's share = 23×60=1203=120÷33÷3=401=40Rs

- Kirti = Rs 20, Kamal = Rs 40
- 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

- a:b = b:c
- it is 1:2

Explanation:

Re 1 ⇒ 100 paisa

ratio = 50 paisa : Re 1= 50:100 = 50100=50÷50100÷50=12=1:2

- it is 1:2
- it is 2:3

Explanation: 30:453045=30÷1545÷15=23=2:3

- it is 2:3
- (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

- (c) Rs 16000
- → r
- → p
- → q
- → s

- 12
- 6secs : 12sec
- 30 : 24
- 2 : 1

- True
- False
- True
- False

X:6 = 25:5

⇒X6=255

⇒X6=51 (Dividing 255 by 5)

⇒X=5×6=30

⇒X=30It 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 kg45km : 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).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).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).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).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.