Ratio and Proportion - Worksheets

 CBSE Worksheet 01

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 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

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

CBSE Worksheet 01
Ch-12 Ratio and Proportion

---

Answer

1. 3. Kirti = Rs 20, Kamal = Rs 40
      Explanation: ratio = 1 : 2
      ∴ the total parts is 1+2=3

      so kriti's share = 13×60=603=60÷33÷3=201=20Rs

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

2. 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
3. 2. it is 1:2
      Explanation:
      Re 1 ⇒ 100 paisa
      ratio = 50 paisa : Re 1

      = 50:100 = 50100=50÷50100÷50=12=1:2

4. 2. it is 2:3
      Explanation: 30:45

      3045=30÷1545÷15=23=2:3

5. 3. (c) Rs 16000
      Explanation: sol : given ratio of ravi and rani 2:3 , total part is 2+3=5
      and given profit is 40000

      ravi share in profit=25×40000=800005=Rs16000

6. 1. → r
   2. → p
   3. → q
   4. → s
7. 1. 12
   2. 6secs : 12sec
   3. 30 : 24
   4. 2 : 1
8. 1. True
   2. False
   3. True
   4. False

9. X:6 = 25:5
   ⇒X6=255
   ⇒X6=51 (Dividing 255 by 5)
   ⇒X=5×6=30
   ⇒X=30

10. 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

11. 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).

12. 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).

13. 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).

14. 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).

15. 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.