Important Questions: Ratio and Proportion

Q1: If 2A = 3B = 4C, find A : B : C.
Ans: Let 2A = 3B = 4C = x

Therefore A : B : C = 6 : 4 : 3.

Q2: Are the following statement true? 7.5litre : 15litre = 5kg : 10kg.
Ans: 7.5 litre : 15 litre

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

Q3: Are the following statement true? 45km : 60km = 12 hours : 15 hours.
Ans:

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

Q4: Find X in the proportion X : 6 = 25 : 5.
Ans: X : 6 = 25 : 5


Q5: Fill In The Blanks.
(a) If 4, a, a, 36 are in proportion then a is equal to ____.
(b) 32 m : 64 m : : ____.
(c) 5 : 4 = ____.
(d) If a = 2b then a : b = ____.
Ans: (a) 

So, a=12

(b)

​

(c) 

= 30 : 24

(d)

=  2 : 1

Q6: 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?
Ans: Given ratio of ravi and rani 2 : 3, total part is 2 + 3 = 5 and given profit is 40000 ravi share in profit

Q7: Find the ratio of 50 paise to Re 1?
Ans: Re 1 ⇒ 100 paisa

Q8: Divide Rs 60 in the ratio 1 : 2 between Kirti and Kamal.
Ans: Ratio = 1 : 2

Q9: Write True or False against the following statement: 5.2 : 3.9 : : 3 : 4.
Ans:

Q10: Write True or False against the following statement: 8 : 9 : : 24 : 27.
Ans:

Q11: The weight of 25 copies is 5 kg. Find the weight of 30 such copies?
Ans: 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

Q12: State whether the following statements are True or False:
(a) A ratio equivalent to 3 : 7 is 9 : 21.
(b) The ratio 35 : 84 in simplest form is 7 : 12.
(c) A ratio can be equal to 1.
(d) 5 : 2 = 2 : 5.

Ans: (a) True(b) False

(c) True

(d) False

Q13: Match the following:

Ans:

Q14: The 30 : 45 is equivalent ratio of _______.
Ans:

Q15: Three terms a, b, c are said to be in proportion if ______________.
Ans: 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.