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Class 6 Maths Chapter 12 Important Question Answers - Ratio and Proportion

Q1: If 2A = 3B = 4C, find A : B : C.
Ans: 
Let 2A = 3B = 4C = x
Class 6 Maths Chapter 12 Important Question Answers - Ratio and Proportion
Therefore A : B : C = 6 : 4 : 3.

Q2: Are the following statement true? 7.5litre : 15litre = 5kg : 10kg.
Ans:
7.5 litre : 15 litre
Class 6 Maths Chapter 12 Important Question Answers - Ratio and Proportion
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:

Class 6 Maths Chapter 12 Important Question Answers - Ratio and Proportion
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
Class 6 Maths Chapter 12 Important Question Answers - Ratio and Proportion

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)
12
(b) 6secs : 12sec
(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 Class 6 Maths Chapter 12 Important Question Answers - Ratio and Proportion

Q7: Find the ratio of 50 paise to Re 1?
Ans: 
Re 1 ⇒ 100 paisa
Class 6 Maths Chapter 12 Important Question Answers - Ratio and Proportion

Q8: Divide Rs 60 in the ratio 1 : 2 between Kirti and Kamal.
Ans: 
Ratio = 1 : 2
Class 6 Maths Chapter 12 Important Question Answers - Ratio and Proportion

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

Class 6 Maths Chapter 12 Important Question Answers - Ratio and Proportion

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

Class 6 Maths Chapter 12 Important Question Answers - Ratio and Proportion

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:

Class 6 Maths Chapter 12 Important Question Answers - Ratio and ProportionAns:
Class 6 Maths Chapter 12 Important Question Answers - Ratio and Proportion
Q14: The 30 : 45 is equivalent ratio of _______.
Ans:

Class 6 Maths Chapter 12 Important Question Answers - Ratio and Proportion

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.

The document Class 6 Maths Chapter 12 Important Question Answers - Ratio and Proportion is a part of the Class 6 Course Mathematics (Maths) Class 6.
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FAQs on Class 6 Maths Chapter 12 Important Question Answers - Ratio and Proportion

1. What is the difference between a ratio and a proportion?
Ans. A ratio is a comparison of two or more quantities, while a proportion is an equation that states that two ratios are equal.
2. How can I simplify a ratio?
Ans. To simplify a ratio, divide both the numerator and denominator by their greatest common divisor.
3. How do I solve a proportion?
Ans. To solve a proportion, cross-multiply the two fractions and then solve for the unknown variable.
4. Can ratios and proportions be used in real-life situations?
Ans. Yes, ratios and proportions are commonly used in various real-life situations, such as cooking recipes, scaling models, and calculating distances on maps.
5. What are some common applications of ratios and proportions in business and finance?
Ans. Ratios and proportions are frequently used in business and finance to analyze financial statements, calculate profit margins, determine market share, and evaluate investment returns.
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