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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
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.
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? |  |
| 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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