Class 6 Exam > Class 6 Notes > RD Sharma Solutions for Class 6 Mathematics > RD Sharma Solutions -Page No.9.9, Ratio Proportion And Unitary Method, Class 6, Maths
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PAGE NO 9.9:
Question 1: Which ratio is larger in the following pairs?
(i) 3 : 4 or 9 : 16
(ii) 15 : 16 or 24 : 25
(iii) 4 : 7 or 5 : 8
(iv) 9 : 20 or 8 : 13
(v) 1 : 2 or 13 : 27
ANSWER:
(i) 3 : 4
3 : 4 or 9 : 16
∵ 3 : 4 = 12 : 16 (After multiplying by 4)
And 12 > 9
∴ 3 : 4 > 9 : 16
(ii) 24 : 25
15 : 16 or 24 : 25
∵ 15 : 16 : : 375 : 400 (After multiplying by 25)
And, 24 : 25 : : 384 : 400 (After multiplying by 16)
And 375 < 384
∴ 15 : 16 < 24 : 25
(iii) 5 : 8
4 : 7 or 5 : 8
∵ 4 : 7 : : 32 : 56 (After multiplying by 8)
And, 5 : 8 : : 35 : 56 (After multiplying by 7)
And 32 < 35
∴ 4 : 7 < 5 : 8
(iv) 8 : 13
9 : 20 or 8 : 13
∵ 9 : 20 : : 117 : 260 (After multiplying by 13)
And, 8 : 13 : : 160 : 260 (After multiplying by 20)
And 117 < 160
∴ 9 : 20 < 8 : 13
(v) 1 : 2
1 : 2 or 13 : 27
∵ 1 : 2 : : 27 : 54 (After multiplying by 27)
And, 13 : 27 : : 26 : 54 (After multiplying by 16)
And 27 > 26
∴ 1 : 2 > 13 : 27
Question 2: Give two equivalent ratios of 6 : 8.
ANSWER:
Two equivalent ratios of 6 : 8 are 3 : 4 and 9 : 12.
Question 3: Fill in the following blanks:
ANSWER:
12/20=3/5 (Dividing numerator and denominator by 4)
35=915 (Multiplying numerator and denominator by 3)
∴ 12/20 = 3/5 = 9/15
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FAQs on Page No.9.9, Ratio Proportion And Unitary Method, Class 6, Maths RD Sharma Solutions - RD Sharma Solutions for Class 6 Mathematics
| 1. What is the definition of ratio in mathematics? |  |
Ans. In mathematics, a ratio is a comparison of two or more quantities. It is the quotient or fraction obtained by dividing one quantity by another.
| 2. How do you simplify ratios? | |
Ans. To simplify a ratio, you need to find the greatest common divisor (GCD) of the two numbers in the ratio and divide both numbers by the GCD. This will give you the simplified or simplest form of the ratio.
| 3. What is the difference between ratio and proportion? | |
Ans. While both ratio and proportion involve comparing two or more quantities, the main difference lies in the fact that a ratio is a simple comparison, whereas a proportion is an equation that states that two ratios are equal.
| 4. How can unitary method be used in problem-solving? | |
Ans. Unitary method is a problem-solving technique in which we find the value of a single unit and then use it to find the value of the entire quantity. It can be used to solve various types of problems, such as finding the cost of a single item when the cost of a certain number of items is known.
| 5. Can you provide an example of a ratio and proportion problem? | |
Ans. Sure! Here's an example: If the ratio of boys to girls in a class is 3:5 and the total number of students is 80, how many girls are there in the class?
To solve this problem, we can set up a proportion:
3/8 = x/80, where x represents the number of girls.
Cross-multiplying, we get 3 * 80 = 8x
240 = 8x
Dividing both sides by 8, we find x = 30.
Therefore, there are 30 girls in the class.
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