CBSE Class 8 Mathematics Ratio and Proportion MCQs Set 41

Multiple Choice Questions (MCQs) for Class 8 Mathematics: Ratio and Proportion

Review structured MCQ sets for Class 8 Mathematics Ratio and Proportion. Built according to official CBSE guidelines, these downloadable questions support daily revision and core concept reinforcement.

Practice Ratio and Proportion MCQs for Class 8 Mathematics

Access the complete set of multiple-choice questions for Ratio and Proportion below. This focused format allows students to isolate specific topics for thorough review and uninterrupted practice alongside official CBSE textbooks.

Multiple Choice Questions

Question 1: The ratio 60 paise : Rs. 3 in simplest form is
(a) 1 : 5
(b) 5 : 1
(c) 1 : 3
(d) 20 : 1
Show Answer & Explanation

Answer: (a) 1 : 5

Explanation:
1. Rs. 3 = 300 paise
2. Ratio = 60 : 300
3. Divide by 60 to get 1 : 5.

Teacher's Note:
1. Convert both quantities to the same unit first. Then divide both terms by their HCF to get the simplest ratio.

Question 2: The ratio 65 g : 1 kg in simplest form is
(a) 13 : 200
(b) 13 : 2
(c) 65 : 1
(d) 13 : 20
Show Answer & Explanation

Answer: (a) 13 : 200

Explanation:
1. 1 kg = 1000 g
2. 65 : 1000
3. Divide by 5 to get 13 : 200.

Teacher's Note:
1. Convert both quantities to the same unit first. Then divide both terms by their HCF to get the simplest ratio.

Question 3: The ratio 28 : 80 in simplest form is
(a) 14 : 40
(b) 7 : 10
(c) 28 : 40
(d) 7 : 20
Show Answer & Explanation

Answer: (d) 7 : 20

Explanation:
1. HCF of 28 and 80 is 4
2. 28 : 80 = 7 : 20.

Teacher's Note:
1. Write the ratio as a fraction and cancel the common factor. Remove fractions by multiplying by the LCM of the denominators.

Question 4: The ratio \( \frac{1}{10} : \frac{1}{15} \) in simplest form is
(a) 3 : 2
(b) 2 : 3
(c) 1 : 5
(d) 15 : 10
Show Answer & Explanation

Answer: (a) 3 : 2

Explanation:
1. Multiply both terms by 30
2. 3 : 2.

Teacher's Note:
1. Write the ratio as a fraction and cancel the common factor. Remove fractions by multiplying by the LCM of the denominators.

Question 5: Which ratio is greater, 5 : 8 or 6 : 17?
(a) 5 : 8
(b) 6 : 17
(c) They are equal
(d) Cannot be compared
Show Answer & Explanation

Answer: (a) 5 : 8

Explanation:
1. \( \frac{5}{8} \approx 0.625 \) and \( \frac{6}{17} \approx 0.353 \)
2. So 5 : 8 is greater.

Teacher's Note:
1. To compare ratios, write them as fractions and bring them to a common denominator. The larger fraction is the greater ratio.

Question 6: Are 84, 42, 44, 22 in proportion?
(a) No
(b) Only 84 and 42 are proportional
(c) Yes
(d) Cannot be decided
Show Answer & Explanation

Answer: (c) Yes

Explanation:
1. 84 × 22 = 1848
2. 42 × 44 = 1848
3. The products are equal, so they are in proportion.

Teacher's Note:
1. Four numbers a, b, c, d are in proportion when the product of extremes (a × d) equals the product of means (b × c). Check this product first.

Question 7: Are 43, 55, 65, 170 in proportion?
(a) Yes
(b) Yes, if 65 and 170 are swapped
(c) Cannot be decided
(d) No
Show Answer & Explanation

Answer: (d) No

Explanation:
1. 43 × 170 = 7310
2. 55 × 65 = 3575
3. The products differ, so they are not in proportion.

Teacher's Note:
1. Four numbers a, b, c, d are in proportion when the product of extremes (a × d) equals the product of means (b × c). Check this product first.

Question 8: The cost of 20 kg of milk is Rs. 500. The cost of 59 kg of milk is
(a) Rs. 1475
(b) Rs. 1500
(c) Rs. 1425
(d) Rs. 1275
Show Answer & Explanation

Answer: (a) Rs. 1475

Explanation:
1. Cost of 1 kg = 500/20 = Rs. 25
2. Cost of 59 kg = 59 × 25 = Rs. 1475.

Teacher's Note:
1. Use the unitary method: find the value for one unit, then multiply. Keep units consistent throughout.

Question 9: A bus travels 440 km in 8 hours. The time taken to travel 385 km is
(a) 6 hours
(b) 7 hours
(c) 7.5 hours
(d) 8 hours
Show Answer & Explanation

Answer: (b) 7 hours

Explanation:
1. Speed = 440/8 = 55 km/h
2. Time = 385/55 = 7 hours.

Teacher's Note:
1. Use the unitary method: find the value for one unit, then multiply. Keep units consistent throughout.

Question 10: Shreyansh earns Rs. 1500 per month and saves Rs. 250. The ratio of his savings to his earnings is
(a) 1 : 6
(b) 6 : 1
(c) 1 : 5
(d) 5 : 6
Show Answer & Explanation

Answer: (a) 1 : 6

Explanation:
1. 250 : 1500
2. Divide by 250 to get 1 : 6.

Teacher's Note:
1. Convert the amounts to a common unit of comparison, then divide by the HCF.

Question 11: Shreyansh earns Rs. 1500 per month and saves Rs. 250. The ratio of his savings to his expenditure is
(a) 5 : 1
(b) 1 : 6
(c) 1 : 5
(d) 6 : 5
Show Answer & Explanation

Answer: (c) 1 : 5

Explanation:
1. Expenditure = Rs. 1250
2. 250 : 1250 = 1 : 5.

Teacher's Note:
1. Convert the amounts to a common unit of comparison, then divide by the HCF.

Question 12: Find x if 16 : 8 :: 7 : x.
(a) 7
(b) 14
(c) 3
(d) 3.5
Show Answer & Explanation

Answer: (d) 3.5

Explanation:
1. 16 × x = 8 × 7
2. x = 56/16 = 3.5.

Teacher's Note:
1. In a proportion, product of extremes equals product of means. Cross multiply and solve for the unknown.

Question 13: Square A has side 6 cm and square B has side 12 cm. The ratio of the perimeter of B to the perimeter of A is
(a) 1 : 2
(b) 4 : 1
(c) 2 : 1
(d) 1 : 4
Show Answer & Explanation

Answer: (c) 2 : 1

Explanation:
1. Perimeter of B = 48 cm and of A = 24 cm
2. 48 : 24 = 2 : 1.

Teacher's Note:
1. In a proportion, product of extremes equals product of means. Cross multiply and solve for the unknown.

Question 14: If p : q = 2 : 3, then 6p : 2q equals
(a) 2 : 1
(b) 1 : 2
(c) 3 : 2
(d) 12 : 3
Show Answer & Explanation

Answer: (a) 2 : 1

Explanation:
1. Take p = 2k and q = 3k
2. 6p : 2q = 12k : 6k = 2 : 1.

Teacher's Note:
1. In a proportion, product of extremes equals product of means. Cross multiply and solve for the unknown.

Question 15: A triangle has sides 4.2 cm, 4.9 cm and 6.3 cm. The ratio of the lengths of its sides is
(a) 4 : 5 : 6
(b) 6 : 7 : 9
(c) 2 : 3 : 4
(d) 3 : 4 : 5
Show Answer & Explanation

Answer: (b) 6 : 7 : 9

Explanation:
1. Multiply by 10 to get 42 : 49 : 63
2. Divide by 7 to get 6 : 7 : 9.

Teacher's Note:
1. In a proportion, product of extremes equals product of means. Cross multiply and solve for the unknown.

Question 16: Two angles of a triangle are 54° and 72°. The ratio of the third angle to the sum of the first two is
(a) 7 : 3
(b) 1 : 2
(c) 3 : 7
(d) 3 : 4
Show Answer & Explanation

Answer: (c) 3 : 7

Explanation:
1. Third angle = 180 - 126 = 54°
2. Ratio = 54 : 126
3. Divide by 18 to get 3 : 7.

Teacher's Note:
1. In a proportion, product of extremes equals product of means. Cross multiply and solve for the unknown.

Question 17: Find the missing number: \( \square : 6 = 12 : 18 \).
(a) 6
(b) 2
(c) 9
(d) 4
Show Answer & Explanation

Answer: (d) 4

Explanation:
1. x/6 = 12/18
2. x = 4.

Teacher's Note:
1. Equivalent ratios stay equal when both terms are multiplied or divided by the same number. Use this to fill the missing term.

Question 18: If \( \frac{x}{4} = \frac{7}{20} \), then x equals
(a) \( \frac{5}{7} \)
(b) 7
(c) \( \frac{7}{5} \)
(d) \( \frac{20}{7} \)
Show Answer & Explanation

Answer: (c) \( \frac{7}{5} \)

Explanation:
1. x = 4 × 7/20
2. x = 28/20 = 7/5.

Teacher's Note:
1. Equivalent ratios stay equal when both terms are multiplied or divided by the same number. Use this to fill the missing term.

Question 19: If 5 : 1 = 3 : x, then x equals
(a) \( \frac{3}{5} \)
(b) \( \frac{5}{3} \)
(c) 15
(d) 3
Show Answer & Explanation

Answer: (a) \( \frac{3}{5} \)

Explanation:
1. 5x = 3
2. x = 3/5.

Teacher's Note:
1. Equivalent ratios stay equal when both terms are multiplied or divided by the same number. Use this to fill the missing term.

Question 20: If 3 : x = 2 : 5, then x equals
(a) \( \frac{6}{5} \)
(b) \( \frac{15}{2} \)
(c) \( \frac{5}{6} \)
(d) 10
Show Answer & Explanation

Answer: (b) \( \frac{15}{2} \)

Explanation:
1. 3/x = 2/5
2. 2x = 15
3. x = 15/2.

Teacher's Note:
1. Equivalent ratios stay equal when both terms are multiplied or divided by the same number. Use this to fill the missing term.

Question 21: The ratio 2 years : 10 months in simplest form is
(a) 5 : 12
(b) 1 : 5
(c) 12 : 5
(d) 2 : 10
Show Answer & Explanation

Answer: (c) 12 : 5

Explanation:
1. 2 years = 24 months
2. 24 : 10
3. Divide by 2 to get 12 : 5.

Teacher's Note:
1. Convert both quantities to the same unit first. Then divide both terms by their HCF to get the simplest ratio.

Question 22: The ratio 80 : 480 in simplest form is
(a) 1 : 5
(b) 6 : 1
(c) 8 : 48
(d) 1 : 6
Show Answer & Explanation

Answer: (d) 1 : 6

Explanation:
1. HCF is 80
2. 80 : 480 = 1 : 6.

Teacher's Note:
1. Convert both quantities to the same unit first. Then divide both terms by their HCF to get the simplest ratio.

Question 23: Are 7, 6, 49, 36 in proportion?
(a) Yes
(b) Yes, if the order is reversed
(c) No
(d) Cannot be decided
Show Answer & Explanation

Answer: (c) No

Explanation:
1. 7 × 36 = 252
2. 6 × 49 = 294
3. The products differ, so they are not in proportion.

Teacher's Note:
1. Convert both quantities to the same unit first. Then divide both terms by their HCF to get the simplest ratio.

Question 24: Are 450, 400, 350, 300 in proportion?
(a) Yes
(b) Only 450 and 400 are proportional
(c) Cannot be decided
(d) No
Show Answer & Explanation

Answer: (d) No

Explanation:
1. 450 × 300 = 135000
2. 400 × 350 = 140000
3. The products differ, so they are not in proportion.

Teacher's Note:
1. Convert both quantities to the same unit first. Then divide both terms by their HCF to get the simplest ratio.

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Ratio and Proportion Objective Questions & Solutions for Class 8 Mathematics

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FAQs

Where can I access latest CBSE Class 8 Mathematics Ratio and Proportion MCQs Set 41?

You can get most exhaustive CBSE Class 8 Mathematics Ratio and Proportion MCQs Set 41 for free on StudiesToday.com. These MCQs for Class 8 Mathematics are updated for the 2026-27 academic session as per CBSE examination standards.

Are Assertion-Reasoning and Case-Study MCQs included in the Mathematics Class 8 material?

Yes, our CBSE Class 8 Mathematics Ratio and Proportion MCQs Set 41 include the latest type of questions, such as Assertion-Reasoning and Case-based MCQs. 50% of the CBSE paper is now competency-based.

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By solving our CBSE Class 8 Mathematics Ratio and Proportion MCQs Set 41, Class 8 students can improve their accuracy and speed which is important as objective questions provide a chance to secure 100% marks in the Mathematics.

Do you provide answers and explanations for CBSE Class 8 Mathematics Ratio and Proportion MCQs Set 41?

Yes, Mathematics MCQs for Class 8 have answer key and brief explanations to help students understand logic behind the correct option as its important for 2026 competency-focused CBSE exams.

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