CBSE Class 8 Mathematics Ratio and Proportion MCQs Set 50

Practice MCQs for Class 8 Mathematics Ratio and Proportion

Access targeted multiple-choice questions for Ratio and Proportion designed to align with the latest CBSE academic syllabus for Class 8 Mathematics. These objective practice sets help students evaluate their conceptual understanding and improve exam readiness.

Access Ratio and Proportion Questions and Solutions

View or download the dedicated Ratio and Proportion MCQ resource below. Practicing these 50 objective questions regularly builds familiarity with standard exam patterns and helps secure higher marks in final Mathematics evaluations.

Multiple Choice Questions

Question 1: The fourth proportional to \( 6, 8 \) and \( 15 \) is
(a) \( 15 \)
(b) \( 25 \)
(c) \( 10 \)
(d) \( 20 \)
Show Answer & Explanation

Answer: (d) \( 20 \)

Explanation:
1. \( 6:8=15:x \), \( x=\frac{8\times15}{6}=20 \).

Teacher's Note:
1. \( x=\frac{bc}{a} \).

Question 2: The cost of \( 16 \) bags of washing powder, each \( 1.5 \) kg, is Rs. \( 672 \). The cost of \( 18 \) bags of the same powder, each \( 2 \) kg, is
(a) Rs. \( 1004 \)
(b) Rs. \( 1008 \)
(c) Rs. \( 1000 \)
(d) Rs. \( 1006 \)
Show Answer & Explanation

Answer: (b) Rs. \( 1008 \)

Explanation:
1. First lot \( =24 \) kg for Rs. \( 672 \), i.e. Rs. \( 28 \) per kg.
2. Second lot \( =36 \) kg, cost \( =36\times28=1008 \).

Teacher's Note:
1. Find the price per kg.

Question 3: \( 55 \) cows graze a field in \( 16 \) days. The number of cows that will graze the same field in \( 10 \) days is
(a) \( 88 \)
(b) \( 80 \)
(c) \( 77 \)
(d) \( 35 \)
Show Answer & Explanation

Answer: (a) \( 88 \)

Explanation:
1. More cows means fewer days (inverse proportion): \( 55\times16=x\times10 \).
2. \( x=88 \).

Teacher's Note:
1. Product of cows and days is constant.

Question 4: The sum of two numbers is \( 40 \) and their difference is \( 4 \). The greater number divided by \( 11 \) gives
(a) \( 1 \)
(b) \( 3 \)
(c) \( 2 \)
(d) \( 4 \)
Show Answer & Explanation

Answer: (c) \( 2 \)

Explanation:
1. The numbers are \( 22 \) and \( 18 \).
2. \( 22\div11=2 \).

Teacher's Note:
1. Find both numbers first.

Question 5: The mean proportional between \( 0.5 \) and \( 1922 \) is
(a) \( 961 \)
(b) \( 32 \)
(c) \( 31 \)
(d) \( 30 \)
Show Answer & Explanation

Answer: (c) \( 31 \)

Explanation:
1. Mean proportional \( =\sqrt{0.5\times1922}=\sqrt{961}=31 \).

Teacher's Note:
1. The mean proportional is the square root of the product.

Question 6: Rs. \( 950 \) is divided among A, B and C in the ratio \( 5:11:3 \). The difference between the shares of B and A divided by \( 150 \) is
(a) \( 2 \)
(b) \( 1 \)
(c) \( 3 \)
(d) \( 4 \)
Show Answer & Explanation

Answer: (a) \( 2 \)

Explanation:
1. One part \( =\frac{950}{19}=50 \).
2. B \( - \) A \( =6\times50=300 \) and \( \frac{300}{150}=2 \).

Teacher's Note:
1. Use the number of parts.

Question 7: A man earns Rs. \( 805 \) per week. In how many days will he earn Rs. \( 1840 \)?
(a) \( 13 \) days
(b) \( 14 \) days
(c) \( 16 \) days
(d) \( 15 \) days
Show Answer & Explanation

Answer: (c) \( 16 \) days

Explanation:
1. Per day \( =\frac{805}{7}=115 \).
2. Days \( =\frac{1840}{115}=16 \).

Teacher's Note:
1. Find the daily earning first.

Question 8: On a day, \( 200 \) US dollars are worth Rs. \( 9666 \). How many dollars can be bought for Rs. \( 5074.65 \)?
(a) \( 305 \)
(b) \( 100 \)
(c) \( 105 \)
(d) \( 205 \)
Show Answer & Explanation

Answer: (c) \( 105 \)

Explanation:
1. One dollar \( =\frac{9666}{200}=48.33 \).
2. \( \frac{5074.65}{48.33}=105 \).

Teacher's Note:
1. Find the value of one dollar.

Question 9: \( 70 \) patients in a hospital consume \( 1350 \) litres of milk in \( 30 \) days. At the same rate, how many patients will consume \( 1710 \) litres in \( 28 \) days?
(a) \( 100 \)
(b) \( 90 \)
(c) \( 105 \)
(d) \( 95 \)
Show Answer & Explanation

Answer: (d) \( 95 \)

Explanation:
1. Per patient per day \( =\frac{1350}{70\times30}=\frac{9}{14} \) litre.
2. Patients \( =\frac{1710}{28\times\frac9{14}}=95 \).

Teacher's Note:
1. Milk is proportional to patients and days.

Question 10: The ratio of boys to girls in a school is \( 2:5 \). If there are \( 350 \) students in all, the number of girls is
(a) \( 200 \)
(b) \( 250 \)
(c) \( 100 \)
(d) \( 150 \)
Show Answer & Explanation

Answer: (b) \( 250 \)

Explanation:
1. Total parts \( =7 \); one part \( =50 \).
2. Girls \( =5\times50=250 \).

Teacher's Note:
1. Divide the total by the sum of the parts.

Question 11: Rs. \( 625 \) is divided among A, B and C such that A gets \( \frac29 \) of B's share and C gets \( \frac34 \) of A's share. The shares of A, B and C respectively are
(a) Rs. \( 100 \), Rs. \( 450 \), Rs. \( 75 \)
(b) Rs. \( 200 \), Rs. \( 300 \), Rs. \( 400 \)
(c) Rs. \( 100 \), Rs. \( 400 \), Rs. \( 70 \)
(d) Rs. \( 450 \), Rs. \( 100 \), Rs. \( 75 \)
Show Answer & Explanation

Answer: (a) Rs. \( 100 \), Rs. \( 450 \), Rs. \( 75 \)

Explanation:
1. Let B \( =9k \). Then A \( =2k \) and C \( =\frac34\times2k=1.5k \).
2. \( 9k+2k+1.5k=12.5k=625 \), so \( k=50 \).
3. A \( =100 \), B \( =450 \), C \( =75 \).

Teacher's Note:
1. Express all three shares in terms of one letter.

Question 12: The compound ratio of \( 1:2 \), \( 3:5 \) and \( 5:9 \) is
(a) \( 1:3 \)
(b) \( 1:6 \)
(c) \( 9:10 \)
(d) \( 3:10 \)
Show Answer & Explanation

Answer: (b) \( 1:6 \)

Explanation:
1. Multiply the antecedents and the consequents: \( \frac{1\times3\times5}{2\times5\times9}=\frac{15}{90} \).
2. \( =\frac16 \), so the ratio is \( 1:6 \).

Teacher's Note:
1. The compound ratio is the product of the fractions.

Question 13: The contents of two vessels containing water and milk in the ratios \( 1:3 \) and \( 1:6 \) are mixed in the ratio \( 1:5 \). The ratio of water to milk in the mixture is
(a) \( 27:141 \)
(b) \( 9:47 \)
(c) \( 1:3 \)
(d) \( 1:6 \)
Show Answer & Explanation

Answer: (b) \( 9:47 \)

Explanation:
1. Water: \( \frac14+5\times\frac17=\frac{27}{28} \). Milk: \( \frac34+5\times\frac67=\frac{141}{28} \).
2. Ratio \( =27:141=9:47 \).

Teacher's Note:
1. Reduce the final ratio.

Question 14: The mean proportional between \( 3 \) and \( 75 \) is
(a) \( 14 \)
(b) \( 20 \)
(c) \( 16 \)
(d) \( 15 \)
Show Answer & Explanation

Answer: (d) \( 15 \)

Explanation:
1. \( \sqrt{3\times75}=\sqrt{225}=15 \).

Teacher's Note:
1. Square root of the product.

Question 15: When \( 15 \) is subtracted from the mean proportional between \( 3 \) and \( 192 \), the result is
(a) \( 12 \)
(b) \( 6 \)
(c) \( 24 \)
(d) \( 9 \)
Show Answer & Explanation

Answer: (d) \( 9 \)

Explanation:
1. Mean proportional \( =\sqrt{3\times192}=\sqrt{576}=24 \).
2. \( 24-15=9 \).

Teacher's Note:
1. Mean proportional is the square root of the product.

Question 16: The compound ratio of \( 5:6 \), \( 12:19 \), \( 57:60 \) and \( 50:31 \) is
(a) \( 25:31 \)
(b) \( 50:31 \)
(c) \( 31:25 \)
(d) \( 5:31 \)
Show Answer & Explanation

Answer: (a) \( 25:31 \)

Explanation:
1. \( \frac56\times\frac{12}{19}\times\frac{57}{60}\times\frac{50}{31}=\frac{25}{31} \) after cancelling \( 6,19,12,60 \).

Teacher's Note:
1. Cancel in pairs.

Question 17: \( 11 \) men can dig \( 6\frac34 \) m of trench in one day. How many men are needed to dig \( 27 \) m in one day?
(a) \( 44 \)
(b) \( 40 \)
(c) \( 54 \)
(d) \( 25 \)
Show Answer & Explanation

Answer: (a) \( 44 \)

Explanation:
1. Men are proportional to the length: \( \frac{x}{11}=\frac{27}{6.75}=4 \).
2. \( x=44 \).

Teacher's Note:
1. Direct proportion.

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Practice MCQs for Class 8 Mathematics Ratio and Proportion

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FAQs

Where can I access latest CBSE Class 8 Mathematics Ratio and Proportion MCQs Set 50?

You can get most exhaustive CBSE Class 8 Mathematics Ratio and Proportion MCQs Set 50 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 50 include the latest type of questions, such as Assertion-Reasoning and Case-based MCQs. 50% of the CBSE paper is now competency-based.

How do practicing Mathematics MCQs help in scoring full marks in Class 8 exams?

By solving our CBSE Class 8 Mathematics Ratio and Proportion MCQs Set 50, 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 50?

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.

Can I practice these Mathematics Class 8 MCQs online?

Yes, you can also access online interactive tests for CBSE Class 8 Mathematics Ratio and Proportion MCQs Set 50 on StudiesToday.com as they provide instant answers and score to help you track your progress in Mathematics.