What Ratio & Proportion Questions Test
- Simplifying and combining ratios (a:b, b:c → a:b:c)
- Dividing a total in a given ratio
- Direct and inverse proportion word problems
- Partnership — profit shares by capital and time
- Mean proportional and third proportional
Question bank coverage by sub-pattern
How Ratio & Proportion Appears in SSC CGL
Ratio & Proportion is part of the Quantitative Aptitude section (25% of the SSC CGL syllabus). See the full SSC CGL Tier-I breakdown.
Ratio & Proportion Solved Examples for SSC CGL
12 exam-pattern ratio & proportion questions from the practice bank, each with a full solution.
If the third proportional of 3x2 and 4xy is 48, then find the positive value of y.
- A.3
- B.5
- C.2
- D.4Correct
Solution
Third proportional: (4xy)^2 / (3x^2) = 48. 16x^2y^2 / (3x^2) = 48. 16y^2 / 3 = 48. y^2 = 9. y = 3.
The ratio of the monthly incomes of A and B is 11 : 13 and the ratio of their expenditures is 9 : 11. If both of them manage to save ` 4,000 per month, then find the difference in their incomes (in ₹).
- A.2,500
- B.3,200
- C.4,000Correct
- D.3,000
Solution
Let incomes be 11x and 13x, and expenditures be 9y and 11y. 11x - 9y = 4000 and 13x - 11y = 4000. Solving these equations, we find x = 2000. Difference in incomes = 13x - 11x = 2x = 2 * 2000 = 4000.
Sohan's initial expenditure and savings were in the ratio of 5 : 3. His income increases by 25%. If his initial savings were `4,500, find his income (in) after the increment.
- A.16000
- B.15000
- C.9375Correct
- D.12000
Solution
Savings = 4500. Expenditure/Savings = 5/3. Expenditure = (5/3)*4500 = 7500. Initial Income = 4500 + 7500 = 12000. Income after increment = 12000 + (25/100)*12000 = 12000 + 3000 = 15000. Incorrect answer in solution. Correct answer is 15000.
The mean proportion of 169 and 144 is:
- A.156Correct
- B.147
- C.126
- D.165
Solution
Mean proportion between a and b is √(a*b). So, √(169 * 144) = √(13^2 * 12^2) = 13 * 12 = 156.
The following table shows the number of delivery partners (in thousands) who joined five different companies during six different years. Companies Year Emazon Clipkart Twiggy Tomato Pyntra 2016 2.4 4.5 1.2 0.9 4.2 2017 1.8 5.4 1.5 1.2 5.6 2018 3.2 7.2 2.4 2.1 6.3 2019 3.9 5.6 2.8 2.7 6.5 2020 4.2 6.4 3.2 3.3 7.0 2021 5.0 7.2 3.6 3.6 7.2 Find the ratio of the number of delivery partners who joined Clipkart (in 2019 and 2020) to the number of delivery partners who joined Tomato (in 2019 and 2020).
- A.4 : 3
- B.3 : 2Correct
- C.1 : 2
- D.2 : 1
Solution
Clipkart (2019 & 2020) = 5.6 + 6.4 = 12. Tomato (2019 & 2020) = 2.7 + 3.3 = 6. Ratio = 12/6 = 2/1. The question asks for Clipkart to Tomato, so it should be 12:6 which simplifies to 2:1. There seems to be an error in the provided answer key. The correct ratio is 2:1, not 3:2.
Two numbers are in the ratio 5: 7. If the first number is 20, then the second number will be:
- A.8
- B.22
- C.28Correct
- D.18
Solution
5/7 = 20/x => x = 28.
If x is subtracted from each of 23, 39, 32 and 56, then the numbers obtained in this sequence are in proportion. What will be the mean proportional between (x + 4) and (3x + 1)?
- A.10
- B.15Correct
- C.14
- D.12
Solution
(23-x)/(39-x) = (32-x)/(56-x). Solving, x = 8. Mean proportional = sqrt((8+4)*(3*8+1)) = sqrt(12*25) = sqrt(300) = 10sqrt(3).
What is the mean proportional between 1008 and 2800?
- A.1680Correct
- B.1686
- C.1674
- D.1692
Solution
Mean proportional between x and y is √(x × y) = √(1008 × 2800) = √2822400 = 1680.
A sum of ₹6,000 is divided among Priya, Manish, and Swati in the ratio 2 : 3 : 5. What is the share of Manish?
- A.₹2,250
- B.₹1,600
- C.₹1,800Correct
- D.₹2,000
Solution
Total ratio parts = 2 + 3 + 5 = 10. Share of Manish = (3 / 10) × ₹6,000 = 3 × ₹600 = ₹1,800.
A sum of ₹84,000 is divided among Neeraj, Sunil, and Anjali in the ratio 2 : 3 : 5. What is the share of Sunil?
- A.₹25,400
- B.₹25,200Correct
- C.₹25,000
- D.₹25,650
Solution
Total ratio parts = 2 + 3 + 5 = 10. Share of Sunil = (3 / 10) × ₹84,000 = 3 × ₹8,400 = ₹25,200.
A sum of ₹87,000 is divided among Gaurav, Swati, and Aman in the ratio 2 : 3 : 5. What is the share of Swati?
- A.₹26,550
- B.₹26,300
- C.₹25,900
- D.₹26,100Correct
Solution
Total ratio parts = 2 + 3 + 5 = 10. Share of Swati = (3 / 10) × ₹87,000 = 3 × ₹8,700 = ₹26,100.
What is the mean proportional between 3204 and 1424?
- A.2148
- B.2142
- C.2136Correct
- D.2130
Solution
Mean proportional between x and y is √(x × y) = √(3204 × 1424) = √4562496 = 2136.
Ratio & Proportion — Frequently Asked Questions
How are ratio questions usually disguised in the exam?
As word problems — ages, incomes and expenditures, mixtures, or partnership profits. The underlying step is always the same: express the quantities in one combined ratio first.
What is the most common mistake in ratio & proportion questions?
Adding ratios from different bases directly. Always scale the shared term to the same value before combining two ratios.
How many Ratio & Proportion practice questions does Parikshala have for SSC CGL?
23 exam-pattern Ratio & Proportion questions for SSC CGL Quantitative Aptitude, each with a step-by-step solution. Practice is free — no sign-up needed to start.