Ratio and Proportion Aptitude Questions Important Set 01

In competitive exams like SSC CGL, CHSL, Bank, Railway, and other government exams, ratio and proportion aptitude questions are frequently asked to test your understanding of basic arithmetic concepts. Practicing these questions regularly improves your accuracy and problem-solving speed. In this post, we bring you 10 important ratio and proportion aptitude questions from previous exams with options, correct answers, and detailed explanations.

Let’s get started with Ratio and Proportion Aptitude Questions Set 01.

Q1. Two numbers are in the ratio 3:4. If their sum is 56, find the numbers.
A) 24, 32
B) 30, 40
C) 20, 36
D) 21, 35

Correct Option is: A) 24, 32
Explanation: Let the numbers be 3x and 4x.
So, 3x + 4x = 56
→ 7x = 56
→ x = 8
Numbers = 3×8 = 24 and 4×8 = 32

Q2. The ratio of ages of A and B is 4:5. After 5 years, the ratio becomes 5:6. Find their present ages.
A) 20, 25
B) 40, 50
C) 30, 35
D) 24, 30

Correct Option is: A) 20, 25
Explanation: Let present ages be 4x and 5x.
After 5 years: (4x+5)/(5x+5) = 5/6
Cross-multiply: 6(4x+5) = 5(5x+5)
→ 24x + 30 = 25x + 25
→ x = 5
So, A = 4×5 = 20, B = 5×5 = 25

Q3. Divide ₹560 between A and B in the ratio 3:5.
A) ₹210, ₹350
B) ₹240, ₹320
C) ₹280, ₹280
D) ₹260, ₹300

Correct Option is: A) ₹210, ₹350
Explanation: Sum of ratio = 3+5 = 8
A’s share = (3/8)×560 = ₹210
B’s share = (5/8)×560 = ₹350

Q4. If a:b = 2:3 and b:c = 4:5, find a:c.
A) 8:15
B) 2:5
C) 3:5
D) 4:7

Correct Option is: A) 8:15
Explanation: a:b = 2:3
→ a = 2k, b = 3k
b:c = 4:5
→ b = 4m, c = 5m
Make b same:
LCM of 3 and 4 = 12
So, rewrite: a = 8, b = 12, c = 15

Q5. If 3x = 4y, find x:y.
A) 4:3
B) 3:4
C) 4:5
D) 5:4

Correct Option is: A) 4:3
Explanation: 3x = 4y
→ x/y = 4/3
So, x:y = 4:3

Q6. In a mixture of 60 liters, the ratio of milk to water is 2:1. How much water must be added to make the ratio 1:2?
A) 50 liters
B) 60 liters
C) 70 liters
D) 80 liters

Correct Option is: B) 60 liters
Explanation: Milk = (2/3)×60 = 40 L, Water = 20 L
Let x liters water be added:
Now, milk:water = 1:2
→ 40 : (20 + x) = 1:2
Cross-multiply: 2×40 = 20 + x
→ 80 = 20 + x
→ x = 60

Q7. If a:b = 5:6 and b:c = 7:8, then what is a:c?
A) 35:48
B) 5:8
C) 6:7
D) 7:10

Correct Option is: A) 35:48
Explanation: a:b = 5:6
→ a = 5k, b = 6k
b:c = 7:8
→ b = 7m, c = 8m
LCM of 6 and 7 = 42
So, b = 42 in both cases
Then, a = 35, c = 48
a:c = 35:48

Q8. The ratio between two numbers is 7:9. If the difference between them is 16, find the numbers.
A) 56, 72
B) 35, 51
C) 48, 64
D) 63, 79

Correct Option is: A) 56, 72
Explanation: Let numbers be 7x and 9x.
9x – 7x = 2x = 16
→ x = 8
Numbers = 7×8 = 56, 9×8 = 72

Q9. If a:b = 2:3 and b:c = 3:4, then find a²:c²
A) 4:9
B) 9:16
C) 4:16
D) 1:2

Correct Option is: C) 4:16 (since 1:4 = 4:16 simplified)
Explanation: a:b = 2:3, b:c = 3:4
→ a = 2k, b = 3k, c = 4k
Then, a:c = 2:4 = 1:2
So, a²:c² = 1²:2² = 1:4

Q10. The incomes of A and B are in the ratio 5:4 and their expenditures are in the ratio 8:7. If A saves ₹4000 and B saves ₹2000, then find the incomes of A and B.
A) ₹20,000, ₹16,000
B) ₹25,000, ₹20,000
C) ₹24,000, ₹19,000
D) ₹30,000, ₹24,000

Correct Option is:
Explanation: The incomes of A and B are in the ratio 5:4
Let, the Income of A and B are 5x and 4x.
Since, their savings are Rs 4000 and Rs 2000 respectively.
So, the expenditure of A is = Rs (5x-4000),
The expenditure of B is = Rs ( 4x-2000).
Now, ratio of their expenditure is 8:7 (given),
Therefore, (5x-4000)/ ( 4x-2000)=8:7
Solving this equation we get,
X= 4000
So, Income of A is = Rs 5x= Rs 5*4000= Rs 20000 &
Income of B is = Rs 4x= Rs 4*4000= Rs 16000

These ratio and proportion aptitude questions are designed to enhance your problem-solving speed and accuracy. Regular practice of these types of questions ensures a better understanding and performance in exams like SSC CGL, CHSL, and banking exams. Always remember to apply basic ratio formulas and simplify where needed.

👉 Next Practice Set: Ratio and Proportion Aptitude Questions Set 02 »