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Ratio and Proportion

Free 48+ Ratio and Proportion MCQs for PPSC, FPSC, NTS, and Pakistan government job tests. Practise below with answers and explanations.

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Ratio and Proportion — MCQs for Pakistan government job tests

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Ratio and Proportion

Practice questions

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1.A class has a ratio of males to females of 3 to 5. If there are 24 students in total, how many of them are female?

2.What is the simplified ratio of the salaries of Faheem, Imran, and Naveed if Faheem earns 80,000 rupees, Imran earns 70,000 rupees, and Naveed earns 50,000 rupees?

3.If two numbers have a ratio of 5 to 4 and their difference is 10, what is the greater number?

4.If M, N, and O invest capital in the ratio 2:3:5 and the duration of their investments are in the ratio 4:5:6, how should the profit be shared among them?

5.A collection of coins consists of 50 paise, 1 rupee, and 2 rupee coins in the ratio 2:5:8. If the combined value of all the coins is Rs. 352, what is the total count of coins present?

6.Given three variables X, Y, and Z that satisfy the equation XY = kZ, where k is a constant, initially X is 4 and the ratio X:Y:Z is 2:3:4. If Y is changed to 12 while Z remains unchanged, what is the new value of X?

7.What is the mean proportional value between 5 and 45?

8.Given the ratios X:Y = 2:3 and Y:Z = 4:5, determine the combined ratio X:Y:Z.

9.Two numbers, a and b, have a ratio of 3 to 5. When 2 is added to each number, their ratio changes to 2 to 3. What is the value of b?

10.A rectangular plot is represented on a plan drawn at a scale of 1:500. If the dimensions on the plan are 30 cm in length and 20 cm in width, what is the real area of the plot?

11.A rectangle has its length and width in the ratio 5:4. If the area of the rectangle is 180 cm², what is its perimeter?

12.How should a profit of Rs. 8000 be shared among X, Y, and Z if X invests Rs. 20,000 from the beginning, Y invests Rs. 7,500 for 4 months, and Z invests Rs. 15,000 starting 3 months after the business begins?

13.Given the ratios M to N is 3:4, N to O is 5:7, and O to P is 7:9, what is the ratio of M to P?

14.A triangle has a perimeter of 81 cm, and its sides are proportional to 4:3:2. What is the length of the longest side?

15.In a class, the ratio of boys to girls is 11:13. This year, 4 boys and 8 girls join the class, changing the ratio to 4:5. What is the total number of students in the class now?

16.In a class of 90 students, the ratio of boys to girls is 7 to 8. How many boys are there in the class?

17.Changaz invests Rs.6000 for an entire year in a business partnership, while Nasir contributes Rs.3000 for 6 months. If the total profit is Rs.240, what portion of the profit does Nasir receive?

18.If x percent of 200 equals y percent of 250, what is the ratio of y to x?

19.A collection of 1 rupee, 2 rupee, and 5 rupee coins totals Rs. 264. If their quantities are in the ratio 3:5:4 respectively, how many 1 rupee coins are there?

20.How should Rs. 2000 be split into two parts so that their ratio is 3 to 2?

How to prepare with Ratio and Proportion MCQs

  • Work through questions topic by topic, then revisit any you answered incorrectly.
  • Read explanations carefully—they often cover facts that repeat across PPSC, FPSC, and NTS papers.
  • Pair subject practice with past papers to see how Ratio and Proportion appears in real exam conditions.

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