Ratio and Proportion MCQs MCQs - Maths Practice | PakExamPoint

Practise Ratio and Proportion MCQs MCQs in Maths. Attempt multiple-choice questions, check answers and revise related subtopics.

Ratio and Proportion MCQs MCQs and revision practice

Study Ratio and Proportion MCQs through multiple-choice questions in Maths. This subtopic contains 287 practice questions. Read the wording carefully, compare the options and attempt an answer before checking the solution in learning mode.

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Ratio and Proportion MCQs: questions and answer review

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41. The ratio of last year income of A, B & C was 3 : 4:5. While the ratio of their last year income to current year income is 4:5;2:3 and 3:4 respectively. If their total current year income is Rs. 98500. Find the present income of A?

Check answer and explanation

Answer: 22500

Explanation Last year income ratio: A:B:C = 3:4:5 = 12:16:20 Last year : Current year income ratio: A = 4:5 B = 2:3 C = 3:4 Current income ratio: A:B:C = (12/4 × 5) : (16/2 × 3) : (20/3 × 4) = 15 : 24 : 80/3 = 45 : 72 : 80 Total = 45 + 72 + 80 = 197 parts A's current income = (45/197) × 98500 = 22500 Last verified on 17-01-2026

42. The ratio of two numbers is 5:6, and their LCM is 480; then their HCF is?

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Answer: 16

Explanation Let the two numbers be 5x and 6x, where x is their HCF. Step 1: Calculate the LCM The LCM of 5x and 6x is 30x. Step 2: Find x Given that the LCM is 480, we can set up the equation: 30x = 480 x = 480 / 30 x = 16

43. A person has Rs 2, Rs 5, and Rs 10 coins amounting to Rs 472. If the ratio of the number of these coins is 2:3:4, find the number of Rs 2 coins?

Check answer and explanation

Answer: 16

Explanation Let's denote the number of coins as 2x, 3x, and 4x for Rs 2, Rs 5, and Rs 10 coins, respectively. The total value is: 2(2x) + 5(3x) + 10(4x) = 472 4x + 15x + 40x = 472 59x = 472 x = 8 Number of Rs 2 coins = 2x = 2(8) = 16

44. A photographer has rectangular-shaped photographs with a ratio length to width of 9 inches to 6 inches. Which ratio could NOT represent the size of the photographs? 45 inches by 28 inches, 27 inches by 18 inches, 54 inches by 36 inches, 36 inches by 24 inches

Check answer and explanation

Answer: 45 inches by 28 inches

Explanation Original ratio: 9:6 = 3:2 Checking options: 45:28 ≠ 3:2 27:18 = 3:2 54:36 = 3:2 36:24 = 3:2 Answer: 45 inches by 28 inches Last verified on 17-03-2026

45. The age of Ashraf is 15 years, 10 months and the age of Akmal is 17 years, 5 months. Find the ratio between their ages?

Check answer and explanation

Answer: 10:11

Explanation To find the ratio between their ages, we need to convert their ages to a common unit (months): Ashraf's age: 15 years × 12 months/year = 180 months - 10 months = 190 months Akmal's age: 17 years × 12 months/year = 204 months - 5 months = 209 months Now, find the ratio: Ashraf's age : Akmal's age = 190 : 209 Simplify the ratio: 190 ÷ 19 = 10 209 ÷ 19 = 11 So, the ratio is: 10 : 11

46. The salaries of A, B and C are in the ratio 1 : 3 : 4. If the salaries are increased by 5%, 10% and 15% respectively, then the increased salaries will be in the ratio?

Check answer and explanation

Answer: 21 : 66 : 92

Explanation Initially, the salaries are in the ratio 1:3:4. Let's assume the salaries are x, 3x, and 4x. After the increases: A's salary increases by 5%, so the new salary is x + 5% of x = x + 0.05x = 1.05x B's salary increases by 10%, so the new salary is 3x + 10% of 3x = 3x + 0.10(3x) = 3.30x C's salary increases by 15%, so the new salary is 4x + 15% of 4x = 4x + 0.15(4x) = 4.60x Now, let's find the ratio of the increased salaries: 1.05x : 3.30x : 4.60x To simplify, divide each term by 0.05x (the smallest common multiple): 1.05x / 0.05x = 21 3.30x / 0.05x = 66 4.60x / 0.05x = 92 So, the increased salaries are in the ratio 21:66:92.

47. Two numbers are in the ratio 3:4. If the sum of numbers is 63, the numbers are ______?

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Answer: 27, 36

Explanation Let numbers = 3x, 4x 3x + 4x = 63 7x = 63 x = 9 Numbers = 3x = 27 , 4x = 36 Last verified on 11-03-2026

48. Hyder and Ahsan set up a business together with the initial investment of Rs. 90,000 and Rs. 60,000 respectively. At the end of the year, they earned a profit of Rs. 45,000. Find the share of Ahsan in the profit?

Check answer and explanation

Answer: Rs. 18,000

Explanation Given: Hyder’s investment = Rs. 90,000 Ahsan’s investment = Rs. 60,000 Total profit = Rs. 45,000 Step 1: Find the ratio of their investments Hyder : Ahsan = 90,000 : 60,000 = 3 : 2 Step 2: Divide the profit in the ratio 3:2 Total parts = 3 + 2 = 5 Ahsan’s share = (2/5) × 45,000 = Rs. 18,000

49. When one thing increases and the others increase in the same way, this is called?

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Answer: Direct proportion

Explanation In direct proportion , both quantities increase or decrease together at the same rate. In inverse proportion , when one quantity increases , the other decreases in the same ratio.

50. What is the ratio of 8 inches to 7 feet?

Check answer and explanation

Answer: 2:21

Explanation Convert feet to inches and simplify 8/ 84 ​ = 2 : 21 .

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