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Free Ratio and Proportion MCQs with Answers

293 Ratio and Proportion MCQs from Mathematics, each with the correct answer and a written explanation of why it is correct. Free and unlimited, with no account needed.

Ratios compare quantities in the same units, while proportions state that two ratios are equal. Problems cover simplification, division in a given ratio, direct and inverse variation, scale, and missing terms, with attention to the difference between a ratio and a fraction representing part of a whole.

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293 questions · page 4 of 15

61. A and B began business with Rs.3000 and Rs.4000 after 8 months, A withdraws Rs.1000 and B advances Rs.1000 more. At the end of the year, their profits amounted to Rs.630 find the share of A.

  • A. Rs.240
  • B. Rs.350
  • C. Rs.340
  • D. Rs.390

Explanation: A contributes Rs.3000 x 8 months + Rs.2000 x 4 months = Rs.32000-months.

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Correct answer: Rs.240

62. A and B enter into partnership with capital as 7:9. At the end of 8 months, A withdraws. If they receive the profits in the ratio of 8:9 find how long B's capital was used?

  • A. 6 months
  • B. 8 months
  • C. 10 months
  • D. 7 months

Explanation: A's capital is used for 8 months, giving a capital-time value of 7 x 8 = 56 capital-months.

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Correct answer: 7 months

63. A and B entered into a partnership investing Rs.25000 and Rs.30000 respectively. After 4 months C also joined the business with an investment of Rs.35000. What is the share of C in an annual profit of Rs.47000?

  • A. Rs.18000
  • B. Rs.15000
  • C. Rs.17000
  • D. Rs.14000

Explanation: A contributes Rs.25000 x 12 months = Rs.300000-months and B contributes Rs.30000 x 12 months = Rs.360000-months.

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Correct answer: Rs.14000

64. A, B, C and D enter into partnership. A subscribes 1/3 of the capital B 1/4, C 1/5 and D the rest. How much share did A get in a profit of Rs.2460?

  • A. Rs.480
  • B. Rs.615
  • C. Rs.820
  • D. Rs.740

Explanation: A subscribes one-third of the total capital, so A receives one-third of the profit when profit follows capital shares.

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Correct answer: Rs.820

65. A, B and C invested Rs.6300, Rs.4200 and Rs.10500 respectively, in a partnership business. Find the share of A in profit of Rs.12100 after a year?

  • A. Rs.3630
  • B. Rs.2840
  • C. Rs.3200
  • D. Rs.5600

Explanation: The investments have the ratio Rs.6300:Rs.4200:Rs.10500 = 3:2:5, with a total of 10 parts.

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Correct answer: Rs.3630

66. The ratio of the prices of three different types of cars is 4:5:7. If the difference between the costliest and the cheapest cars is Rs. 60000 the price of the car of modest price is:

  • A. Rs. 80000
  • B. Rs. 100000
  • C. Rs. 140000
  • D. Rs. 120000

Explanation: The price difference between the costliest and cheapest cars is 7 - 4 = 3 ratio parts, so 3 parts = Rs. 60,000 and 1 part = Rs. 20,000.

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Correct answer: Rs. 100000

67. Two tailors X and Y are paid a total of Rs. 550 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?

  • A. Rs. 200
  • B. Rs. 250
  • C. Rs. 300
  • D. None of these

Explanation: Let Y's weekly pay be Rs.y. X receives 120% of this, so X is paid Rs.1.2y, and Rs.y + Rs.1.2y = Rs.550 gives Rs.2.2y = Rs.550.

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Correct answer: Rs. 250

68. The quality of water that should be added to reduce 9 ml. Lotion containing 50 % alcohol to a lotion containing 30 % alcohol is_________?

  • A. 3 ml
  • B. 4 ml
  • C. 5 ml
  • D. 6 ml

Explanation: The 9 ml lotion contains 9 ml × 50% = 4.5 ml alcohol. For this 4.5 ml alcohol to be 30% of the final mixture, the final volume must be 4.5…

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Correct answer: 6 ml

69. What is the ratio of Faheem's salary to Imran's salary to Naveed's salary if Faheem makes 80,000 rupees ,Imran 70,000 rupees and Naveed makes 50,000 rupees ?

  • A. 80:70:60
  • B. 8:7:5
  • C. 4:7:5
  • D. 7:8:5

Explanation: The salary ratio is Rs. 80,000:Rs. 70,000:Rs. 50,000. Dividing each term by Rs. 10,000 gives 8:7:5, which is already in simplest form.

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Correct answer: 8:7:5

70. Two numbers are in the ratio 5:4 and their difference is 10.What is the largest number?

  • A. 40
  • B. 50
  • C. 60
  • D. 30

Explanation: Write the numbers as 5x and 4x. Their difference is 5x − 4x = x = 10, so the larger number is 5x = 5 × 10 = 50.

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Correct answer: 50

71. 5 % of the income of A is equal to 15 % of the income of B and 10 % of the income of B is equal to 20 % of the income of c. If the income of C is Rs. 2000. What is the total income of A, B and C?

  • A. Rs. 14000
  • B. Rs 16000
  • C. Rs. 18000
  • D. Rs. 12400Quiz Mode Feature

Explanation: The equations give 5% of A = 15% of B, so A = 3B, and 10% of B = 20% of C, so B = 2C. With C = Rs. 2,000, B = Rs. 4,000 and A = Rs.

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Correct answer: Rs. 18000

72. Rs. 395 are divided among A, B and C ins such a manner that B gets 25 % more than A and 20 % more than C. The share of A is:

  • A. Rs. 198
  • B. Rs. 120
  • C. Rs. 180
  • D. Rs. 195

Explanation: Let A's share be Rs. x. B gets 25% more, so B = 1.25x, and since B is 20% more than C, C = 1.25x ÷ 1.20 = 25x/24.

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Correct answer: Rs. 120

73. 605 sweets were distributed equally among children in such a way that the number of sweets received by each child is 20 % of the total number of children. How many sweets did each child receive?

  • A. 11
  • B. 24
  • C. 45
  • D. cannot be determined

Explanation: Let the number of children be n. Each child receives 20% of n = 0.2n sweets, so the total is n × 0.2n = 605; hence n² = 3,025 and n = 55…

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Correct answer: 11

74. If eggs cost $.06 each ,how much should a dozen eggs cost ?

  • A. .56
  • B. $ .80
  • C. $ .72
  • D. $.60Education

Explanation: A dozen contains 12 eggs, so the cost is 12 x $0.06 = $0.72. Option d, $0.60, results from multiplying by 10 instead of recognising that a…

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Correct answer: $ .72

75. Two-fifth of one-third of three-seventh of a number is 15. What is 40% of that number?

  • A. 72
  • B. 84
  • C. 136
  • D. 140
  • E. None of these

Explanation: The given fraction is (2/5) x (1/3) x (3/7) = 2/35, so (2/35)n = 15 and n = 15 x 35/2 = 262.5.

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Correct answer: None of these

76. The ratio of the prices of three articles X, Y and Z is 8 : 5 : 3. If the prices of X , Y and Z are increased by 25%, 20% and 33 1/3% respectively, then what would be the ratio of the new prices of X, Y and Z?

  • A. 5 : 3 : 1
  • B. 5 : 3 : 2
  • C. 10 : 7 : 4
  • D. 10 : 8 : 5
  • E. None of these

Explanation: Apply each increase to the original ratio: X = 8 x 1.25 = 10, Y = 5 x 1.20 = 6, and Z = 3 x 4/3 = 4.

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Correct answer: 5 : 3 : 2

77. The monthly incomes of A and B are in the ratio 5 : 2. B's monthly income is 12% more than C's monthly income. If C's monthly income is Rs. 15000, then find the annual income of A?

  • A. Rs. 420000
  • B. Rs. 180000
  • C. Rs. 201600
  • D. Rs. 504000
  • E. None of these

Explanation: C earns Rs. 15000 per month, so B earns 112% of this: 1.12 x Rs. 15000 = Rs. 16800 per month. Since A:B = 5:2, A earns (5/2) x Rs.

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Correct answer: Rs. 504000

78. There are three numbers. 5/7th of the first number is equal to 48% of the second number. The second number is 1/9th of the third number. If the third number is 1125, then find 25% of the first number?

  • A. 168
  • B. 84
  • C. 42
  • D. 21
  • E. None of these

Explanation: The third number is 1125, so the second is 1125 / 9 = 125. Then 48% of 125 = 60, so (5/7) of the first number is 60 and the first number…

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Correct answer: 21

79. There are two numbers. If 40% of the first number is added to the second number, then the second number increases to its five-fourth. Find the ratio of the first number to the second number?

  • A. 8 : 25
  • B. 25 : 8
  • C. 8 : 5
  • D. 5 : 8
  • E. None of these

Explanation: Let the first and second numbers be x and y. The condition gives y + 0.40x = 1.25y, so 0.40x = 0.25y and x:y = 0.25:0.40 = 5:8; option c…

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Correct answer: 5 : 8

80. If two positive numbers are in the ratio 1/8 : 1/5, then by what percent is the second number more than the first?

  • A. 40%
  • B. 33 1/3%
  • C. 60%
  • D. 66 2/3%
  • E. None of these

Explanation: The ratio 1/8 : 1/5 becomes 5 : 8 after multiplying both terms by 40. The second number exceeds the first by 3 parts, so the percentage…

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Correct answer: 60%
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