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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 7 of 15

121. Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?

  • A. 2700
  • B. 1080
  • C. 450
  • D. 1800

Explanation: Six machines produce 270 bottles per minute, so one machine produces 270/6 = 45 bottles per minute.

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Correct answer: 1800

122. Twelve men can do a work in twenty days while twenty women can finish the same work in sixteen days. Find the ratio between the capacity of a man and a woman.

  • A. 3:4
  • B. 5:4
  • C. 4:3
  • D. 5:3

Explanation: The same work can be represented as 12 men x 20 days = 240 man-days or 20 women x 16 days = 320 woman-days.

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Correct answer: 4:3

123. A work can be finished in 16 days by twenty women. The same work can be finished in fifteen days by sixteen men. The ratio between the capacity of a man and a woman is_________?

  • A. 1:3
  • B. 4:3
  • C. 2:3
  • D. 2:1

Explanation: The work equals 20 women x 16 days = 320 woman-days and also 16 men x 15 days = 240 man-days.

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Correct answer: 4:3

124. A man invests some money partly in 9% stock at 96 and partly in 12% stock at 120. To obtain equal dividends from both he must invest the money in the ratio_________?

  • A. 3:4
  • B. 3:5
  • C. 4:5
  • D. 16:15

Explanation: For equal dividends, investment is inversely proportional to the dividend earned per rupee.

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Correct answer: 16:15

125. Masood invests a part of Rs. 12000 in 12% stock at Rs. 120 and the remainder in 15% stock at Rs. 125. If his total dividend per annum is Rs. 1360, how much does he invest in 12% stock at Rs. 120?

  • A. Rs. 4500
  • B. Rs. 6000
  • C. Rs. 5500
  • D. Rs 4000Education

Explanation: If x is invested in the 12% stock at Rs. 120, its income is x x 12/120 = 0.10x. The remaining Rs.

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Correct answer: Rs 4000Education

126. A invested some money in 10% stock at 96. If B wants to invest in an equality good 12% stock, he must purchase a stock worth of___________?

  • A. Rs.50
  • B. Rs.105
  • C. Rs.115.20
  • D. Rs.125.40

Explanation: The 10% stock at Rs. 96 yields 10/96 per rupee invested. For an equally good 12% stock priced at x, set 12/x = 10/96, giving x = (12 x Rs.

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Correct answer: Rs.115.20

127. Rs. 9800 are invested partly in 9% stock at 75 and 10% stock at 80 to have equal amount of incomes. The investment in 9% stock is___________?

  • A. Rs. 4800
  • B. Rs. 5400
  • C. Rs. 5000
  • D. Rs. 5600

Explanation: The 9% stock at Rs. 75 yields 9/75 = 0.12 of the investment, while the 10% stock at Rs. 80 yields 10/80 = 0.125.

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Correct answer: Rs. 5000

128. A invested some money in 10% stock at 96. If B wants to invest in an equally good 12% stock, he must purchase a stock worth of__________?

  • A. Rs. 80
  • B. Rs. 115.20
  • C. Rs. 120
  • D. Rs. 125.40

Explanation: The 10% stock at Rs. 96 gives a yield of 10/96 per rupee invested. If the 12% stock is equally good and its price is P, then 12/P = 10/96…

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Correct answer: Rs. 115.20

129. Rayan invested certain amount for two rates of simple interests at 6% p.a. and 7% p.a. What is the ratio of Rayan's investments if the interests from those investments are equal?

  • A. 4 : 3
  • B. 3 : 2
  • C. 6 : 5
  • D. 7 : 6
  • E. None of theseFinding Low Interest Personal Loans

Explanation: Equal simple interest means P1 x 6% x T = P2 x 7% x T, so P1:P2 = 7:6. Option c, 6:5, incorrectly uses the interest rates in the same…

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Correct answer: 7 : 6

130. In a mixture of milk and water, the proportion of milk by weight was 80%. If, in a 180 gm mixture, 36 gms of pure milk is added, what would be the percentage of milk in the mixture formed?

  • A. 80%
  • B. 100%
  • C. 84%
  • D. 87.5%
  • E. None of these

Explanation: In 180 g of mixture, milk is 80% × 180 g = 144 g and water is 36 g. Adding 36 g of pure milk gives 180 g milk in a total of 216 g, so the…

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Correct answer: None of these

131. In a can, there is a mixture of milk and water in the ratio 4 : 5. If it is filled with an additional 8 litres of milk the can would be full and ratio of milk and water would become 6 : 5. Find the capacity of the can?

  • A. 40
  • B. 44
  • C. 48
  • D. 52

Explanation: Let the original milk and water quantities be 4x litres and 5x litres. After adding 8 litres of milk, (4x + 8):5x = 6:5, so 4x + 8 = 6x…

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Correct answer: 44

132. n what ratio should a variety of rice costing Rs. 6 per kg be mixed with another variety of rice costing Rs. 8.75 per kg to obtain a mixture costing Rs. 7.50 per kg?

  • A. 5 : 6
  • B. 3 : 4
  • C. 7 : 8
  • D. 8 : 9

Explanation: Using alligation, the quantities of rice at Rs. 6 per kg and Rs. 8.75 per kg are in the ratio (8.75 - 7.50):(7.50 - 6) = 1.25:1.50 = 5:6.

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Correct answer: 5 : 6

133. A mixture of 70 litres of milk and water contains 10% water. How many litres of water should be added to the mixture so that the mixture contains 12 1/2% water?

  • A. 2
  • B. 8
  • C. 4
  • D. 5
  • E. None of these

Explanation: The original water is 10% of 70 litres, or 7 litres. If x litres of water are added, (7 + x)/(70 + x) = 12.5% = 1/8; hence 8(7 + x) = 70 +…

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Correct answer: 2

134. All the water in container A which was filled to its brim was poured into two containers B and C. The quantity of water in container B was 62.5% less than the capacity of container A. If 148 liters was now transferred from C to B, then both the containers would have equal quantities of water. What was the initial quantity of water in container A?

  • A. 648
  • B. 888
  • C. 928
  • D. 1184

Explanation: Let the initial quantity in A be x litres. B initially contains 37.5% of x litres = 3x/8, while C contains 5x/8.

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Correct answer: 1184

135. Two varieties of wheat - A and B costing Rs. 9 per kg and Rs. 15 per kg were mixed in the ratio 3 : 7. If 5 kg of the mixture is sold at 25% profit, find the profit made?

  • A. Rs. 13.50
  • B. Rs. 14.50
  • C. Rs. 15.50
  • D. Rs. 16.50
  • E. None of these

Explanation: The mixture costs (3 kg x Rs.9 + 7 kg x Rs.15) / 10 kg = Rs.13.20 per kg.

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Correct answer: Rs. 16.50

136. How many liters of oil at Rs.40 per liter should be mixed with 240 liters of a second variety of oil at Rs.60 per liter so as to get a mixture whose cost is Rs.52 per liter?

  • A. 120 liters
  • B. 180 liters
  • C. 110 liters
  • D. 160 liters

Explanation: Let x litres of the Rs.40 per litre oil be added. Equating total cost to the cost of the mixture gives 40x + 240 litres x Rs.60 per litre…

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Correct answer: 160 liters

137. In what ratio should two varieties of sugar of Rs.18 per kg and Rs.24 kg be mixed together to get a mixture whose cost is Rs.20 per kg?

  • A. 1:3
  • B. 3:1
  • C. 1:2
  • D. 2:1Computer Online Quiz

Explanation: Using alligation, the ratio of Rs.18 per kg sugar to Rs.24 per kg sugar is (Rs.24 - Rs.20) : (Rs.20 - Rs.18) = Rs.4 : Rs.2 = 2:1.

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Correct answer: 2:1Computer Online Quiz

138. A vessel contains 20 liters of a mixture of milk and water in the ratio 3:2. 10 liters of the mixture are removed and replaced with an equal quantity of pure milk. If the process is repeated once more, find the ratio of milk and water in the final mixture obtained?

  • A. 9:1
  • B. 4:7
  • C. 7:1
  • D. 2:5

Explanation: Initially there are 12 litres of milk and 8 litres of water. Removing 10 litres removes 6 litres of milk and 4 litres of water, leaving 6…

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Correct answer: 9:1

139. A mixture of 150 liters of wine and water contains 20% water. How much more water should be added so that water becomes 25% of the new mixture?

  • A. 7 liters
  • B. 15 liters
  • C. 10 liters
  • D. 9 liters

Explanation: The original 150 litres contains 20% water = 30 litres of water and 120 litres of wine.

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Correct answer: 10 liters

140. In what ratio must water be mixed with milk to gain 16 2/3 % by selling the mixture at cost price?

  • A. 1:6
  • B. 2:3
  • C. 4:3
  • D. 6:1

Explanation: Suppose the mixture contains 6 units of milk and 1 unit of water. Selling 7 units at the cost price of 6 units of milk gives a gain of 1/6…

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Correct answer: 1:6
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