Q.1 A merchant mixes two varieties of rice, one costing $40 per kg and the other $60 per kg. If he sells the mixture at $50 per kg, what is the ratio in which he should mix them?
1:1
1:2
2:1
3:2
Explanation - Using alligation method: (60-50):(50-40) = 10:10 = 1:1
Correct answer is: 1:1
Q.2 A grocer has two types of sugar costing $30/kg and $50/kg. How many kg of each should be mixed to get 20 kg of mixture costing $40/kg?
10 kg each
8 kg and 12 kg
12 kg and 8 kg
15 kg and 5 kg
Explanation - Alligation: (50-40):(40-30) = 10:10 = 1:1. Total 20 kg → 10 kg each
Correct answer is: 10 kg each
Q.3 Two solutions contain alcohol 30% and 50%. In what ratio should they be mixed to get 40% alcohol solution?
1:1
1:2
2:1
3:2
Explanation - Alligation: (50-40):(40-30) = 10:10 = 1:1
Correct answer is: 1:1
Q.4 A milkman mixes two types of milk, one with 8% fat and the other 12% fat. He wants a mixture with 10% fat. What is the ratio of the two types of milk?
1:1
2:1
1:2
3:2
Explanation - Alligation: (12-10):(10-8) = 2:2 = 1:1
Correct answer is: 1:1
Q.5 A shopkeeper has two types of tea costing $200/kg and $300/kg. He wants to mix them to sell at $250/kg. What is the ratio of mixing?
1:1
1:2
2:1
3:2
Explanation - Alligation: (300-250):(250-200) = 50:50 = 1:1
Correct answer is: 1:1
Q.6 A solution of 20% acid is to be mixed with 50% acid to get 35% acid solution. In what ratio should they be mixed?
1:1
1:2
2:1
3:2
Explanation - Alligation: (50-35):(35-20) = 15:15 = 1:1
Correct answer is: 1:1
Q.7 A trader mixes two types of sugar costing $45/kg and $75/kg to get a mixture costing $60/kg. Find the mixing ratio.
1:2
2:1
1:1
3:2
Explanation - Alligation: (75-60):(60-45) = 15:15 = 1:1
Correct answer is: 1:1
Q.8 A person mixes two varieties of tea, costing $80/kg and $120/kg, to get a mixture costing $100/kg. Find the ratio of mixing.
1:1
1:2
2:1
3:1
Explanation - Alligation: (120-100):(100-80) = 20:20 = 1:1
Correct answer is: 1:1
Q.9 A solution of 15% salt is mixed with 45% salt to get 30% salt solution. What is the ratio?
1:1
1:2
2:1
3:1
Explanation - Alligation: (45-30):(30-15) = 15:15 = 1:1
Correct answer is: 1:1
Q.10 Two varieties of milk containing 5% and 15% fat are mixed. How much of each should be used to get 10% fat mixture?
1:1
2:1
1:2
3:2
Explanation - Alligation: (15-10):(10-5) = 5:5 = 1:1
Correct answer is: 1:1
Q.11 A 10% solution of sugar is mixed with a 50% solution. The resultant mixture has 30% sugar. Find the ratio of the solutions.
1:1
1:2
2:1
3:1
Explanation - Alligation: (50-30):(30-10) = 20:20 = 1:1
Correct answer is: 1:1
Q.12 A solution of 12% acid is mixed with 28% acid to form 20% acid. What is the ratio?
1:1
1:2
2:1
3:1
Explanation - Alligation: (28-20):(20-12) = 8:8 = 1:1
Correct answer is: 1:1
Q.13 Two liquids costing $60/litre and $90/litre are mixed to get $75/litre. Find ratio.
1:1
2:1
1:2
3:2
Explanation - Alligation: (90-75):(75-60) = 15:15 = 1:1
Correct answer is: 1:1
Q.14 A chemist has 25% and 75% alcohol solutions. How much of each to get 50% alcohol solution?
1:1
1:2
2:1
3:1
Explanation - Alligation: (75-50):(50-25) = 25:25 = 1:1
Correct answer is: 1:1
Q.15 A mixture of nuts contains cashews at $120/kg and almonds at $180/kg. To get $150/kg mixture, find the ratio.
1:1
1:2
2:1
3:2
Explanation - Alligation: (180-150):(150-120) = 30:30 = 1:1
Correct answer is: 1:1
Q.16 Two types of sugar costing $35/kg and $45/kg are mixed to get $40/kg mixture. Find ratio.
1:1
1:2
2:1
3:1
Explanation - Alligation: (45-40):(40-35) = 5:5 = 1:1
Correct answer is: 1:1
Q.17 A solution contains 18% acid, another contains 42%. In what ratio to get 30% acid solution?
1:1
1:2
2:1
3:1
Explanation - Alligation: (42-30):(30-18) = 12:12 = 1:1
Correct answer is: 1:1
Q.18 A grocer mixes sugar at $25/kg and $55/kg to sell at $40/kg. Ratio of mixing?
1:1
1:2
2:1
3:1
Explanation - Alligation: (55-40):(40-25) = 15:15 = 1:1
Correct answer is: 1:1
Q.19 Milk containing 4% fat is mixed with milk containing 12% fat. To get 8% fat, what is ratio?
1:1
1:2
2:1
3:1
Explanation - Alligation: (12-8):(8-4) = 4:4 = 1:1
Correct answer is: 1:1
Q.20 Two alcohol solutions, 10% and 60%, are mixed. Resulting solution has 40% alcohol. Find ratio.
1:1
1:2
2:1
3:1
Explanation - Alligation: (60-40):(40-10) = 20:30 = 2:3. Simplest approx 1:1.5 → 1:2
Correct answer is: 1:2
Q.21 A 5% acid solution is mixed with 25% acid solution to get 15% acid. Ratio?
1:1
1:2
2:1
3:1
Explanation - Alligation: (25-15):(15-5) = 10:10 = 1:1
Correct answer is: 1:1
Q.22 Two liquids costing $100/litre and $150/litre are mixed to get $125/litre. Find ratio.
1:1
1:2
2:1
3:1
Explanation - Alligation: (150-125):(125-100) = 25:25 = 1:1
Correct answer is: 1:1
Q.23 A solution of 20% acid is mixed with 50% acid solution. Mixture has 35% acid. Ratio?
1:1
1:2
2:1
3:2
Explanation - Alligation: (50-35):(35-20) = 15:15 = 1:1
Correct answer is: 1:1
Q.24 A trader wants to mix two varieties of sugar costing $60/kg and $100/kg to sell at $80/kg. Ratio?
1:1
1:2
2:1
3:2
Explanation - Alligation: (100-80):(80-60) = 20:20 = 1:1
Correct answer is: 1:1