Alligation or Mixture
1. How much water must be added to milk in order to make 20% when the mixture is sold at cost price?
A. 2:5
B. 1:5
C. 3:5
D. 1:3
B. 1:5
2. Find the ratio that will get a mixture of Rs. 6.30 per kg by mixing rice at Rs. 7.20 per kg with rice at Rs. 5.70 per kg.
A. 2:3
B. 4:5
C. 3:5
D. 1:3
A. 2:3
3. How much water must be added to a litre of milk that costs Rs. 12 to make a combination that costs Rs. 8 per litre?
A. 2:1
B. 3:2
C. 1:2
D. 2:3
C. 1:2
4. What proportion of two different types of pulses, each costing Rs. 15 and Rs. 20 per kg, must be mixed to create a mixture that costs Rs. 16.50 per kg?
A. 7:3
B. 3:7
C. 5:7
D. 7:5
A. 7:3
5. To make a mixture of Rs. 16.50 per kg, how much should a grocer mix two types of pulses that cost Rs. 15 and Rs. 20 per kg, respectively?
A. 3:7
B. 7:3
C. 7:5
D. 5:7
B. 7:3
6. A marchant sells some part of 1000 kg of sugar at 8% profit and the rest for 18% profit. Overall, he makes 14% profit. The amount sold with a profit margin of 18% is:
A. 600 kg
B. 640 kg
C. 540 kg
D. 560 kg
A. 600 kg
7. How much water must be added to a litre of milk that costs Rs. 12 to make a combination that costs Rs. 8 per litre?
A. 2:1
B. 3:2
C. 1:2
D. 2:3
C. 1:2
8. A vessel has 60L milk. If 12L is replaced with water twice, what is the final milk quantity?
A. 38.4L
B. 40L
C. 42.5L
D. 45L
A. 38.4L
9. Three solutions (10%, 20%, 50%) are mixed in 1:2:1 ratio. What is the final concentration?
A. 20%
B. 25%
C. 27.5%
D. 30%
C. 27.5%
10. A grocer mixes 5kg of wheat at ₹8/kg with 15kg at ₹12/kg. What is the average cost/kg?
A. ₹9
B. ₹10
C. ₹11
D. ₹12
C. ₹11
11. 100L of 20% alcohol is left to evaporate until volume reduces to 50L. What is the new concentration?
A. 20%
B. 30%
C. 40%
D. 50%
C. 40%
12. How much water must be added to 30L of 80% milk to make it 50% milk?
A. 12L
B. 15L
C. 18L
D. 20L
C. 18L
13. A trader mixes two varieties of pulses costing ₹15/kg and ₹20/kg in 3:2 ratio and sells at ₹22/kg. What is the profit %?
A. 10%
B. 20%
C. 30%
D. 40%
B. 20%
14. A milkman mixes water (₹0/L) with milk (₹50/L) to sell at ₹40/L, gaining 25%. What is the water:milk ratio?
A. 1:4
B. 1:5
C. 1:6
D. 1:7
A. 1:4
15. Two alloys (A: 3:2 Cu:Zn, B: 4:5 Cu:Zn) are mixed in 2:3 ratio. What is the final Cu:Zn ratio?
A. 7:8
B. 8:7
C. 6:7
D. 7:6
C. 6:7
16. A 50L mixture has milk and water in 7:3. How much milk must be added to make it 80% milk?
A. 10L
B. 15L
C. 20L
D. 25L
D. 25L
17. A mixture has A:B:C in 1:2:3 ratio. If 10L of A is added, the ratio becomes 2:3:4. What was the original volume?
A. 30L
B. 45L
C. 60L
D. 90L
C. 60L
18. A trader mixes two types of rice (₹30/kg and ₹45/kg) to sell at ₹42/kg with 20% profit. What is the mixing ratio?
A. 2:1
B. 3:2
C. 1:2
D. 2:3
C. 1:2
19. If 5L of water at 60°C is mixed with 10L at 20°C, what is the final temperature?
A. 30°C
B. 33.33°C
C. 40°C
D. 45°C
B. 33.33°C
20. A shopkeeper mixes two varieties of sugar priced at ₹40/kg and ₹60/kg. If he sells the mixture at ₹54/kg with 10% discount, what is the mixing ratio?
A. 2:1
B. 3:2
C. 3:4
D. 4:5
C. 3:4