Mixture and alligation
- In what ratio must rice costing ₹42 per kg be mixed with rice costing ₹54 per kg so that the mixture is worth ₹46 per kg? Answer: D. 2 : 1 Answer: (D) 2 : 1 Alligation: cheaper : dearer = (54 - 46) : (46 - 42) = 8 : 4 = 2 : 1 . 1
- In what ratio must rice costing Rs. 42 per kg be mixed with rice costing Rs. 54 per kg so that the mixture costs Rs. 46 per kg? Answer: D. 2 : 1 Answer: (D) 2 : 1 By alligation: (54 − 46) : (46 − 42) = 8 : 4 = 2 : 1. 1
- A 60-litre mixture contains milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 3 : 2? Answer: D. 10 Answer: (D) 10 Milk = 42 L, water = 18 L. Need 42 : (18 + w) = 3 : 2, so 18 + w = 28 and w = 10 L. 1
- A 60-litre mixture contains milk and water in the ratio 7 : 3. How much water must be added to make the ratio 7 : 5? Answer: D. 12 litres Answer: (D) 12 litres Milk = 42 L, water = 18 L. For 7 : 5 with 42 L milk, water must be 42 × 5/7 = 30 L. Water to add... 1