Mixtures and Allegations for SBI PO, FREE PDF & Live Quiz

Q1. A can complete a work in 12 days and B can complete the same work in 15 days. In how many days will A and B together complete the work?

Q2. A can do a piece of work in 20 days, B in 25 days, and C in 40 days. In how many days will all three together complete the work?

Q3. A and B together can complete a work in 12 days. A alone can finish it in 20 days. How many days will B alone take to finish the work?

Q4. A can finish a work in 18 days. B is 50% more efficient than A. In how many days will B finish the same work?

Q2. Two solutions A and B contain acid and water in the ratio 3:2 and 2:3 respectively. In what ratio should they be mixed to get a solution with 50% acid?

Q3. A shopkeeper mixes two varieties of rice costing ₹40/kg and ₹60/kg in the ratio 3:2. He sells the mixture at ₹55/kg. Find his profit percentage.

Q4. A container has 80 litres of pure milk. 20 litres is taken out and replaced with water. This process is repeated twice more. What is the amount of milk remaining?

Q5. A mixture of 60 litres contains milk and water in the ratio 7:3. How much water must be added to make the ratio 3:7?

Q6. A grocer buys two types of tea at ₹120/kg and ₹180/kg. He mixes them and sells the mixture at ₹165/kg making a profit of 10%. In what ratio did he mix them?

Q7. In what ratio must water be added to alcohol so that the resulting solution is 25% alcohol?

Q8. A container holds a mixture of two liquids A and B in ratio 3:1. If 16 litres of the mixture is replaced by liquid B, the ratio becomes 1:1. Find the total volume of the container.

Q9. The average salary of 20 workers and 1 manager is ₹45,000. If the manager’s salary is ₹95,000, find the average salary of the workers.

Q10. Two alloys contain copper and zinc in ratio 3:7 and 7:3 respectively. In what ratio should they be mixed so that the resulting alloy has 50% copper?

Q11. A milkman mixes 20 litres of water with 80 litres of milk. He then sells 1/4 of the mixture and adds water equal to what was sold. What is the ratio of milk to water now?

Q12. A vessel contains 40 litres of wine. 4 litres is taken out and replaced with water. This is done four times. What percentage of wine remains?

Q13. How many litres of pure acid must be added to 20 litres of a 20% acid solution to make it a 40% acid solution?

Q14. Rice of ₹36/kg is mixed with rice of ₹28/kg. The mixture is sold at ₹37/kg with a profit of 8.5%. Find the ratio of mixing.

Q15. A solution of 90 litres contains milk and water in ratio 8:1. How much milk must be added to make the ratio 9:1?

Q16. A trader has 50 kg of rice, part of which is sold at 10% profit and the rest at 5% loss. He gains 7% on the whole. Find the quantity sold at 10% profit.

Q17. The average age of 12 students in a class is 15 years. When 4 new students join, the average age becomes 14 years. Find the average age of the 4 new students.

Q18. A man covers first 30 km at 60 km/h and next 30 km at 40 km/h. Find his average speed for the entire journey.

Q19. Two containers A and B have mixtures of milk and water. A has 60% milk and B has 30% milk. In what ratio should A and B be mixed to get 50% milk?

Q20. A mixture contains wine and water in ratio 3:2. On adding 10 litres of water, the ratio becomes 3:7. Find the initial quantity of wine.