How To Solve AllegationsSuppose the average weight of a group of objects O1 is A1 and average weight of group of objects O2 is A2 and A1 < A2, then we can write the data in the manner as shown in the figure. (Aw−A2) : (Aw−A1) gives the ratio of O1 : O2.
Allegations does not give the actual volume to be mixed but only the ratio in which volumes are to be mixed.
Question 1 A shopkeeper sells two types of rice A and B. If he sold 30% of type A rice at a profit of 50% and sold 90% of the rice of type B at a profit of 10%. What is the averge profit percent of the shopkeeper, if he sells only these two types of rice.
Question 2 How much water should be mixed with 6L pure milk to make the concentration of milk 60%.
Question 3 A dealer buys 11 kg of wheat at Rs 275 and mixes it with another quantity of wheat in the ratio of 4:5. The price of the resulting mixture is Rs 30 per kg. Finf the price of this other quantity of wheat.
|Rs 37 per kg||Rs 31 per kg|
|Rs 24 per kg||Rs 34 per kg|
Question 4 If the average weight of a class of 60 students is 50 and the average weight of a class of 40 students is 45 , then what will be the average weight of both the classes combined.
Question 5 A person travels at a speed of 25 km/hr for 30min and then travels at 40km/hr for next 20 min to reach his destination. Find his average speed in the whole journey.
|21 km/hr||31 km/hr|
|33 km/hr||None of these|
Question 6 In what ratio should a 65% milk solution and 85% milk solution should be mixed so that the new solution is a 80% milk solution.