# Allegations and Mixtures

Concepts
Examples

**How To Solve Allegations**

_{1}is A

_{1}and average weight of group of objects O

_{2}is A

_{2}and A

_{1}< A

_{2}, then we can write the data in the manner as shown in the figure. (A

_{w}−A

_{2}) : (A

_{w}−A

_{1}) gives the ratio of O

_{1}: O

_{2}.

**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.

35% | 45% |

40% | 55% |

**Question 2**How much water should be mixed with 6L pure milk to make the concentration of milk 60%.

4L | 2L |

3L | 5L |

**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.

24 | 26 |

45 | 48 |

**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.

1:2 | 1:3 |

1:4 | 2:3 |