# IMO Level 1- Mathematics Olympiad (SOF) Class 8: Questions 824 - 828 of 1040

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## Question number: 824

### Question

If the cost price is 96 % of the selling price, then what is the profit percentage?

### Choices

Choice (4) | Response | |
---|---|---|

a. | 4.17% | |

b. | 4.25% | |

c. | 5% | |

d. | 6.23% |

## Question number: 825

### Question

A roofer’s 29 feet ladder is against the side of a house. It is 7 yards from the ground to the top of the house. How far away from the house must he place the foot of the ladder in order to have the top of the ladder meet the roof of the house?

### Choices

Choice (4) | Response | |
---|---|---|

a. | 10 feet | |

b. | 25 feet | |

c. | 15 feet | |

d. | 20 feet |

## Question number: 826

### Question

The ages of two persons differ by 16 years. If 6 years ago the elder one be 3 times as old as the younger one, find their present ages.

### Choices

Choice (4) | Response | |
---|---|---|

a. | 14 years, 30 years | |

b. | 15 years, 30 years | |

c. | 12 years, 25 years | |

d. | Question does not provide sufficient data or is vague |

## Question number: 827

### Question

A ladder is leaning against a house. The distance between the bases of the ladder to the house is 3 feet. The length of the ladder is 10 feet. In feet, how far above the ground does the ladder touch the house?

### Choices

Choice (4) | Response | |
---|---|---|

a. | 10 feet | |

b. | 9 feet | |

c. | 9.5 feet | |

d. | Question does not provide sufficient data or is vague |

## Question number: 828

### Question

If a building casts a 20 feet shadow and a flagpole casts a 7 feet shadow and the flagpole is 12 feet tall, how high is the building?

### Choices

Choice (4) | Response | |
---|---|---|

a. | 31 feet | |

b. | 33 feet | |

c. | 34.2 feet | |

d. | 35 feet |