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# Ratio and Proportion Questions and Answers

**Ratio and Proportion Questions **

### Definition of Ratio

This page is all about Ratio and Proportion and some of it’s questions to understand the concept clearly. So let us go through the definition and examples for the same. A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

**For Example: –** In a class of 100 students, 43 are girls and the remaining are boys. Find the ratio of the total number of boys to the number of girls.

Solution:

Total number of students = 100; Total number of girls = 43

Total number of boys = Total number of students – Total number of girls

= 100 – 43

= 57

Therefore, the desired ratio is, (Number of boys: Number of girls), which is 57:43

### Definition of Proportion

A proportion is an equation in which two ratios are set equal to each other.

**For Example : –** The time taken by train to cover 100km per hour is equal to the time taken by it to cover the distance of 200km for 5 hours. Such as 100km/hr = 200km/5hrs.

**For example : –** Let us take another example to make the concept more easier. The number of students in 2 classrooms where the ratio of the number of girls to boys is equal. Our first ratio of the number of girls to boys is 5:7 and that of the other is 3:8, then the proportion can be written as: 5:7::3:8 or 5/7 = 3/8. Here, 5 and 8 are the extremes, while 7 and 3 are the means.

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- Compound Interest – Questions | Formulas | How to Solve Quickly | Tricks & Shortcuts
- Percentages – Questions | Formulas | How to Solve Quickly | Tricks & Shortcuts
- Profit & Loss – Questions | Formulas | How to Solve Quickly | Tricks & Shortcuts

**Others**

- Allegations and Mixtures – Questions |

Formulas |

How to Solve Quickly |

Tricks & Shortcuts - Averages – Questions |

Formulas |

How to Solve Quickly |

Tricks & Shortcuts - Simple & Compound Interest – Questions |

Formulas |

How to Solve Quickly |

Tricks & Shortcuts - Simple Interest – Questions |

Formulas |

How to Solve Quickly |

Tricks & Shortcuts - Compound Interest – Questions |

Formulas |

How to Solve Quickly |

Tricks & Shortcuts - Percentages – Questions |

Formulas |

How to Solve Quickly |

Tricks & Shortcuts - Profit & Loss – Questions |

Formulas |

How to Solve Quickly |

Tricks & Shortcuts

**Others**