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# Percentages Questions with Answers

**Percentages Questions with Answers**

Here on this page Percentages Questions with Answers are provided. Students can practice these questions based on percentages to prepare for the upcoming exams. You will also get some basic conversion formulas.

**Finding the Percentage of a Number:**

- Explain how to calculate a percentage of a given number using the formula: Percentage = \left ( \frac{Percentage.value}{Total.Value} \right )\times100
- Provide examples and step-by-step explanations of solving percentage problems.

**Percentage Increase and Decrease:**

- Discuss how to determine the percentage increase or decrease between two values using the formula: Percentage Change= \left ( \frac{Final.value – Initial.value}{Total.Value} \right )\times100
- Provide practical examples, such as price changes, population growth rates, or test score improvements.

**Applications of Percentages in Real Life:**

- Explore various scenarios where percentages are commonly used, such as discounts and sales, interest rates, inflation, and stock market changes.
- Explain the importance of understanding percentages in personal finance and decision making.

**Calculating Percentages in Statistics:**

- Discuss the role of percentages in statistics, such as calculating proportions, relative frequencies, and percentages in surveys or data analysis.
- Highlight the significance of percentages in representing data and making meaningful comparisons.

**Solving Percentage Problems:**

- Provide a series of practice problems covering different percentage scenarios, including finding percentages, solving for original values, and determining percentage changes.
- Offer step-by-step solutions and explanations to help users understand the problem-solving process.

**Fraction to Percentage Conversion**

\frac{1}{3} × 100 = 33.33% | \frac{1}{10} × 100 = 10% |

\frac{1}{4} × 100 = 25% | \frac{1}{11} × 100 = 9.09% |

\frac{1}{5} × 100 = 20% | \frac{1}{12} × 100 = 8.33% |

\frac{1}{6} × 100 = 16.66% | \frac{1}{13} × 100 = 7.69% |

\frac{1}{7} × 100 = 14.28% | \frac{1}{14} × 100 = 7.14% |

\frac{1}{8} × 100 = 12.5% | \frac{1}{15} × 100 = 6.66% |

\frac{1}{9} × 100 = 11.11% | \frac{1}{16} × 100 = 6.25% |

### Few Examples on Percentages :

**Question 1. Luaa spends her monthly salary in the following manner: 20% on house rent, 20% on food, 5 % on transportation, 10% on the education, and 20% on other household expenses. She saves the remaining amount of ₨. 5000 at the end of the month. Find out her monthly salary?**

**Options:**

**A. Rs. 35000**

**B. Rs. 25000**

**C. Rs. 20000**

**D. Rs. 30000**

**Solution: **Let the

Monthly Salary = 100%

Monthly Expenditure =

20% + 20% + 5% + 10% + 20% = 75%

Monthly Savings = 100% – 75% = 25%

Now, 25% of salary saved = 5000

Let’s take 100% salary as x

25% of x = 5000

x = 5000 × \frac{100}{25}

x = \frac{500000}{25}

x = 20000

Therefore, her monthly salary = Rs. 20000

**Correct option: C**

**Question 2.Aman spends 60% of his income. Suppose his income is increased by 21% and his expenditure increases by 5%, then what is the increase in his savings (in percentage)? **

**Options: **

**A. 60%**

**B. 18%**

**C. 40%**

**D. 45%**

**Solution: **Let Aman’s income = 100

Expenditure = 60 and

Savings = 40 (We get 40 by subtracting, 100 – 60)

New Income is increased by 21% = 100 + 21 = 121

Expenditure Increased by 5% = 5% more than 60 = 105% of 60 = 63

New Savings = 121 – 63 = 58

Therefore, increase in savings = 58 – 40 = 18

Increase in % = \frac{18}{40} × 100 = 45%

**Correct option: D**

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- Allegations and Mixtures – Questions | Formulas | How to Solve Quickly | Tricks & Shortcuts
- Ratio and Proportions – Questions | Formulas | How to Solve Quickly | Tricks & Shortcuts
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- Profit & Loss – Questions | Formulas | How to Solve Quickly | Tricks & Shortcuts

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- Allegations and Mixtures – Questions |

Formulas |

How to Solve Quickly |

Tricks & Shortcuts - Ratio and Proportions – Questions |

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Tricks & Shortcuts - Simple & Compound Interest – Questions |

Formulas |

How to Solve Quickly |

Tricks & Shortcuts - Simple Interest – Questions |

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Tricks & Shortcuts - Averages – Questions |

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Tricks & Shortcuts - Compound Interest – Questions |

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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**