SSC CGL Exam > SSC CGL Videos > Crash Course for SSC CGL (English) > Problems on Percentages - 5
Problems on Percentages - 5 Video Lecture | Crash Course for SSC CGL (English)
FAQs on Problems on Percentages - 5 Video Lecture - Crash Course for SSC CGL (English)
| 1. What are the basic concepts of percentages that one should know for competitive exams? |  |
Ans. Percentages represent a fraction of 100. The basic concepts include understanding how to calculate the percentage of a number, converting fractions to percentages, and vice versa. Additionally, knowing how to increase or decrease a number by a certain percentage is essential. For example, if you want to find 25% of 200, you would calculate (25/100) * 200 = 50.
| 2. How do you solve percentage increase and decrease problems? | |
Ans. To solve percentage increase problems, you can use the formula: New Value = Original Value × (1 + Percentage Increase). For example, if an item's price increases from $80 by 20%, the new price would be $80 × (1 + 0.20) = $80 × 1.20 = $96. For percentage decrease, the formula is: New Value = Original Value × (1 - Percentage Decrease). If the same item then decreases by 10%, the new price would be $96 × (1 - 0.10) = $96 × 0.90 = $86.40.
| 3. What types of problems involving percentages are commonly asked in SSC CGL exams? | |
Ans. Common problems include calculating profit and loss percentages, discount applications, population growth rates, and finding the percentage of marks obtained in exams. For instance, if a student scores 450 out of 600, the percentage of marks is (450/600) × 100 = 75%.
| 4. How can one quickly calculate percentages without a calculator? | |
Ans. Quick calculations can be done using certain techniques, such as breaking down percentages into simpler parts. For example, to find 15% of a number, you can first find 10% (by dividing the number by 10) and then calculating 5% (which is half of 10%). Finally, add those two results. This method allows for faster mental calculations.
| 5. Are there any shortcuts for converting between percentages, fractions, and decimals? | |
Ans. Yes, there are shortcuts. To convert a percentage to a decimal, divide by 100 (e.g., 75% = 75/100 = 0.75). To convert a decimal to a percentage, multiply by 100 (e.g., 0.85 = 0.85 × 100 = 85%). To convert a fraction to a percentage, divide the numerator by the denominator and then multiply by 100 (e.g., ½ = 1 ÷ 2 = 0.5 → 0.5 × 100 = 50%). These conversions are essential for solving various problems efficiently.
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