Class 8 Exam > Class 8 Notes > Mathematics (Maths) Class 8 > Important Formulae: Comparing Quantities
Important Formulae: Comparing Quantities | Mathematics (Maths) Class 8 PDF Download
Terms
1. Unitary Method
Unitary method is on the most useful method to solve ratio, proportion and percentage problems. In this we first find value of one unit and then find the value of required number of units.
So in Short Unitary method comprises two following steps:
- Step 1: Find the value of one unit.
- Step 2: Then find the value of required number of units.
2. Percentages
- Percentages are ways to compare quantities. They are numerators of fractions with denominator 100 or it basically means per 100 value
- Percent is derived from Latin word ‘per centum’ meaning ‘per hundred’
It is denoted by % symbol
1% means 1/100= .01 - We can use either unitary method or we need to convert the fraction to an equivalent fraction with denominator 100
3. Discounts
- Discount is a reduction given on the Marked Price (MP) of the article.
- This is generally given to attract customers to buy goods or to promote sales of the goods.
- You can find the discount by subtracting its sale price from its marked price.
So, Discount = Marked price – Sale price
Question for Important Formulae: Comparing QuantitiesTry yourself: What is the unitary method used for?View Solution
4. Interest: Interest is the extra money paid by institutions like banks or post offices on money deposited (kept) with them. Interest is also paid by people when they borrow money.
5. Simple Interest
- Principal (P): The original sum of money loaned/deposited. Also known as capital.
- Time (T): The duration for which the money is borrowed/deposited.
- Rate of Interest (R): The percent of interest that you pay for money borrowed, or earn for money deposited.
- Simple interest is calculated as
- Total amount at the end of time period
A= P + SI
6. Compound interest
- Principal (P): The original sum of money loaned/deposited.
- Time (n): The duration for which the money is borrowed/deposited.
- Rate of Interest (R): The percent of interest that you pay for money borrowed, or earn for money deposited
- Compound interest is the interest calculated on the previous year’s amount (A = P + I).
The document Important Formulae: Comparing Quantities | Mathematics (Maths) Class 8 is a part of the Class 8 Course Mathematics (Maths) Class 8.
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FAQs on Important Formulae: Comparing Quantities - Mathematics (Maths) Class 8
| 1. What are the key formulae used for comparing quantities in mathematics? |  |
Ans. The key formulae used for comparing quantities in mathematics include percentage formula, profit and loss formula, discount formula, ratio and proportion formula, and simple interest formula.
| 2. How is the percentage change calculated when comparing quantities? | |
Ans. The percentage change is calculated by dividing the difference between the two quantities by the original quantity and then multiplying by 100 to get the percentage change.
| 3. Can you explain the concept of profit and loss in comparing quantities? | |
Ans. Profit is the amount earned when the selling price of an item is higher than the cost price, while loss is incurred when the selling price is lower than the cost price. The profit percentage is calculated by dividing the profit amount by the cost price and multiplying by 100.
| 4. How is the discount amount calculated in comparing quantities? | |
Ans. The discount amount is calculated by multiplying the marked price of an item by the discount percentage and then subtracting this amount from the marked price to get the discounted price.
| 5. What is the significance of using ratio and proportion in comparing quantities? | |
Ans. Ratio and proportion are important in comparing quantities as they help in expressing the relationship between two quantities in a simplified manner. They are useful in solving various mathematical problems related to comparing quantities.
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