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Chapter 2

Ratio and Proportion

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  • ICSE
  • Class 8
  • Maths
  • Ratio and Proportion
The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

Introduction

You might have come across ratio and proportion in your maths class. The concept is based on fractions. When it is expressed in a:b, then it is called ratio. Proportion states that both the ratios are the same. In other words, the proportion represents the balance of the two parts or the ratios. In easy language, the ratio is the representation that can be utilised to express one amount as a fraction portion of different ones.

In order to ascertain the cost of a commodity on the lookout and figure out a benefit to an organisation, each item has a cost price and a selling price. We can discover the profit acquired or the loss incurred for a particular product in light of such cost estimations.

Overhead alludes to a business’s progressing costs, not straightforwardly attributed to making an item or administration. Overhead expenses are expenses to maintain the business, including rent, protection, and utilities. Working costs are needed to maintain the business and can’t be stayed away from. Overhead costs ought to be assessed routinely to increase profit.

You can change the discounted rate over to a decimal and multiply that by the first cost. To ascertain a tax, you can change the rate over to a decimal, duplicating it by the cost. You can multiply the first cost by one or more decimal on the off chance that you need to know the all-out cost, including the tax.

The following are the important differences between simple and compound interest:

Simple InterestCompound Interest
It is based on the principal amount of the loan.It depends on the principal sum and the interest that collects on it in each period.
The formula for simple interest is:

P × r × n

P = Principal amount

The formula for compound interest is:

P × (1+r) t −P

P = Principal amount

The growth remains uniform.The growth keeps increasing.
The return remains less.The return remains high throughout.

When the relation between two values of an object is such that an increase or decrease in one’s value affects the other, this is known as variation. It is of two types:

  • Direct Variation
  • Inverse Variation

Direct variation implies when one amount changes, the other amount likewise changes to a direct extent. When there is an increase in quantity A, quantity B also increases and vice versa. However, the ratio remains the same. You have to follow the tabular or unitary method to solve direct variation problems.

But in inverse variation, the reverse happens. When there is an increase in quantity A, quantity B decreases and vice versa.

Time and work issues manage the synchronous presentation, including the effectiveness of an individual or a gathering and the time taken by them to finish a piece of work.

A specific measure of time (T) is taken to finish a specific work (W). The quantity of units of work done per unit time is known as the pace of work (R). Consequently, Work (W) = Rate (R) Time (T).

The formula for time work is –

Total work = No of days * Efficiency

Ratio and proportion are the two significant concepts, and it is the establishment to comprehend the different arithmetic ideas just as in science. It is even used in our everyday life; we utilise the concept of proportion and extent, for example, in business while managing cash or while cooking, and so forth.

  1. How to solve ratios?
    To ascertain the sum’s proportion, we divide the sum by the complete number of parts in the ratio and afterwards increase this answer by the first ratio.
  2. What is the compounded ratio?
    When at least two ratios increase termwise, the ratio thus acquired is called compounded ratio.
  3. Give some examples of ratio and proportion in daily life?
    Basic examples of ratio and proportion are contrasting costs per ounce while shopping for food, figuring the legitimate sums for fixings in plans, and deciding what amount of time vehicle outing may require. Other fundamental proportions incorporate pi and phi.
  4. What are the properties of proportion?
    The following are the properties of proportion:

    • Each quantity in a proportion is called its term or proportional.
    • In four terms, the first and last terms are the extremes, and the second and third terms are the mean.
  5. What are basic ratios?
    A basic ratio is an examination of two numbers through division. The proportion of a to b is a:b, with b ≠ 0.

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