Comparing Quantities

8.1 Introduction

As sound says comparing some similar types of fraction with quantities.

There are many occasions when we compare two quantities. The ratio for two different comparisons may be the same. Remember that to compare two quantities, the units must be the same.

8.2 Equivalent Ratios

When different ratios can also be compared with each other to know whether they are equivalent or not. If these like fractions are equal, we say the given ratios are equivalent.

Unitary Method in which we first find the value of one unit and then the value of the required number of units.

8.3 Percentage − Another Way of Comparing Quantities

There is another way to find the comparisons between the fractions that's called Percentage. Percentages are numerators of fractions with denominator 100 and have been used in comparing results.

Percent is derived from Latin word ‘per centum’ meaning ‘per hundred’.

Percent is represented by the symbol % and means hundredths too.

That is 1% means 1 out of hundred or one hundredth. It can be written as: 1% = 1/100= 0.01

8.4 Use Of Percentages

We leant something much about the percentage, here we learn something more about the Percentage, How they use in different ways in our life.

We can use it in find the profit-loss profits, Loss-gain of the marks etc.

Percentage increase = amount of change x 100/original amount or base

8.5 Prices Related to an Item or Buying and Selling

The buying price of any item is known as its cost price. It is written in short as CP.

The price at which you sell is known as the selling price or in short SP.

The profit or loss can be converted to a percentage. It is always calculated on the CP.

8.6 Charge Given on Borrowed Money Or Simple Interest

When we take a loan from a bank. The money you borrow is known as sum borrowed or principal.

While keeping some money for some time the borrower has to pay some extra money to the bank. This is known as Interest.

Amount = Principal + Interest.

When calculating interest where principal is not changed is known as simple interest.

T X R X P/100 = P X R X T/100 or PRT/100