3.6 Finding Part


Each percentage problem will have three components of a percent problem. Usually, two of these components are given, and the third component must be found. The three key components in a percent problem are as follows.

Base: The whole or total, the starting point.
Rate: A number followed by percent (%) that represents the relationship between the percentage and the base. Rate must be changed to a decimal or fraction before being used in the formula.
Part: Result of multiplying the base and the rate.

Formula: Part = Base x Rate

Example 6
A shop gives a 12% discount on all shoes. Find the discount of as shoe that cost RM 150.

Solution:
Base: 12% discount (0.12 in decimal)
Rate: RM 150
Part: 0.12 x RM 150 = RM 18.00 discount


3.6 Finding Part


Example 7
Find the sales tax on an automobile priced at RM 12,345.00 if the rate of sales tax is 6% of the sales price.

Solution:
Rate: 6% (0.06 in decimal)
Base: RM 12,345.00
Sales tax (Part) : RM 12, 345.00 x 0.06 = RM 740.70


3.6 Finding Part


Example 8
A worker’s gross pay for the week is RM 500. If 23% is apportioned for EPF deduction, how much will the worker take home?

Solution:
Rate for EPF deduction : 23%, Rate to take home = 77%
Base: RM 500
Amount of money taken home (Part): RM 500 x (1 – 0.23) = RM 385