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Step-4

Title: Percentage

Grade: 8-a Lesson: S1-L4

Explanation: Let us verify the answer here with the steps.

Description:

Step	Type	Explanation	Answer
1	Problem	In a plot of 8000 sq. m., only 4000 sq. m. is allowed for construction. What percent of the plot is to be left without construction?
2	Clue	left	Subtraction(-)
3	Hint	Operator used : Subtraction	-
4	Formula:	Percent of the plot left =	\$("Area left without construction"/ "Area of plot") \times 100\$
5		Area of plot =	8000 sq.m
6		Allowed for construction =	4000 sq.m
7		Area left without construction =	(8000 - 4000)sq.m = 4000 sq.m
8		Percent of the plot left without construction	\$(\cancel(4000)^1/ \cancel(8000)^2) \times 100\$
9		⇒	\$(1/\cancel2^1) \times \cancel(100)^50 = 50\$
10		Thus, the percentage of plot to be left without construction is	50 %

Step

Type

Explanation

Answer

Problem

In a plot of 8000 sq. m., only 4000 sq. m. is allowed for construction. What percent of the plot is to be left without construction?

Clue

left

Subtraction(-)

Hint

Operator used : Subtraction

Formula:

Percent of the plot left =

\$("Area left without construction"/ "Area of plot") \times 100\$

Area of plot =

8000 sq.m

Allowed for construction =

4000 sq.m

Area left without construction =

(8000 - 4000)sq.m = 4000 sq.m

Percent of the plot left without construction

\$(\cancel(4000)^1/ \cancel(8000)^2) \times 100\$

⇒

\$(1/\cancel2^1) \times \cancel(100)^50 = 50\$

Thus, the percentage of plot to be left without construction is

50 %