CTET 2 Math and Science 21 Jan 2024 Paper

Question : 34 of 150

Marks: +1, -0

A shopkeeper sells an article for Rs. 324 after giving a discount of 28% on its marked price. The cost price of the article is Rs. 300. If he sells the article by giving 18% discount on its same marked price then what will be his profit percent ?

Validate

Solution:

Cost price of the article = Rs. 300
The selling price after a discount of

28 \%

on the marked price

=

Rs. 324
Let the marked price be x .
Selling price after

28 \%

discount

=0.72 x

(since the discount is

28 \%

, the remaining fraction is 0.72 )

\;324=0.72 x

\;x=324 \/ 0.72

\;x=\;\text " Rs. "\; 450

Selling price after

18 \%

discount

=0.82 ×

Rs. 450 (since the discount is

18 \%

, the remaining fraction is 0.82 ) Selling price after

18 \%

discount

=

Rs. 369

\;\;\text " Profit = Selling price "\;- \;\text " Cost price "\;

\;\;\text " Profit "\;=\;\text " Rs. "\; 369-\;\text " Rs. "\; 300

\;\;\text " Profit "\;=\;\text " Rs. "\; 69

\;\;\text " Profit percentage "\;=(\;\text " Profit "\; \/ \;\text " Cost price "\;) × 100

\;\;\text " Profit percentage "\;=(69 \/ 300) × 100

\;\;\text " Profit percentage "\;=23 \%

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