An article is sold at a certain price. If it is sold at 33 \frac{1}{3} \% of this price, there is loss of 33 \frac{1}{3} \%. What is the percentage profit or percentage loss when it is sold at 40 \% of the original selling price?

SSC CHSL 10 Aug 2021 Shift 1 Paper

Section: Quantitative Aptitude

Question : 69 of 100

Marks: +1, -0

An article is sold at a certain price.
If it is sold at

33 \;{1}/{3} \%

of this price, there is loss of

33 \;{1}/{3} \%

. What is the percentage profit or percentage loss when it is sold at

40 \%

of the original selling price?

Solution:

Let the cost price of the article be ₹ 300 .
Given, selling price

=\;{100}/{3 × 100} × 300

=₹ 100

According to the question,

33 \;{1}/{3} \%=300-100

⇒ \;\; \;{100}/{3} \%=200

∴ \;\; 40 \%=\;{200 × 40 × 3}/{100}=₹ 240

\;\text " Since, "\; {CP}(₹ 300) > {SP}(₹ 240),

\;\text " There is a loss. "\;

\;\text " and loss "\; \%=\;{ {CP}- {SP}}/{ {CP}} × 100

\;\; =\;{(300-240)}/{300} × 100=\;{60 × 100}/{300}

\;\; =20 \%

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