SSC CHSL 5 Aug 2021 Shift 3 Paper

Section: Quantitative Aptitude

Question : 74 of 100

Marks: +1, -0

A person sold an article at a loss of

12 \%

. Had he sold it at a gain of

10.5 \%

, he would have got ₹

112.50

more. What is the original selling price (in ₹) of the article?

Solution:

Let the cost price of the article be

₹ x

.
According to the question,

\;{x × 88}/{100}+112.50=\;{x × 110.5}/{100}

⇒ \;\; 0.88 x+112.50=1.105 x

⇒ \;\; 0.225 x=112.50

⇒ \;\; x=\;{112.50}/{0.225}

\;\;\; =₹ 500

∴ \;\text " Original selling price "\;

\;\;\; =0.88 x=0.88 × 500

\;\;\; =₹ 440

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