A shopkeeper sold an article at four-fifth of the marked price and suffered a loss of 3 \frac{1}{3} \%. Find the profit percent, if he sold the article at the marked price. (correct to nearest integer)

SSC CGL 24 Aug 2021 Shift 2 Paper

Question : 66 of 100

Marks: +1, -0

A shopkeeper sold an article at four-fifth of the marked price and suffered a loss of

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

. Find the profit percent, if he sold the article at the marked price. (correct to nearest integer)

Solution:

Let cost price

=₹ 100

Loss of

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

\;{10}/{3} \%

means
Selling price

=100-100 × \;{10}/{3 × 100}

Selling Price

=100-3.33=96.67

According to the question,

\;{4}/{5}

of Marked Price

=96.67

Marked price

=96.67 × \;{5}/{4}

=120.8 ≈ 121

If he sold at marked price
Profit Per centage

=\;{M P-C P}/{C P} × 100

\;\; =\;{121-100}/{100} × 100

\;\; =\;{21}/{100} × 100=21 \%

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