The selling price of 21 articles is equal to the cost price of 18 articles. Find the loss percent.

A \(14\frac{1}{7}\%\)

B \(12\frac{1}{2}\%\)

C \(16\frac{2}{3}\%\)

D 30%

E \(14\frac{2}{7}\%\)

Solution

Correct Answer: Option E

Let cost price (C.P) of 1 article = Re. x

C.P of 21 articles = 21 × x = Rs. 21x

S.P of 21 articles = C.P of 18 articles= 18 × x = 18x

\(\begin{array}{l} \therefore loss\;\% = \frac{{C.P - S.P}}{{C.P}} \times 100\\ \Rightarrow Loss\;\% = \;\frac{{21x - 18x}}{{21x}} \times 100\\ \Rightarrow Loss\;\% \; = \frac{3}{{21}} \times 100\\ Loss\;\% = 14\frac{2}{7} \end{array}\)

Solution

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