A shopkeeper sells an article at a loss of $$12\frac{1}{2}$$% . Had he sold it for Rs. 51.80 more, he would have earned a profit of 6% . The cost price of the article is = ?
a) Rs. 280
b) Rs. 300
c) Rs. 380
d) Rs. 400
Answer: a
Explanation: Let C.P. be Rs. x Then
(106% of x) – $$\left( {87\frac{1}{2}\% \,\,{\text{of}}\,x} \right) = 51.80$$
$$\eqalign{
& 18\frac{1}{2}\% \,\,{\text{of}}x = 51.80 \cr
& x = \left( {\frac{{51.80 \times 100 \times 2}}{{37}}} \right) \cr
& x = 280 \cr} $$
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