Question

a man sellar two articles at 39676 each. he gains 9% on one article and loss 9% on the other. find his overall gain and loss

Answer 1

$sp \: of \: each \: article = 39676 \\ profit \: on \: first \: article = 9\% \\ cp = ( \frac{100}{100 + p} ) \times sp \\ cp = ( \frac{100}{100 + 9} ) \times 39676 \\ cp = \frac{100}{109} \times 39676 \\ as \: 109 \times 364 = 39676 \\ so \: cp = 100 \times 364 \\ cp \: of \: first \: article = 36400 \\ loss \: on \: second \: article = 9\% \\ cp = ( \frac{100}{100 - l} ) \times sp \\ cp = (\frac{100}{100 - 9} ) \times 39676 \\ cp = \frac{100}{91} \times 39676 \\ as \: 91 \times 436 = 39676 \\ so \: cp = 100 \times 436 \\ cp \: of \: second \: article = 43600 \\ cp \: of \: whole \: transaction = 43600 + 36400 \\ =8000 0 \\ sp \: of \: whole \: transaction = 39676 + 39676 \\ = 79352 \\ as \: cp \: is \: more \: there \: will \: be \: loss \\ loss = cp - sp \\ = 80000 - 79352 \\ = 648 \\ loss\% = \frac{loss}{cp} \times 100 \\ = \frac{648}{80000} \times 100 \\ = \frac{81}{100} \% = 0.81\%$

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