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A dishonest shopkeeper professes to sell his goods at the cost price but use faulty measure. His 1 kg weight measures 950 gms only. Find his gain percent.1). \(7\frac{3}{{19}}\% \)2). \(5\frac{7}{{19}}\%\)3). \(5\frac{5}{{19}}\%\)4). \(\;4\frac{5}{{19}}\%\) |
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Answer» ⇒ Here, true measure = 1000 gms ⇒ False measure = 950 gms Since the shopkeeper SELLS the goods at cost price ⇒ x = 0 ⇒ overall gain % is GIVEN by, ⇒ True measure/ Faulty measure = (100 + G)/ (100 + x) ⇒ 1000/ 950 = (1000 × g)/ 950 ⇒ 100 + g = (1000 × 100)/ 950 $( \Rightarrow {\rm{g}} = 5\frac{5}{{19}}\%)$ |
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