1.

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). \(\;4\frac{5}{{19}}\%\)

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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