Question

A dealer declares to sell his goods at cost price, but he uses a false weight and gains $6\frac{18}{47}\%$ for a kilogram, he uses a weight of :

• A. 953g
• B. 960g
• C. 940g
• D. 947g

Answer 1

The correct option is C 940g

Percentage gain of dishonest dealer=$\frac{Error}{Truevalue-Error}\times 100$
Let the error be x gm,
$\Rightarrow \frac{x}{1000-x}\times 100=\frac{300}{47}$
$\Rightarrow 4700x=300000-300x$
$\Rightarrow 4700x+300x=300000$
$\Rightarrow 5000x=300000$
$\Rightarrow x=60$
$\therefore Actualweightused=(1000-60=940gm)$