Question

A dishonest dealer professes to sell his goods at cost price. But he uses a false weight and thus gains $6\frac{18}{47}$%. For a kg, he uses a weight of

• A. $940$ gms
• B. $947$ gms
• C. $953$ gms
• D. $960$ gms

Answer 1

The correct option is A $940$ gms

Given that: %Gain $=6\frac{18}{47}=\frac{300}{47}$

% Gain$=\left(\frac{\text{Correct weight-Incorrect weight}}{\text{Correct weight}}\right)\times 100$

$\therefore$ For 1 kg,

$\Rightarrow \frac{300}{47}=$$\left(\frac{1-IW}{1}\right)\times 100$

$\Rightarrow IW=1-\frac{3}{47}=\frac{44}{47}kg=940gm$