ABC26GN2704 · Profit and Loss

Subject: General Aptitude · Chapter: Profit and Loss · Exam: · Marks: · Difficulty:

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

Answer (as printed): A

Explanation

Let error $=x$ gms. Then, $$\begin{aligned} & \frac{x}{1000-x} \times 100=6 \frac{18}{47} \Leftrightarrow \frac{100 x}{1000-x}=\frac{300}{47} \\ & \Leftrightarrow 47 x=3(1000-x) \Leftrightarrow 50 x=3000 \Leftrightarrow x=60 . \\ & \therefore \text { Weight used }=(1000-60)=940 \text { gms. } \end{aligned}$$

Explanation as extracted from the printed page; notation may be imperfect.

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