Subject: General Aptitude · Chapter: Profit and Loss · Exam: 2007 · Marks: · Difficulty:
Left pan of a faulty balance weighs 100 grams more than its right pan. A shopkeeper keeps the weight measure in the left pan while buying goods but keeps it in the right pan while selling his goods. He uses only 1 kg weight measure. If he sells his goods at the listed cost price, what is his gain?
(a)$\frac{100}{11} \%$
(b)$\frac{200}{11} \%$
(c)$\frac{100}{9} \%$
(d)$\frac{200}{9} \%$
Answer
Answer (as printed): D
Explanation
Let the C.P. of 1 kg goods be ₹ 1. Then, he buys 1100 g goods for ₹ 1 and sells 900 g goods for ₹ 1. $$\begin{aligned} & \therefore \text { C.P. of } 1100 \mathrm{g} \text { goods }=₹ 1 \\ & \Rightarrow \text { C.P. of } 900 \mathrm{g} \text { goods }=₹\left(\frac{1}{1100} \times 900\right)=₹ \frac{9}{11} . \end{aligned}$$ S.P. of 900 g goods $=₹ 1$. $$\begin{aligned} & \text { Gain }=₹\left(1-\frac{9}{11}\right)=₹ \frac{2}{11} . \\ & \therefore \text { Gain } \%=\left(\frac{2}{11} \times \frac{11}{9} \times 100\right) \%=\frac{200}{9} \% . \end{aligned}$$