A dishonest dealer purchases goods at 20% discount of the cost price of Rs. X and also cheats his wholesaler by getting 20% extra through false weighing, per kg. Then he marks up his goods by 80% of x, but he gives a discount of 25% besides he cheats his customer by weighing 10% less than the required. What is his overall profit percentage? A. 125% B. 100% C. 98.66% D. 120% Answer: Option A

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Solution(By Apex Team)

Let actual cost price of an article be Rs. 1 (in place of X). Now he purchases goods worth Rs. 120 and pays Rs. 80, since 20% discount is allowed. So, the CP $=\frac{80}{120}=\frac{2}{3}$ Again, MP, SP = 135 (since 25% discount) Thus, the trader sells goods worth Rs. 90 instead of 100g and charges Rs. 135. Therefore the effective SP $=\frac{135}{90}=\frac{3}{2}$ $\begin{array}{l}\text{ Profit }\%\\ =\frac{\frac{3}{2}-\frac{2}{3}}{\frac{2}{3}}\times100\\ =125\%\end{array}$

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