Question:
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?

Option A):
125%
Option B):
100%
Option C):
120%
Option D):
98.66%

Correct Answer is Option A):
125%

Explanation:
Let actual cost price of an article be Re 1 (in place of X). Now he purchases goods worth Rs. 120 and pays Rs. 80, since 20% discount is allowed. So, the CP = 80/100 = 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 = 135/90 = 3/2
Profit (%) = [{(3/2) - (2/3)} /2/3] *100 = 125%.