Practicing Success
A dishonest dealer is selling sugar at ₹40 per kg and pretending that he is selling it at a loss of ₹5 per kg but he actually gives 800 g instead of 1 kg, using a faulty weight. What is his actual profit or loss percent? |
Gain, 11% Gain, 11$\frac{1}{9}$% Loss, 10$\frac{1}{9}$% Loss, 9$\frac{1}{9}$% |
Gain, 11$\frac{1}{9}$% |
SP = Rs. 40 /kg, used faulty weight and gave 800g in place of 1 kg It is given in the question that he is pretending to sell a kg of sugar at a loss of Rs. 5 per kg CP - SP = 5 CP = 45 per Kg (Since, SP = 40 per kg) He is using faulty weight and gives 800g instead of 1 kg, Suppose he sells a 1 kg sugar to a customer, The CP of the 1 kg of sugar = Rs. 45 But he actually gave 800g to a customer so the cost paid by the dealer to purchase that sugar will be, The CP of the 800 kg of sugar = \(\frac{45}{1000}\) × 800 = 36 Profit % = \(\frac{40 - 36}{36}\) × 100 = Gain, 11$\frac{1}{9}$% |