A trader goes to a wholesaler to buy 500 kg of merchandise. The wholesaler has a weighing balance that reads 1200 gm for a kg. Later, the trader sells 5 kg to a customer after marking up his cost price by 25% (without realizing that he was cheated by the wholesaler). What is the net gain or loss percent for the trader (approximately)?
A trader goes to a wholesaler to buy 500 kg of merchandise. The wholesaler has a weighing balance that reads 1200 gm for a kg. Later, the trader sells 5 kg to a customer after marking up his cost price by 25% (without realizing that he was cheated by the wholesaler). What is the net gain or loss percent for the trader (approximately)? Correct Answer 4.17 % gain
Given:
A trader goes to a wholesaler to buy 500 kg of merchandise
The wholesaler's weighing balance reads 1200 gm instead of 1 kg
Trader marking up his cost price by 25% (without realizing that he was cheated by the wholesaler)
Concept used:
Profit = S.P – C.P
Profit% = (Profit/C.P) × 100
Where,
S.P → Selling price
C.P → Cost price
Calculations:
The actual quantity which is bought by trader = (500/1200) × 1000 = 416.66
Let the selling price of merchandise for wholesaler be 100
The total price which is paid by the trader to the wholesaler for 416.66 kg = 500 × 100 = 50,000
Per kg cost price of merchandise for the trader = 50000/416.66 ≈ 120
Cost price of 5 kg = 120 × 5 = 600
Trader marking up his cost price by 25%
So, The mark price of merchandise = 100 × (125/100) = 125
The selling price of merchandise for trader = 125
Selling price of 5 kg = 125 × 5 = 625
Profit = 625 – 600 = 25
Profit% = (25/600) × 100 = 4.17%
∴ The net gain for trader is 4.17%