a trader marks his goods at 40% above the cost price and allows a discount of 25% .what is his gain percent?
plz answer my question teachers
after markup ---- > 140%
after discount --- .75(140)% = 105%
so the trader makes a profit of 5%
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To determine the trader's gain percentage, we need to consider the original cost price, the marked price (after a 40% increase), and the discounted price (after a 25% reduction).
Let's assume the cost price of the goods is $100.
Step 1: Calculate the marked price.
To find the marked price, we need to add a 40% markup to the cost price:
Markup = 40% of $100 = (40/100) * $100 = $40
Marked Price = Cost Price + Markup = $100 + $40 = $140
Step 2: Calculate the discounted price.
To find the discounted price, we need to deduct a 25% discount from the marked price:
Discount = 25% of $140 = (25/100) * $140 = $35
Discounted Price = Marked Price - Discount = $140 - $35 = $105
Step 3: Calculate the gain percentage.
The gain is calculated as the difference between the selling price (discounted price) and the cost price.
Gain = Discounted Price - Cost Price = $105 - $100 = $5
Gain Percentage = (Gain / Cost Price) * 100%
Gain Percentage = ($5 / $100) * 100% = 5%
Therefore, the trader's gain percentage is 5%.