If the cost price of an item is 25% of its selling price , what is the % of profit ?
Percentage is a ratio, expressed as parts per hundred.
You can consider it a fraction, or a decimal.
If the selling price is x,
and the cost is 25% of x, it means the cost is 25/100=0.25=1/4 of x, or 0.25x.
So, in absolute terms, the profit is
selling price-cost=x-0.25x=0.75x .
As a ratio/fraction/percentage of the cost, that is
0.75x/0.25x=3=300/100=300% .
For an item selling at price=100, the merchant paid cost=25,
and made a profit of 75,
which is 3 times the cost,
or 300% of the cost,
To determine the percentage of profit, we need more information. Specifically, we need to know either the cost price or the selling price of the item.
If we know the selling price, we can calculate the cost price by dividing the selling price by 1.25 (since the cost price is 25% of the selling price). After finding the cost price, we can find the profit by subtracting the cost price from the selling price. Finally, we can calculate the percentage of profit by dividing the profit by the cost price and multiplying by 100.
If we know the cost price, we can calculate the selling price by multiplying the cost price by 1.25. Then, we can find the profit by subtracting the cost price from the selling price. Again, we can calculate the percentage of profit by dividing the profit by the cost price and multiplying by 100.
Therefore, without knowing the specific value of either the cost price or the selling price, we cannot determine the percentage of profit.