A profit of 20% is made on goods when a discount of 10% is given on the marked price. Profit per
cent which will be made when a discount of 20% is given on the marked price is ____.
To find the profit percentage when a discount of 20% is given on the marked price, we need to calculate the profit percentage first.
Let's assume the cost price of the goods is 100 units.
When a discount of 10% is given on the marked price, the selling price becomes 90 units (100 - 10% of 100).
We are given that a profit of 20% is made on goods with a 10% discount. To determine the selling price, we can use the formula:
Selling Price = Cost Price + (Profit Percentage * Cost Price)
90 = 100 + (20% * 100)
To calculate the profit percentage, we rearrange the formula:
Profit Percentage = (Selling Price - Cost Price) / Cost Price * 100
Profit Percentage = (90 - 100) / 100 * 100
Profit Percentage = -10%
Therefore, a profit of -10% is made when a discount of 10% is given on the marked price.
Now, let's calculate the profit percentage when a discount of 20% is given on the marked price.
Using the same formula as before:
Selling Price = Cost Price + (Profit Percentage * Cost Price)
Let's assume the selling price is X units.
X = 100 + (Profit Percentage * 100)
Since a discount of 20% is given, the selling price will be (100 - 20% of 100) = 80 units.
Therefore, we can substitute X = 80 in the equation:
80 = 100 + (Profit Percentage * 100)
Now we can solve for the profit percentage:
80 - 100 = Profit Percentage * 100
-20 = Profit Percentage * 100
Profit Percentage = -20% / 100
Therefore, a profit of -20% is made when a discount of 20% is given on the marked price.
In conclusion, the profit percentage that will be made when a discount of 20% is given on the marked price is -20%.
If the price is p, and the cost is c, then
.90p = 1.2c
we want .80p
.80p = 8/9 * .90p = 8/9 * 1.2c = 1.0667c
so the profit is reduced to 6 2/3 %