A man bought a bag for $30 and decided to sell it for 15% off in his store. However, he wanted to make 20% of this sale, what price should he mark the bag?
The way I interpreted it, the man wants to make a 20% profit on the bag after the 15 discount.
In this case, you would first find what 20% profit on $30 is, and then find what the total would be before the 15% discount:
So:
20% * $30 + $30
= 1.2 * 30
= 36
So the man would need to sell the bag for a final price of $36, after the discount.
Therefore, we now need to find the price of the bag before the 15% discount, which we can call x:
x - 0.15x = 36
0.85 x = 36
x =42.35
So he needs to sell it for $42.35 before the discount, or $36 after the discount.
The way I interpreted it, the man wants to make a 20% profit on the bag after the 15 discount.
In this case, you would first find what 20% profit on $30 is, and then find what the total would be before the 15% discount:
So:
20% * $30 + $30
= 1.2 * 30
= 36
So the man would need to sell the bag for a final price of $36, after the discount.
Therefore, we now need to find the price of the bag before the 15% discount, which we can call x:
x - 0.15x = 36
0.85 x = 36
x =42.35
So he needs to sell it for $42.35 before the discount, or $36 after the discount.