Quality Cleaners decides to raise the price of dry cleaning a vest from $5 to $6. The same percent increase is applied to dry cleaning a dress. The old cost of dry cleaning a dress is $12. What is the new cost of dry cleaning a dress?
The original price of dry cleaning a vest = $5
The new price of dry cleaning a vest = $6
The percentage increase is obtained by
new price-old price/old price × 100 = 20%
so there is a 20% increase in price.
applying this 20% increase to the cost of dry cleaning, the new cost will become
100+20/100 ×12
this is a 120% increase in cost.
mathematically this can be solved by
120/100×12 = $14.4
the new cost of dry cleaning is $14.4
To find the new cost of dry cleaning a dress, we need to determine the percent increase and apply it to the old cost.
Step 1: Find the percent increase:
The price of dry cleaning the vest increased from $5 to $6. Therefore, the increase in price is $6 - $5 = $1.
The percent increase can be calculated as (increase/original cost) * 100.
In this case, the percent increase is ($1/$5) * 100 = 20%.
Step 2: Apply the percent increase to the old cost:
The old cost of dry cleaning a dress is $12.
To find the increase, we multiply the old cost by the percent increase expressed as a decimal: 20% = 0.2.
The increase in price of the dress is $12 * 0.2 = $2.4.
Step 3: Calculate the new cost:
To find the new cost, add the increase in price to the old cost.
The new cost of dry cleaning a dress is $12 + $2.4 = $14.4.
Therefore, the new cost of dry cleaning a dress is $14.4.
To find the new cost of dry cleaning a dress, we need to calculate the percent increase and then apply that increase to the old cost. Here's how:
1. Calculate the percent increase:
Percent Increase = (New Cost - Old Cost) / Old Cost * 100
In this case, the old cost of dry cleaning a dress is $12, and the new cost of dry cleaning a vest is $6.
Therefore,
Percent Increase = (6 - 5) / 5 * 100
Percent Increase = 1 / 5 * 100
Percent Increase = 0.2 * 100
Percent Increase = 20%
2. Apply the percent increase to the old cost of dry cleaning a dress:
New Cost = Old Cost + (Percent Increase / 100) * Old Cost
In this case,
New Cost = 12 + (20 / 100) * 12
New Cost = 12 + 0.2 * 12
New Cost = 12 + 2.4
New Cost = $14.40
Therefore, the new cost of dry cleaning a dress is $14.40.