Question

Percent increase or decrease:

an item's quality reduces from 1,012 to 948. what is the percentage decrease of the quantity? round your answer to the nearest tenth of a percent.​

Answer 1

The percentage decrease in the quantity is approximately 6.3%.

Step-by-step explanation:

To calculate the percentage decrease in quantity, we need to find the difference between the starting quantity and the final quantity, then divide it by the starting quantity and multiply by 100.

Step 1: Find the difference between the starting quantity and the final quantity: 1012 - 948 = 64.

Step 2: Divide the difference by the starting quantity: 64 / 1012 = 0.06336633663.

Step 3: Multiply the result by 100 to find the percentage decrease: 0.06336633663 * 100 = 6.33663366336.

Answer 2

The reduced percentage of the quantity = 6.32%

Rounding off 6.32 % to the nearest tenth , we get the same percentage.

Step-by-step explanation:

The initial cost price of the itam = 1012

The new reduced price = 948

So, the reduced amount = Marked Price - the reduced price

= 1012 - 948 = 64

Now, the percentage decrease =
`\frac{\textrm{Reduced amount}}{\textrm{Marked price}}  * 100`

=
`(64)/(1012)   * 100  = 6.32`

So, the reduced percentage = 6.32%

Rounding off 6.32 % to the nearest tenth , we get the same percentage.