Directions: Analyze the data presented in the table below to answer the question.

The following table displays the total volume of smart wearables (Smartwatches and Fitness bands) shipped by five different electronics brands, alongside the ratio of Smartwatches to Fitness bands shipped by each brand.

Brands	Total smart wearables shipped	Smartwatches : Fitness bands
P	700	5:9
Q	850	9:8
R	980	4:3
S	1200	8:7
T	1020	5:7

The number of smartwatches shipped by brand T is approximately what percent of the number of smartwatches shipped by brand S?

Correct Answer: The correct option is 66%.

Step 1: Extract data from the given table
From the provided table, we obtain the required values for Brand T and Brand S:
• Brand T: Total smart wearables shipped = 1020, Ratio of Smartwatches to Fitness bands = 5 : 7
• Brand S: Total smart wearables shipped = 1200, Ratio of Smartwatches to Fitness bands = 8 : 7

Step 2: Calculate the number of smartwatches shipped by Brand T
The ratio of smartwatches to fitness bands for Brand T is 5 : 7.
Total ratio parts = 5 + 7 = 12 equal parts.
Smartwatches account for 5 out of these 12 parts.

$\text{Smartwatches (Brand T)}=1020\times \frac{5}{5+7}$

$\text{Smartwatches (Brand T)}=1020\times \frac{5}{12}=85\times 5=425$

Step 3: Calculate the number of smartwatches shipped by Brand S
The ratio of smartwatches to fitness bands for Brand S is 8 : 7.
Total ratio parts = 8 + 7 = 15 equal parts.
Smartwatches account for 8 out of these 15 parts.

$\text{Smartwatches (Brand S)}=1200\times \frac{8}{8+7}$

$\text{Smartwatches (Brand S)}=1200\times \frac{8}{15}=80\times 8=640$

Step 4: Calculate the required percentage
We determine what percent the smartwatches shipped by Brand T are of those shipped by Brand S:

$\text{Percentage}=\left(\frac{\text{Smartwatches shipped by Brand T}}{\text{Smartwatches shipped by Brand S}}\right)\times 100$

$\text{Percentage}=\left(\frac{425}{640}\right)\times 100$

$\text{Percentage}=\frac{42500}{640}\approx 66.41\%$

Rounding off to the nearest whole number, the percentage is approximately 66%.