Directions: Read the following table carefully and answer the question given below.

The table shows the total number of home appliances (Smart TVs, Refrigerators, and Air Conditioners) sold by four different retail branches and the percentage of Smart TVs sold out of the total appliances sold. The table also depicts the difference between the number of Refrigerators and Air Conditioners sold by these four branches.

Note: The number of Refrigerators sold is higher than the number of Air Conditioners sold by each branch.

Retail Branches	Total number of appliances sold	Percentage of Smart TVs sold	Difference between Refrigerators and Air Conditioners sold
Branch P	400	25%	70
Branch Q	550	10%	85
Branch R	360	30%	52
Branch S	280	15%	102

By what percentage is the total quantity of Refrigerators sold by Branch R higher or lower than the total count of Smart TVs sold by Branch P?

The correct answer is 52%.

Step 1: Find the number of Smart TVs sold by Branch P.
From the table data, total appliances sold by Branch P = 400
Percentage of Smart TVs sold = 25%

$\text{Smart TVs (Branch P)}=400\times \frac{25}{100}=100$

Step 2: Find the number of Refrigerators sold by Branch R.
Total appliances sold by Branch R = 360
Percentage of Smart TVs sold = 30%

$\text{Smart TVs (Branch R)}=360\times \frac{30}{100}=108$

The remaining appliances (Refrigerators + Air Conditioners) sold by Branch R:
$360-108=252$

Let R be the number of Refrigerators sold and A be the number of Air Conditioners sold by Branch R.
We have:
$R+A=252$
$R-A=52$

Adding the two equations together:

$2R=252+52=304$

$R=\frac{304}{2}=152$

So, the number of Refrigerators sold by Branch R is 152.

Step 3: Calculate the percentage by which Refrigerators sold by Branch R is higher than Smart TVs sold by Branch P.
Refrigerators sold by Branch R = 152
Smart TVs sold by Branch P = 100

Difference = $152-100=52$

Required Percentage =

$\frac{152-100}{100}\times 100\%=\frac{52}{100}\times 100\%=52\%$

Therefore, the total quantity of Refrigerators sold by Branch R is 52% higher than the total count of Smart TVs sold by Branch P.