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 |
For brand Q, the price of each fitness band and smartwatch is Rs. 45 and Rs. 55 respectively. Calculate the total revenue generated by brand Q.
Correct Answer :
Rs. 42,750
Solution :
The correct option is Rs. 42,750.
Step 1: Extract the relevant data for Brand Q from the table.
According to the given table:
- Total smart wearables shipped by brand Q = 850 units
- Ratio of Smartwatches to Fitness bands shipped by brand Q = 9 : 8
Step 2: Find the total number of ratio parts.
The total ratio parts representing the total volume of smart wearables for brand Q is:
Step 3: Calculate the quantity of Smartwatches and Fitness bands shipped by Brand Q.
The number of Smartwatches shipped is given by:
The number of Fitness bands shipped is given by:
Step 4: Calculate the revenue generated from each category.
Given prices:
- Price of each Smartwatch = Rs. 55
- Price of each Fitness band = Rs. 45
Revenue generated from Smartwatches:
Revenue generated from Fitness bands:
Step 5: Calculate the total revenue generated by Brand Q.
Adding the revenue from both products:
Therefore, the total revenue generated by brand Q is Rs. 42,750.
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