Question Details

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.

Options

A

Rs. 40,050

B

Rs. 42,750

C

Rs. 40,750

D

Rs. 55,750

E

Rs. 26,720

Show Answer

Correct Answer :

Option B

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:

Total ratio parts=9+8=17


Step 3: Calculate the quantity of Smartwatches and Fitness bands shipped by Brand Q.

The number of Smartwatches shipped is given by:

Number of Smartwatches=917×850

Number of Smartwatches=9×50=450

The number of Fitness bands shipped is given by:

Number of Fitness bands=817×850

Number of Fitness bands=8×50=400


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 from Smartwatches=450×55=Rs. 24,750

Revenue generated from Fitness bands:

Revenue from Fitness bands=400×45=Rs. 18,000


Step 5: Calculate the total revenue generated by Brand Q.

Adding the revenue from both products:

Total Revenue=24,750+18,000=Rs. 42,750


Therefore, the total revenue generated by brand Q is Rs. 42,750.

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