Question Details

Find the total desktops sold by all three.

The information is about the number of laptops and desktops sold by A, B, and C.
A: The number of desktops sold is 40 less than the number of laptops sold.
B: The number of desktops sold is 60. The number of laptops sold is 43.33% more than the number of desktops sold.
C: The number of laptops sold is 16. The number of desktops sold is equal to the number of laptops sold by A.
The average number of laptops sold by all three is 60.

Options

A

176

B

146

C

166

D

136

E

196

Show Answer

Correct Answer :

Option A

176

Solution :

The correct option is 176.

Let us solve this step-by-step by analyzing the information given for each seller (A, B, and C):

Step 1: Calculate the laptops and desktops sold by B
Given:
Number of desktops sold by B = 60.
Number of laptops sold by B is 43.33% more than the number of desktops sold.
Note that 43.33% can be written as 43 + 1/3% = 130/3%.
So, the number of laptops sold by B = 60+(130300×60)=60+26=86.

Step 2: Use the average number of laptops to find laptops sold by A
Given:
The average number of laptops sold by A, B, and C = 60.
Therefore, the total number of laptops sold by all three = 60×3=180.
Laptops sold by C = 16.
Laptops sold by B = 86.
So, Laptops sold by A = 180-(86+16)=180-102=78.

Step 3: Calculate the desktops sold by A and C
For A:
The number of desktops sold by A is 40 less than the number of laptops sold by A.
Desktops sold by A = 78-40=38.

For C:
The number of desktops sold by C is equal to the number of laptops sold by A.
Desktops sold by C = 78.

Step 4: Find the total number of desktops sold by all three
Total desktops sold = Desktops (A) + Desktops (B) + Desktops (C)
Total desktops sold = 38+60+78=176.

Thus, the total number of desktops sold by all three is 176.

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