Question Details

Find the number of laptops sold by A.

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

48

B

78

C

68

D

38

Show Answer

Correct Answer :

Option B

78

Solution :

Correct Answer: The correct option is 78.


Step-by-step Solution:

Let us analyze the given information step-by-step to find the number of laptops sold by A.


1. Information for B:

The number of desktops sold by B = 60.

The number of laptops sold by B is 43.33% more than the number of desktops sold by B.

Note that 43.33% can be written as 30% + 13.33%, or more precisely, 43.33% = 43 1/3% = 130/3%.

Let us calculate the increase in laptops for B:

Increase = 60 × 43.33 100 = 60 × 130 300 = 26

Therefore, the number of laptops sold by B = 60 + 26 = 86.


2. Information for C:

The number of laptops sold by C = 16.


3. Average number of laptops sold by A, B, and C:

We are given that the average number of laptops sold by all three (A, B, and C) is 60.

Total laptops sold by A, B, and C = 60 × 3 = 180


4. Calculating the number of laptops sold by A:

Laptops sold by A + Laptops sold by B + Laptops sold by C = 180

Substituting the values of laptops sold by B (86) and C (16):

Laptops sold by A + 86 + 16 = 180

Laptops sold by A + 102 = 180

Laptops sold by A = 180 - 102 = 78


Thus, the number of laptops sold by A is 78.

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