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

E

98

Show Answer

Correct Answer :

Option B

78

Solution :

Correct Option: 78

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

First, let's analyze store B's data:
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.

Convert 43.33% into a fraction or convenient numerical representation:
43.33%=4313%=1303%=130300=1330

Therefore, the number of laptops sold by B is:
Laptops sold by B=60+(60×1330)=60+26=86

Next, let's analyze store C's data:
The number of laptops sold by C = 16.

We are given that the average number of laptops sold by all three (A, B, and C) is 60.
Average=Laptops (A)+Laptops (B)+Laptops (C)3=60

Multiply both sides by 3 to find the total number of laptops sold by A, B, and C:
Laptops (A)+Laptops (B)+Laptops (C)=180

Substitute the values of laptops sold by B (86) and C (16) into the equation:
Laptops (A)+86+16=180

Laptops (A)+102=180

Laptops (A)=180-102=78

Hence, the total number of laptops sold by A is 78.

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