Question : Directions: The table given below shows information about bats manufactured by six different companies. Each company manufactures only plastic and wooden bats. Each company labels these bats as Brand A or Brand B. The table shows the number of plastic bats as a percentage of the total bats manufactured by each company. It also shows the ratio of wooden bats labelled A and B. Each company manufactured a total of 550000 bats.

Company Plastic bats Brand A : B
R 55% 21 : 4
S 70% 8 : 7
T 45% 6 : 19
U 75% 41 : 14
V 60% 7 : 15
W 40% 5 : 6

X = Average of plastic bats manufactured by V, U, and T.
Y = Wooden bats of Brand A manufactured by V.
What is the value (X – Y)?

Option 1: 197600

Option 2: 432890

Option 3: 260000

Option 4: 293300


Team Careers360 6th Jan, 2024
Answer (1)
Team Careers360 24th Jan, 2024

Correct Answer: 260000


Solution : X is the average of plastic bats manufactured by V, U, and T.
For V, the percentage of plastic bats is 60%.
The number of plastic bats = 0.60 × 550000 = 330000
For U, the percentage of plastic bats is 75%.
The number of plastic bats = 0.75 × 550000 = 412500
For T, the percentage of plastic bats is 45%.
The number of plastic bats = 0.45 × 550000 = 247500
$\therefore$ X = $\frac{330000 + 412500 + 247500}{3}$ = 330000
Y is the number of wooden bats of Brand A manufactured by V.
For V, the percentage of wooden bats = 100% – 60% = 40%
The number of wooden bats = 0.40 × 550000 = 220000
Since the ratio of Brand A to Brand B for wooden bats is 7 : 15.
So, the number of Brand A wooden bats = $\frac{7}{22}$ × 220000 = 70000
$\therefore$ Y = 70000
⇒ X – Y = 330000 – 70000 = 260000
Hence, the correct answer is 260000.

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