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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

What is the total number of wooden bats of brand A manufactured by company T?

Option 1: 23420

Option 2: 22990

Option 3: 68920

Option 4: 72600


Team Careers360 8th Jan, 2024
Answer (1)
Team Careers360 19th Jan, 2024

Correct Answer: 72600


Solution : The total number of bats manufactured by company T is 550000.
Given that 45% of these are plastic bats.
So the number of wooden bats is 55% of the total.
The total number of wooden bats = 550000 × $\frac{55}{100}$ = 302500
The ratio of Brand A to Brand B wooden bats for company T is 6 : 19.
$\therefore$ The total number of Brand A wooden bats = 302500 × $\frac{6}{6+19}$ = 302500 × $\frac{6}{25}$ = 72600
Hence, the correct answer is 72600.

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