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
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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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