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 |
Taking all 6 companies together, how many wooden bats of Brand A have been produced?
Option 1: 691000
Option 2: 724000
Option 3: 683000
Option 4: 716000
Correct Answer: 691000
Solution :
For R,
The percentage of wooden bats = 45%
$\therefore$ The number of wooden bats = 0.45 × 550000 = 247500
The ratio of Brand A to Brand B for wooden bats = 21 : 4
$\therefore$ The number of Brand A wooden bats = $\frac{21}{25}$ × 247500 = 207900
For S,
The percentage of wooden bats = 30%
$\therefore$ The number of wooden bats = 0.30 × 550000 = 165000
The ratio of Brand A to Brand B for wooden bats = 8 : 7
$\therefore$ The number of Brand A wooden bats = $\frac{8}{15}$ × 165000 = 88000
For T,
The percentage of wooden bats = 55%
$\therefore$ The number of wooden bats = 0.55 × 550000 = 302500
The ratio of Brand A to Brand B for wooden bats = 6 : 19
$\therefore$ The number of Brand A wooden bats = $\frac{6}{25}$ × 302500 = 72600
For U,
The percentage of wooden bats = 25%
$\therefore$ The number of wooden bats = 0.25×550000 = 137500
The ratio of Brand A to Brand B for wooden bats = 41 : 14
$\therefore$ The number of Brand A wooden bats = $\frac{41}{55}$ × 137500 = 102500
For V,
The percentage of wooden bats = 40%
$\therefore$ The number of wooden bats = 0.40 × 550000 = 220000
The ratio of Brand A to Brand B for wooden bats = 7: 15
$\therefore$ The number of Brand A wooden bats = $\frac{7}{22}$ × 220000 = 70000
For W,
The percentage of wooden bats = 60%
$\therefore$ The number of wooden bats = 0.60 × 550000 = 330000
The ratio of Brand A to Brand B for wooden bats = 5 : 6
$\therefore$ The number of Brand A wooden bats = $\frac{5}{11}$ × 330000 = 150000
$\therefore$ The total number of wooden bats of Brand A produced by all six companies
= 207900 + 88000 + 72600 + 102500 + 70000 + 150000 = 691000
Hence, the correct answer is 691000.
Related Questions
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 |
P = The sum of wooden bats of Brand B manufactured by S and wooden bats of Brand A manufactured by W.
Q = The difference between Brand B wooden bats and Brand A wooden bats manufactured by U.
What is the value of (P – Q)?
Option 1: 67500
Option 2: 177700
Option 3: 159500
Option 4: 123500
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 |
$N$ = Wooden bats of Brand B manufactured by U
$M$ = Total wooden bats manufactured by R and W together.
What is the value of $\frac{N}{M}$?
Option 1: 0.043
Option 2: 0.061
Option 3: 0.125
Option 4: 0.087
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
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
Question : The table given below shows the sales turnover of 5 different companies.
| Company | Sales turnover |
| A | 120 |
| B | 80 |
| C | 200 |
| D | 250 |
| E | 150 |
The sales turnover of company A is what percentage of the sales turnover of company C?
Option 1: 60%
Option 2: 50%
Option 3: 40%
Option 4: 75%
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