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
Correct Answer: 159500
Solution :
Given: P is the sum of wooden bats of Brand B manufactured by S and wooden bats of Brand A manufactured by W.
For S,
The percentage of wooden bats = 30%
⇒ The number of wooden bats = 0.30 × 550000 = 165000
The ratio of brand A to Brand B for wooden bats = 8 : 7
The number of brand B wooden bats = $\frac{7}{15}$ × 165000 = 77000
For W,
The percentage of wooden bats = 60%
⇒ The number of wooden bats = 0.60 × 550000 = 330000
The ratio of Brand A to Brand B for wooden bats = 5 : 6
⇒ The number of Brand A wooden bats = $\frac{5}{11}$ × 330000 = 150000
⇒ P = 77000 + 150000 = 227000
Given that Q is the difference between Brand B wooden bats and Brand A wooden bats manufactured by U.
For U,
The percentage of wooden bats = 25%
⇒ The number of wooden bats = 0.25 × 550000 = 137500
⇒ The ratio of Brand A to Brand B for wooden bats = 41 : 14
⇒ The number of Brand A wooden bats = $\frac{41}{55}$ × 137500 = 102500
And, the number of Brand B wooden bats = $\frac{14}{55}$ × 137500 = 35000
⇒ Q = 35000 – 102500 = 67500
Therefore, P – Q = 227000 – 67500 = 159500
Hence, the correct answer is 159500.
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 |
$N$ = 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 : 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
Question : The table given below shows the number of spoons manufactured by five factories.
| Factory | Spoons |
| P | 100 |
| Q | 200 |
| R | 150 |
| S | 50 |
| T | 250 |
What is the ratio of the number of spoons manufactured by P to the number of spoons manufactured by R?
Option 1: 3 : 2
Option 2: 2 : 3
Option 3: 14 : 1
Option 4: 1 : 3
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