The table given below shows the total number of red and blue balls in five different bags (A, B, C, D & E). it also shows the difference between red and blue balls and percentage of red balls with respect to total balls.
| Total bags | Difference between red and blue balls | Percentage of red ball with respect to total balls |
|---|---|---|
| A | 60 | 62.5% |
| B | 198 | 66.5% |
| C | 188 | 70% |
| D | 76 | 60% |
| E | 330 | 72% |
The number of Red ball in A and E together is what percentage of number of blue balls in A and E together.
Correct Answer :
230
Solution :
To find the relationship between the balls in bags A and E, we first calculate the total number of red and blue balls in each of these bags.
1. Analysis of Bag A:
We are given that the percentage of red balls in Bag A is 62.5%.
Therefore, the percentage of blue balls in Bag A is:
The difference in percentage between red and blue balls is:
We are given that the difference between red and blue balls is 60. Therefore, 25% of the total balls in Bag A equals 60.
Let be the total number of balls in Bag A:
Now we calculate the individual counts of red and blue balls in Bag A:
Number of red balls in A ():
Number of blue balls in A ():
2. Analysis of Bag E:
We are given that the percentage of red balls in Bag E is 72%.
Therefore, the percentage of blue balls in Bag E is:
The difference in percentage between red and blue balls is:
We are given that the difference between red and blue balls in Bag E is 330. Therefore, 44% of the total balls in Bag E equals 330.
Let be the total number of balls in Bag E:
Now we calculate the individual counts of red and blue balls in Bag E:
Number of red balls in E ():
Number of blue balls in E ():
3. Calculating the Combined Percentage:
Total number of red balls in A and E together:
Total number of blue balls in A and E together:
The percentage of red balls in A and E together with respect to blue balls in A and E together is:
Therefore, the number of red balls in bags A and E together is 230% of the number of blue balls in A and E together.
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