Question Details

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 bagsDifference between red and blue ballsPercentage of red ball with respect to total balls
A6062.5%
B19866.5%
C18870%
D7660%
E33072%

The number of Red ball in A and E together is what percentage of number of blue balls in A and E together.

Options

A

230

B

220

C

240

D

280

Show Answer

Correct Answer :

Option A

230

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:

100%-62.5%=37.5%

The difference in percentage between red and blue balls is:

62.5%-37.5%=25%

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 TA be the total number of balls in Bag A:

25% of TA=60

0.25×TA=60

TA=600.25=240

Now we calculate the individual counts of red and blue balls in Bag A:
Number of red balls in A (RA):

RA=62.5% of 240=150

Number of blue balls in A (BA):

BA=240-150=90

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:

100%-72%=28%

The difference in percentage between red and blue balls is:

72%-28%=44%

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 TE be the total number of balls in Bag E:

44% of TE=330

0.44×TE=330

TE=3300.44=750

Now we calculate the individual counts of red and blue balls in Bag E:
Number of red balls in E (RE):

RE=72% of 750=540

Number of blue balls in E (BE):

BE=750-540=210

3. Calculating the Combined Percentage:
Total number of red balls in A and E together:

RA+RE=150+540=690

Total number of blue balls in A and E together:

BA+BE=90+210=300

The percentage of red balls in A and E together with respect to blue balls in A and E together is:

690300×100%=2.3×100%=230%

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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