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The total number of grey colour balloons manufactured on Wednesday is what percentage of the total number of green 50 and grey colour balloons manufactured on Monday?
50%
70%
80%
40%
None of the above
80%
Find Monday's Grey balloons directly from the ratio sum: 450├╖(3+4+2)=50. Monday's (Green + Grey) = 4(50)+2(50)=300. Result is 240/300=80%.
Monday: Ratio of Purple(P):Green(G):Grey(Gr) is 3:4:2, Total sum = 450. Wednesday: Grey balloons = 240.
Percentage=(BaseValueтАЛ)├Ч100%
Find Monday's Grey balloons directly from the ratio sum: 450├╖(3+4+2)=50. Monday's (Green + Grey) = 4(50)+2(50)=300. Result is 240/300=80%.
Students often calculate the percentage of Grey on Wednesday against only Green balloons of Monday, forgetting the 'Green AND Grey' instruction.
Calculate Monday's balloon values
Given the ratio P:G:Gr=3:4:2, the sum of parts is 3+4+2=9. Total balloons = 450. Value of one part is 450/9=50.
Green=4├Ч50=200,Grey=2├Ч50=100
Calculate the denominator
The question asks for the sum of Green and Grey balloons on Monday, which is 200+100=300.
Sum=200+100=300
Calculate the final percentage
Wednesday Grey balloons = 240. We need to find 240 as a percentage of 300.
Percentage=300240тАЛ├Ч100%=80%
C is correct because the total of Green and Grey balloons on Monday is 300, and 240 is 80% of 300.
Always identify the 'Base' value after the word 'of' in percentage questions; here, it is (Green + Grey) of Monday, not the total of Monday.
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