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Question : The following pie chart shows the data regarding the donors of A, B, O, and AB blood groups.


The ratio of the number of donors of blood group ' $O$ ' to the average of the number of donors of blood groups ' $\mathrm{A}$ ' and ' $\mathrm{AB}$ ' together is:

Option 1: 2 : 3

Option 2: 1 : 1

Option 3: 2 : 1

Option 4: 1 : 2


Team Careers360 5th Jan, 2024
Answer (1)
Team Careers360 19th Jan, 2024

Correct Answer: 1 : 1


Solution : Let the total number of donors be $a$.
Number of donors of blood group '$O$' = $\frac{80°}{360°}\times a$
Number of donors of blood group '$A$' = $\frac{90°}{360°}\times a$
Number of donors of blood group '$AB$' = $\frac{70°}{360°}\times a$
Average of the number of donors of blood groups ' $\mathrm{A}$ ' and ' $\mathrm{AB}$ ' together
= $\frac{1}{2}\times ( \frac{90°}{360°}\times a+\frac{70°}{360°}\times a)$
= $\frac{80°}{360°}\times a$
So, the Ratio of the number of donors of blood group ' $O$ ' to the average of the number of donors of blood groups ' $\mathrm{A}$ ' and ' $\mathrm{AB}$ ' together = $\frac{80°}{360°}\times a:{\frac{80°}{360°}\times a}$ = 1 : 1
Hence, the correct answer is 1 : 1.

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