Question : Study the given graph and answer the question that follows.
The average production of cement by company B in 2015, 2016, and 2018 is what percentage less than the average production of cement by company C in 2015 and 2017 ?
Option 1: $7 \frac{3}{7} \%$
Option 2: $7 \frac{1}{7} \%$
Option 3: $5 \frac{1}{3} \%$
Option 4: $6 \frac{2}{3} \%$
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Correct Answer: $6 \frac{2}{3} \%$
Solution :
Production of cement by company B in 2015, 2016 and 2018 = 150 + 180 + 300 = 630
Average = $\frac{630}{3}=210$
Production of cement by company C in 2015 and 2017 = 200 + 250 = 450
Average = $\frac{450}{2}=225$
Difference = 225 – 210 = 15
Required percentage = $\frac{\text{Difference}}{\text{Average production of C}}\times 100$
= $\frac{15}{225}\times 100$
= $6 \frac{2}{3}$
Hence, the correct answer is $6 \frac{2}{3} \%$.
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