Question : Directions: The bar graph provided below gives the data on the production of paper (in lakh tonnes) by three different companies X, Y and Z over the years. Study the bar chart and answer the following questions.
The ratio of the average production of company X in the period 1998-2000 to the average production of company Y in the same period is:
Option 1: 27 : 29
Option 2: 23 : 25
Option 3: 25 : 26
Option 4: 24 : 27
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Correct Answer: 23 : 25
Solution :
As per the graph,
The total production of company X in the period 1998 - 2000 = 25 + 50 + 40 = 115 lakh tonnes
The number of years = 3
The average production of company X in the period 1998-2000 = $\frac{\text{The total production of company X in the period 1998-2000}}{{\text{The number of years}}}$
= $\frac{115}{3}$ lakh tonnes
The total production of company Y in the period 1998-2000 = 35 + 40 + 50 = 125 lakh tonnes
The number of years = 3
= $\frac{\text{The total production of company Y in the period 1998-2000}}{{\text{The number of years}}}$
The average production of company Y in the period 1998-2000 = $\frac{125}{3}$ lakh tonnes
The required ratio = $\frac{115}{3}:\frac{125}{3}$
= 23 : 25
Hence, the correct answer is 23 : 25.
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