ExamVeda
Login
Home
Directions (1 - 5): The following line – graph gives the ratio of the amounts of imports by a company to the amount of exports from that company over the period from 2005 to 2011.
direction image of Line Chart chapter
1
In how many of the given years were the exports more than the imports?
Discuss
Answer & Solution
Clearly, Export > Import only when $$\frac{\text{Import}}{\text{Export}}$$   < 1.
From the graph it is clear that the above ratio is less than 1 in the years 2005, 2006, 2007 and 2010.
Thus (Imports : Exports) < 1 in 4 years
2
If the imports of the company in 2006 be Rs. 272 crores, the exports from the company in the same year was:
Discuss
Answer & Solution
From graph, we find that the ratio of value of import to the value of export in 2006 is 0.85
Let the value of export in 2006 be Rs. $$x$$ crores.
Then,
$$\eqalign{ & \frac{272}{x} = 0.85 \cr & \Rightarrow x = \frac{272}{0.85} \cr & \Rightarrow x = \frac{272\times100}{85} \cr & \Rightarrow x = 320 \cr} $$
Hence, the value of exports in 2006 was Rs. 320 crores
3
If the imports in 2008 was Rs. 250 crores and the total exports in the years 2008 and 2009 together was Rs. 500 crores, then the imports in 2009 was-
Discuss
Answer & Solution
Let the value of export in 2008 be Rs. $$x$$ crores
Then, the value of export in 2009 = Rs. (500 - $$x$$) crores
$$\eqalign{ & \frac{250}{x} = 1.25 \cr & \Rightarrow x = \frac{250}{1.25} \cr & \Rightarrow x = \frac{250\times100}{125} \cr & \Rightarrow x = 200 \cr} $$
∴ Export in 2008 = Rs. 200 crores
Export in 2009
  = Rs. (500 - 200) crores
  = Rs. 300 crores
Let the value of import in 2009 be Rs. $$y$$ crores
Then,
$$\eqalign{ & \frac{y}{300} = 1.40 \cr & \Rightarrow y = 1.40\times300 \cr & \Rightarrow y = \frac{140}{100}\times300 \cr & \Rightarrow y = 420 \cr} $$
Hence, the value of import in 2009 was Rs. 420 crores
4
The imports were minimum proportionate to the exports of the company in which of the following years?
Discuss
Answer & Solution
The imports are minimum proportionate to exports means (value of import) : (value of export) should have minimum value.
Clearly, this ratio has a minimum value of 0.35 in 2007
5
What was the percentage increase in imports from 2007 to 2008?
Discuss
Answer & Solution
The graph gives only the ratio of value of imports and that of exports.
In order to find the percentage increase in imports from 2007 to 2008, we require the value of import or that of export during these years.
So, we cannot find the percentage increase in imports.
Hence, the data is inadequate to answer the question.