Answer the questions based on the given line graph.
Ratio of Exports to Imports (in terms of money in Rs. crores) of Two Companies Over the Years
In 1995, the export of Company A was double that of Company B. If the imports of Company A during the year was Rs. 180 crores, what was the approximate amount of imports of Company B during that year?
Rs. 190 crores
Rs. 210 crores
Rs. 225 crores
Cannot be determined
Correct answer is B
In 1995 for Company A we have:
EA/IA = 1.75 ... (i)
[where EA = amount of exports, IA = amount of imports of Company a in 1995]
In 1995 for Company B we have:
EB/IB = 0.75 ... (ii)
[where EB = amount of exports, IB = amount of imports of Company B in 1995]
Also, we have EA = 2EB ... (iii)
Substituting IA = Rs. 180 crores (given) in (i), we get:
EA = Rs. (180 x 1.75) crores = Rs. 315 crores.
Using EA = Rs. 315 crores in (iii), we get:
EB = EA/2 = Rs. ( 315/2 ) crores.
Substituting EB = Rs. ( 315/2 ) crores in (ii), we get:
IB = EB/0.75 = Rs. ( 315/(2 x 0.75) ) crores = Rs. 210 crores.
i.e., amount of imports of Company B in 1995 = Rs. 210 crores.