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 1995 to 2001.
Ratio of Value of Imports to Exports by a Company Over the Years.
Q1.If the imports in 1998 was Rs. 250 crores and the total exports in the years 1998 and 1999 together was Rs. 500 crores, then the imports in 1999 was ?
A. Rs. 250 crores
B. Rs. 300 crores
C. Rs. 357 crores
D. Rs. 420 crores
E. Rs. 450 crores
Q2. The imports were minimum proportionate to the exports of the company in the year ?
A. 1995
B. 1996
C. 1997
D. 2000
E. 1998
Q3. What was the percentage increase in imports from 1997 to 1998 ?
A. 72
B. 56
C. 28
D. Data Inadequate
E. 30
Q4. If the imports of the company in 1996 was Rs. 272 crores, the exports from the company in 1996 was ?
A. Rs. 370 crores
B. Rs. 320 crores
C. Rs. 280 crores
D. Rs. 275 crores
E. Rs. 300 crores
Q5. In how many of the given years were the exports more than the imports ?
A. 1
B. 2
C. 3
D. 4
E. 5
Answer & Explanation The ratio of imports to exports for the years 1998 and 1999 are 1.25 and 1.40 respectively.Let the exports in the year 1998 = Rs. x crores. Then, the exports in the year 1999 = Rs. (500 – x) crores. 1.25 = 250/x x = 250/1.25 = 200 [ Using ratio for 1998 ] Thus, the exports in the year 1999 = Rs. (500 – 200) crores = Rs. 300 crores. Let the imports in the year 1999 = Rs. y crores. Then, 40 = y/300 y = (300 * 1.40) = 420 Imports in the year 1999 = Rs. 420 crores. The imports are minimum proportionate to the exports implies that the ratio of the value of imports to exports has the minimum value. Now, this ratio has a minimum value 0.35 in 1997, i.e., the imports are minimum proportionate to the exports in 1997. The graph gives only the ratio of imports to exports for different years. To find the percentage increase in imports from 1997 to 1998, we require more details such as the value of imports or exports during these years. Hence, the data is inadequate to answer this question. Ratio of imports to exports in the year 1996 = 0.85. Let the exports in 1996 = Rs. x crores. Then , 272/x = 0.85 x = 272/0.85 = 320 Exports in 1996 = Rs. 320 crores. The exports are more than the imports imply that the ratio of value of imports to exports is less than 1. Now, this ratio is less than 1 in years 1995, 1996, 1997 and 2000. Thus, there are four such years.