Introduction to Data Interpretation problems
- 1. Approximately what was the expenditure in 1994?
Options- A. $ 120 Million
- B. $ 160 Million
- C. $ 140 Million
- D. $ 180 Million Discuss
Correct Answer: $ 140 Million
Explanation:
Let us assume E was the expenditure in 1994.
As we can see in the graph given that,
Profit = 15 % ,
Income in 1994 = 160
Then according to question,
E + E x 15 % = 160
E + E x 15 /100 = 160
(100E + E x 15 ) /100 = 160
115E / 100 = 160
115E = 160 x 100
E = 160 x 100 / 115
E = 139.13
Expenditure in 1994 E = 139.13 ? 140 Million
- 2. If the profit percentage in 1997 was 25, what would have been the expenditure in that year?
Options- A. $ 130 Million
- B. $ 148 Million
- C. $ 120 Million
- D. $ 152 Million Discuss
Correct Answer: $ 152 Million
Explanation:
Let us assume E was the expenditure in 1997.
As we can see in the given graph that,
Income in 1997 = 190
Profit = 25 % (Given in the question.)
Then according to question,
E + E x 25 % = 190
E + E x 25 /100 = 190
(100E + E x 25 ) /100 = 190
125E / 100 = 160
125E = 190 x 100
E = 190 x 100 / 125 = 190 x 4 / 5 = 38 x 4
E = 152
Expenditure in 1997 E = 152 Million
- 3. Approximately what was the average expenditure of the given years?
Options- A. $ 110 Million
- B. $ 130 Million
- C. $ 120 Million
- D. $ 140 Million Discuss
Correct Answer: $ 130 Million
Explanation:
Total expenditure in 6 years = ( expenditure in 1993 + expenditure in 1994 + expenditure in 1995 + expenditure in 1996 + expenditure in 1997 + expenditure in 1998 ).
As we can see in the given graph that,
Income in 1993 = 120
Profit = 7.5 %
Then Expenditure in 1993 = 120 X 100 / 107.5
Similarly
Expenditure in 1994 = 160 X 100 / 115
Expenditure in 1995 = 130 X 100 / 122.5
Expenditure in 1996 = 170 X 100 / 117.5
Expenditure in 1997 = 190 X 100 / 120
Expenditure in 1998 = 150 X 100 / 127.5
Total Expenditure in 6 years = ( 120 X 100 / 107.5 ) + ( 160 X 100 / 115 ) + ( 130 X 100/122.5 ) + ( 170 X 100 / 117.5 ) + ( 190 X 110 / 120 ) + ( 150 X 100/127.5 )
Total Expenditure in 6 years = 111.6 2 +139.13 + 106.16 + 144.68 + 158.33 + 117.64
Total Expenditure in 6 years = 777.56
Average expenditure per years = 777.56 / 6 = 12 .59 ? $ 130 Million
- 4. In which of the following years was the amount of profit the maximum?
Options- A. 1997
- B. 1994
- C. 1993
- D. 1995 Discuss
Correct Answer:
Explanation:
- 5. In which of the following years was the increase/ decrease in percent profit from the previous year the minimum?
Options- A. 1994
- B. 1996
- C. 1997
- D. 1995 Discuss
Correct Answer: 1994
Explanation:
- 6. Total production for two years together by unit F is what % of the total production of the two years together by unit D? (rounded off to two digits after decimal)
Options- A. 79.49
- B. 78.49
- C. 78.47
- D. 79.29 Discuss
Correct Answer: 79.49
Explanation:
As we can see in the graph that
Total production by unit F in year 2001 and 2002 together = ( 70 + 85 ) = 155 Million tons
Similarly
Total production by unit D in year 2001 and 2002 together = ( 95 + 100 ) = 195 Million tons
? Required percentage = (Total production by unit F in year 2001 and 2002 together x 100 / Total production by unit D in year 2001 and 2002 together )
? Required percentage = ( 155 x 100 / 195 )
=79.487 ? 79.49
- 7. Average production of three units A, B and C in 2001 is what % of the average production of units D, E and F in 2002? (rounded off to two digits after decimal)
Options- A. 109.43
- B. 90.37
- C. 91.38
- D. 106.43 Discuss
Correct Answer: 91.38
Explanation:
- 8. What is the total production of units C, D and E together for both the years? (in Million tons)
Options- A. 495
- B. 595
- C. 545
- D. 515 Discuss
Correct Answer: 595
Explanation:
As we can see in the graph that
Total production by unit C, D and E in year 2001 and 2002 together = (100 + 110 + 95 + 100 + 85 + 105 )
Required total production = (100 + 110 + 95 + 100 + 85 + 105) = 595 Million tons.
- 9. What is the average production of all the units (in million tons) for the year 2002?
Options- A. 89
- B. 92
- C. 87
- D. 95 Discuss
Correct Answer: 95
Explanation:
- 10. What is the ratio of total production for two years together for unit B to that for C?
Options- A. 17 : 13
- B. 13 : 17
- C. 11 : 13
- D. 19 : 13 Discuss
Correct Answer: 17 : 13
Explanation:
Total production by unit B in 2001 and 2002 together = (75 + 60) = 135 Million tons
Total production by unit C in 2001 and 2002 together = (100 + 110) = 210 Million tons
? Required ratio = (135:210) = 9:14.
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