Question

The exports and imports (in crores of Rs.) of a country from the year 2000 to 2007 are given in the following bar chart. In which year is the combined percentage increase in imports and exports the highest?

Bar chart showing exports and imports in crores of Rupees from year 2000 to 2007
Exports and imports bar chart
Official answer and solution
Official answer
2006
From
Official GATE 2015 answer key

Solution

Calculate total trade (Exports + Imports) for each year from the bar chart and find the percentage increase relative to the preceding year.

From the bar chart, read the values of Exports (EE) and Imports (II) in crores of Rupees for each year, and compute their sum T=E+IT = E + I:

  • 2000: E=50,I=40  ⟹  T2000=90E = 50, I = 40 \implies T_{2000} = 90
  • 2001: E=60,I=50  ⟹  T2001=110E = 60, I = 50 \implies T_{2001} = 110
  • 2002: E=70,I=60  ⟹  T2002=130E = 70, I = 60 \implies T_{2002} = 130
  • 2003: E=60,I=70  ⟹  T2003=130E = 60, I = 70 \implies T_{2003} = 130
  • 2004: E=70,I=80  ⟹  T2004=150E = 70, I = 80 \implies T_{2004} = 150
  • 2005: E=70,I=90  ⟹  T2005=160E = 70, I = 90 \implies T_{2005} = 160
  • 2006: E=100,I=120  ⟹  T2006=220E = 100, I = 120 \implies T_{2006} = 220
  • 2007: E=110,I=120  ⟹  T2007=230E = 110, I = 120 \implies T_{2007} = 230

Calculate the year-on-year combined percentage increase Tcurr−TprevTprev×100%\frac{T_{\text{curr}} - T_{\text{prev}}}{T_{\text{prev}}} \times 100\%:

  • 2001: 110−9090×100%=2090×100%≈22.22%\frac{110 - 90}{90} \times 100\% = \frac{20}{90} \times 100\% \approx 22.22\%
  • 2002: 130−110110×100%=20110×100%≈18.18%\frac{130 - 110}{110} \times 100\% = \frac{20}{110} \times 100\% \approx 18.18\%
  • 2003: 130−130130×100%=0%\frac{130 - 130}{130} \times 100\% = 0\%
  • 2004: 150−130130×100%=20130×100%≈15.38%\frac{150 - 130}{130} \times 100\% = \frac{20}{130} \times 100\% \approx 15.38\%
  • 2005: 160−150150×100%=10150×100%≈6.67%\frac{160 - 150}{150} \times 100\% = \frac{10}{150} \times 100\% \approx 6.67\%
  • 2006: 220−160160×100%=60160×100%=37.50%\frac{220 - 160}{160} \times 100\% = \frac{60}{160} \times 100\% = 37.50\%
  • 2007: 230−220220×100%=10220×100%≈4.55%\frac{230 - 220}{220} \times 100\% = \frac{10}{220} \times 100\% \approx 4.55\%

The combined percentage increase is highest in the year 2006 (37.50%37.50\%).

Final answer

2006

Common trap

Comparing absolute increase rather than percentage increase, though in this case 2006 also has the highest absolute increase (6060 crores).

The answer is the one in the official GATE answer key. The solution is this site's own explanation.

Source

Paper
GATE 2015 Computer Science and Information Technology (CS) Session 3
Question
10 of 65, printed as GA Q.10
Section
General Aptitude

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