The Table shows the quantities of minerals exported from India to six different countries A,B,C,D,E and F(in '000 tonnes) in the year 2010.
Question: 1
If the second-largest importing country increases its off-take of all the minerals, taken together, from india and is at par with the largest importer, its share of the total exports of minerals from india would be?
Largest importing country is E whose imports = (32 + 29 + 48 + 2 + 3) = 114 units Second largest importing country is C whose imports = (25 + 22 + 26 + 20 + 8) = 101 units Second largest importing country is at par with largest importing country. Its share of the total exports is given by,
\(=69+84+\frac{114}{114+23}+114+96\times100\)
\(=\frac{114}{500}\times100\)
\(=22.8\approx23\%\)
Hence, option C is the correct answer.The correct option is (C): 23%
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Question: 2
If India were to ban the export of gold altogether, by what approximate percentage should the export of the rest of the minerals increase so that the total quantity of minerals exported remains the same?
Total quantity of gold exported by India to all six countries = 28 Here, 28 units of other minerals should be added instead of gold to the present 459 units to keep the total exported minerals same. ∴ Percentage increase in the export of rest of the minerals is given by,
\(=\frac{28}{459}\times100=6\) (approx)
Hence, option D is the correct answer.The correct option is (D): 6
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Question: 3
Eighteen per cent of country E's total requirement of iron ore is being met by imports from India. Next year its total requirement of iron ore is expected to fall by 22% and only 12% of the revised requirement will be imported from India. Assuming all other exports to country E by India remain at the same level, what would be its total percentage drop in quantity exports to E?
From the given question, 18\(\%\) of E's Iron ore requirement = 32000 units E's total Iron ore requirement = 32000 x (100/18) = 177777.78 E's requirement of Iron ore in 2011 = 78\(\%\) of 177777.78 = 138666.6684 Only 12\(\%\) of the revised requirement will be imported from India. ∴ Import of iron ore from India in 2011 = 16640 Total imports of E from India in 2010 = (32 + 29 + 48 + 2 + 3) = 114 x 1000 units Total imports of E from India in 2011 = 16640 + (29 + 48 + 2 + 3) x 1000 = 98640 Required drop in percentage is given by,
\(=\frac{11400098640}{114000}\times100\)
\(=\frac{15360}{114000}\times100\)
\(=13.4\%\)
Hence, option C is the correct answer.The correct option is (C): 13.4
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Question: 4
If international demand for coal from India rises by 12%, that of Iron ore by 8% and copper by 15%, by how much percent will total export from India rise, assuming export of Gold and silver remain at the same level?
International demand for coal from India rises by 12% ⇒ 112% of 149 = 166.88 For Iron ore, ⇒ 108% of 103 = 111.54 For Copper, ⇒ 115% of 75 = 86.25 Total percentage rise in exports from India is given by, \(=\frac{(111.54+166.88++132+86+.25+28)-487}{487}\times100\)
\(=\frac{524.37-487}{487}\times100\)
\(=\frac{37.37}{487}\times100\)
\(=7.6\%\)
Hence, option D is the correct answer.The correct option is (D): 7.6
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Question: 5
If due to rise in prices, voume of exports of Gold decreases by 12% while that of Silver decreases by 14%, but due to global rise in carproduction levels, however, demand for Iron ore increases by 6%, what is the net effect on volume of exports from India
Volume of gold decreases by 12\(\%\), = 88\(\%\) of 28 = 24.64 Volume of silver decreases by 14\(\%\), = 86\(\%\) of 132 = 113.52 Volume of Iron ore increases by 6\(\%\), = 106\(\%\) of 103 = 109.18 New volume = 109.18 + 149 + 113.52 + 75 + 24.64 = 471.34 Percentage decrease is given by,
\(=\frac{487-471.34}{487}\times100\)
\(=\frac{15.66}{487}\times100\)
\(=32\%\)
Hence, option D is the correct answer.The correct option is (D): Decrease of 3.2%
