MAT 2012 Question Paper

Total sales of brand C in 2011 = 47,000

Difference between volume of sales of brand C in UK and India is given by,

$$\Rightarrow$$ (16% of 47,000) - (9% of 47,000)

$$\Rightarrow$$ 7% of 47,000 = 0.07 x 47,000 = 3290.

Hence, option B is the correct answer.

Volume of sales of brand C in korea = 14% of 47,000 = 6580

To make it 7000 we need to add 420 to it. 

Percentage increase in sales of C phone = $$\frac{420}{47000} \times 100 = 0.9$$(approx)

Hence, option B is the correct answer.

In 2011, global sales of brand C = 47000

In 2012, global sales of brand C = 112% of 47000 = 52640

Total sales in USA in 2011 = 18% of 47000 = 8460

Total sales in USA in 2012 = 134% of 8460 = 11,336.4

Total sales of China in 2011 = 21% of 47000 = 9870

Total sales of China in 2012 = 122% of 9870 = 12041.4

Total sales in rest of the country in 2011,

= 47000 - (8460 + 9870) 

= 47000 - 18330 = 28670

Total sales in rest of the country in 2012,

= 52640 - (11336.4 + 12041.4)

= 52640 - 23377.8 = 29262.2

Percentage increase in the rest of the countries,

= $$\frac{29262.2 - 28670}{28670} \times 100$$

= $$\frac{592.2}{28670} \times 100$$

= 2% (approx)

Hence, option C is the correct answer.

Given, A alone grows in 2012 and draws level with B in global sales. So, sales of A becomes 32.

Combined share of A and B in global share = $$\frac{32 + 32}{32 + 32 + 47 + 54 + 28 + 12} = \frac{64}{205}$$ = 31.2%

Hence, option B is the correct answer.

Given that there is a uniform 33% growth across all brands and countries.

Global sales of all brands in 2012 = 133% of (21 + 32 + 47 + 54 + 28 + 12)

= 133% of 194

= 258.02 x 1000 units 

combined sales volume of phones in india, Japan and Korea taken together in that year,

= (9 + 10 + 14)% of 258.02 x 1000 

= 33% of 258.02

= 85146.6 $$\approx$$ 85124.6

Hence, option C is the correct answer.

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,

= $$\frac{114}{69 + 84 + 114 + 23 + 114 + 96} \times 100$$

= $$\frac{114}{500} \times 100$$

= $$22.8 \approx 23$$%

Hence, option C is the correct answer.

Total quantity of gold exported by India to all six countries = 28

Total quantity of other minerals except gold exported by India to all six countries = 103+149+132+75 = 459

Here, 28 units of other minerals should be added instead of gold to the present 459 units to keep the total exported minerals same.

$$\therefore$$ Percentage increase in the export of rest of the minerals is given by,

$$\frac{28}{459}$$ x 100 = 6 (approx)

Hence, option D is the correct answer.

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.

$$\therefore$$ 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,

= $$\frac{114000 - 98640}{114000} \times 100$$

= $$\frac{15360}{114000} \times 100$$

= $$13.4$$%

Hence, option C is the correct answer.

International demand for coal from India rises by 12%,

$$\Rightarrow$$ 112% of 149 = 166.88

For Iron ore,

$$\Rightarrow$$ 108% of 103 = 111.54

For Copper,

$$\Rightarrow$$ 115% of 75 = 86.25

Total percentage rise in exports from India is given by,

= $$\frac{(111.54 + 166.88 + 132 + 86.25 + 28) - 487}{487} \times 100$$

= $$\frac{524.37 - 487}{487} \times 100$$

= $$\frac{37.37}{487} \times 100$$

= $$7.6$$%

Hence, option D is the correct answer.

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,

= $$\frac{487 - 471.34}{487} \times 100$$

= $$\frac{15.66}{487} \times 100$$

= $$3.2$$%

Hence, option D is the correct answer.