GATE ECE 2014 Set 1 | GA | Question: 9

Question

The exports and imports (in crores of $Rs$.) of a country from $2000$ to $2007$ are given in the following bar chart. If the trade deficit is defined as excess of imports over exports, in which year is the trade deficit $\frac{1}{5}$th of the exports?

• A. $2005$
• B. $2004$
• C. $2007$
• D. $2006$

Comments

UPDATE image

Answer 1

$ \left ( \frac{1}{5} \right )^{th} $ excess of the exports means
$( 1 + \frac{1}{5}) \times$ Export = Import

1. Option $A$
$( 1 + \frac{1}{5}) \times 70 = 84 \neq$ Import

2. Option $B$
$( 1 + \frac{1}{5}) \times 70 = 84 \neq$ Import

3. Option $C$
$( 1 + \frac{1}{5}) \times 110 = 132 \neq$ Import

4. Option $D$
$( 1 + \frac{1}{5}) \times 100 = 120$ = Import

So, answers is option D.

Comments

in 2006 "Difference btw  "Import - export =20 "   and same year Export 100 so 1/5*100 =20

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(15)th(15)th excess of the exports means
(1+15)×(1+15)× Export = Import
How do u got that ?

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"the trade deficit 1/5th of the exports"

- that means value of export should be more.

Isnot it?

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that means value of export should be more.

 @srestha No, it is not.

 

Trade deficit = Imports – Exports

(1/5 Exports) = Imports – Exports

(1+1/5) Exports = Imports

6 / 5   = Imports / Exports

Here Numerator is greater than denominator. So, Imports have to be greater than exports.

 

Answer 2

trade deficit = excess of imports over exports

trade deficit = import - export 

if trade deficit = (export)*(1/5) , we got the year

2000,2001,2002 can't be answer, bcz import < export

now check 2003 onwards

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2003 : trade deficit = 70-60=10 

         (export)*(1/5) = 60/5=12

        10!=12 it's not the year

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2004 : trade deficit = 80-70=10 

         (export)*(1/5) = 70/5=14

        10!=14.  it's not the year

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2005 : trade deficit = 90-70=20 

         (export)*(1/5) = 70/5=14

        10!=14   it's not the year

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2006 : trade deficit = 120-100=20

         (export)*(1/5) = 100/5=20

        20 = 20   it's the YEAR

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2007 : trade deficit = 120-110=10 

         (export)*(1/5) = 110/5=22

        10!=22    it's not the year

          

So, Answer D

Answer 3

Formula according to question -->   (Import - Export)/Export

now we have to have solve for 1/5 which matches in 2006

Answer 4

trade deficits means( import- export)  it is incase of 2006 =20

and export of 2006 =100 and 1/5 of 100 = 20 both are equal so ans is D.

Answer 5

Given trade deficit, $T_{d} = imports - exports $

Also given trade deficit,  $T_{d} = \frac{1}{5} * exports$

Solving above equations we will get, $imports = \frac{6}{5} * exports$

So check for the years given in options whether above equation satisfies.

Only (D) satisfies.

Answer 6

In graph, exports bar is not shown for the year 2006