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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 $1/5$th of the exports? 1. $2005$
2. $2004$
3. $2007$
4. $2006$

$\left ( \frac{1}{5} \right )^{th}$ 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.

by

in 2006 "Difference btw  "Import - export =20 "   and same year Export 100 so 1/5*100 =20
(15)th(15)th excess of the exports means
(1+15)×(1+15)× Export = Import
How do u got that ?
"the trade deficit 1/5th of the exports"

- that means value of export should be more.

Isnot it?

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.

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

2003 : trade deficit = 70-60=10

(export)*(1/5) = 60/5=12

10!=12 it's not the year

2004 : trade deficit = 80-70=10

(export)*(1/5) = 70/5=14

10!=14.  it's not the year

2005 : trade deficit = 90-70=20

(export)*(1/5) = 70/5=14

10!=14   it's not the year

2006 : trade deficit = 120-100=20

(export)*(1/5) = 100/5=20

20 = 20   it's the YEAR

2007 : trade deficit = 120-110=10

(export)*(1/5) = 110/5=22

10!=22    it's not the year

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

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

I go with Option D 2006

and u got the answer by random guessing ???
random bhi guessing bhi :P

no offence