You are a genius!! I have figured it out finally and resolved the issue after long time. Got a better understanding on the Chart. You are realyy helpful Thanks a lot!! My code below

                 $strExcelFilename = "D:/PERL/" . "DEVICE-BROWSER-REPO
+RT" . ".xlsx";
                        
        #$workbook1 = Spreadsheet::WriteExcel->new($strExcelFilename);
        $workbook1 = Excel::Writer::XLSX->new($strExcelFilename);
        #$worksheet1 = $workbook1->addworksheet("DEVICE-BROWSER-LIST")
+;
        $worksheet1 = $workbook1->add_worksheet('Data');
        #$worksheet2 = $workbook1->add_worksheet('Summary');
        $row1= 1;
        
        #$chart = $workbook1->add_chart( type => 'column', embedded =>
+ 1 );
            
            foreach $worksheet1 ($workbook1->sheets()) {
         if( $worksheet1->get_name() eq $SUCCESS_COUNT_SHEET_NAME ) {
              $format = $workbook1->add_format(%header);
           $worksheet1->write(0,0, "User Id", $format);
           $worksheet1->write(0,1, "User Display Name", $format);
           $worksheet1->write(0,2, "User Email Id", $format);
           $worksheet1->write(0,3, "Device", $format);
           $worksheet1->write(0,4, "Browser", $format);
           $worksheet1->write(0,5,"Application Name", $format);
           $worksheet1->write(0,6,"TimeStamp", $format);
           #$worksheet1->write(0,7, "EMAIL--ITUSER-STATUS", $format);
      }
      }
      for ($k = 0; $k <= $#responseid; $k++)  {
    
         
        $worksheet1->write($row1,0, $responseid[$k]);
        $worksheet1->write($row1,1, $responsdisp[$k]);
        $worksheet1->write($row1,2, $responsalter[$k]);
        $worksheet1->write($row1,3, $responseclientdevice[$k]);
        $worksheet1->write($row1,4, $responseclientbrowser[$k]);
        $worksheet1->write($row1,5, $responseapps5[$k]);
        $worksheet1->write($row1,6, $estdate[$k]);
        $app = $responseapps5[$k];
        $device = $responseclientdevice[$k];
        $browser = $responseclientbrowser[$k];
        $userid = $responseid[$k];
        
        ++$pivot{$app}{$device};
        ++$pivot{$app}{$browser};
        ++$categ{'device'}{$device};
        ++$categ{'browser'}{$browser}; 
        ++$app{$app};
    
    $row1++;
    #print Dumper $app;
    
    }
    
    $worksheet2 = $workbook1->add_worksheet('Summary');
my @device  = sort keys %{$categ{'device'}};
my @browser = sort keys %{$categ{'browser'}};
my @applist = sort keys %app;
#print Dumper @applist;
$worksheet2->write_row(0,1,\@applist);
$row1 = 1;
for my $categ (@device,@browser){
  my $col = 0;
  $worksheet2->write($row1,$col++,$categ);
  for my $app (@applist){
    $worksheet2->write($row1,$col++,$pivot{$app}{$categ});
  }
  ++$row1
}

my $chart = $workbook1->add_chart( type => 'column', embedded => 1  );
my $col = 'B';
for my $app (sort keys %app){
  $chart->add_series(
    name       => $app,    
    categories => '=Summary!$A2:$A'.$row1,
    values     => '=Summary!$'.$col.'$2:$'.$col.$row1,
  );
  ++$col;
}

$chart->set_title ( name => 'Results of sample analysis' );
$chart->set_x_axis( name => 'Device/Browser' );
$chart->set_y_axis( name => 'User Count'  );
$worksheet2->insert_chart( 'A'.($row1+2), $chart,  0,  0 );
    $workbook1->close();
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