Hi  malar,
Check this example. Now please take its reference and correct your code.
Database
For this example I have used of Northwind database that you can download using the link given below.
Download Northwind Database
Model
public class CustomerModel
{
    public string Country { get; set; }
    public string City { get; set; }
    public List<Customer> Customers { get; set; }
}
Controller
public class HomeController : Controller
{
    // GET: Home
    public ActionResult Index()
    {
        NorthwindEntities entity = new NorthwindEntities();
        ViewBag.Country = entity.Customers.Select(x => new SelectListItem() { Text = x.Country.ToString(), Value = x.Country.ToString() }).Distinct();
        ViewBag.City = entity.Customers.Select(x => new SelectListItem() { Text = x.City.ToString(), Value = x.City.ToString() }).Distinct();
        CustomerModel model = new CustomerModel();
        model.Customers = entity.Customers.Take(100).ToList();
        return View(model);
    }
}
View
@model _795634_Filter_Paging_DropDownList_MVC.Models.CustomerModel
@{
    Layout = null;
}
<!DOCTYPE html>
<html>
<head>
    <meta name="viewport" content="width=device-width" />
    <title>Index</title>
    <link rel="stylesheet" href="https://maxcdn.bootstrapcdn.com/bootstrap/3.3.2/css/bootstrap.min.css" />
    <script type="text/javascript" src="https://ajax.googleapis.com/ajax/libs/jquery/1.9.1/jquery.min.js"></script>
    <script type="text/javascript" src="https://maxcdn.bootstrapcdn.com/bootstrap/3.3.2/js/bootstrap.min.js"></script>
    <script type="text/javascript">
        function Filter() {
            var ledger = $("#drpSearchLedgerCode option:selected").text();
            var source = $("#drpSearchSource option:selected").text();
            if (ledger == 'Select Country' && source == 'Select City') {
                $('#tblBranPlantMatrixDetails tbody tr').show();
            } else {
                $('#tblBranPlantMatrixDetails tbody tr:has(td)').each(function () {
                    var rowledger = $.trim($(this).find('td:eq(2)').text());
                    var rowsource = $.trim($(this).find('td:eq(3)').text());
                    if (ledger != 'Select Country' && source != 'Select City') {
                        if (rowledger == ledger && rowsource == source) {
                            $(this).show();
                        } else {
                            $(this).hide();
                        }
                    }
                    else if (ledger != 'Select Country' && source != 'Select City') {
                        if (rowledger == ledger && rowsource == source) {
                            $(this).show();
                        } else {
                            $(this).hide();
                        }
                    }
                    else if (ledger != 'Select Country') {
                        if (rowledger == ledger) {
                            $(this).show();
                        } else {
                            $(this).hide();
                        }
                    }
                    else if (source != 'Select City') {
                        if (rowsource == source) {
                            $(this).show();
                        }
                        else {
                            $(this).hide();
                        }
                    }
                });
            }
        }
        function execute() {
            Filter();
            pagination();
        }
        $(document).ready(function () {
            var rowsShown = 8;
            var rowsTotal = $('#tblBranPlantMatrixDetails tbody tr').length;
            var numPages = rowsTotal / rowsShown;
            for (i = 0; i < numPages; i++) {
                var pageNum = i + 1;
                $('#nav').append('<a href="#" rel="' + i + '">' + pageNum + '</a> ');
            }
            $('#tblBranPlantMatrixDetails tbody tr').hide();
            $('#tblBranPlantMatrixDetails tbody tr').slice(0, rowsShown).show();
            $('#nav a:first').addClass('active');
            $('#nav a').bind('click', function () {
                $('#nav a').removeClass('active');
                $(this).addClass('active');
                var currPage = $(this).attr('rel');
                var startItem = currPage * rowsShown;
                var endItem = startItem + rowsShown;
                $('#tblBranPlantMatrixDetails tbody tr').css('opacity', '0.0').hide().slice(startItem, endItem).
                    css('display', 'table-row').animate({ opacity: 1 }, 300);
            });
        });
        function pagination() {
            var rowsShown = 8;
            var rowsTotal = $('#tblBranPlantMatrixDetails tr:visible').length - 1;
            var numPages = rowsTotal / rowsShown;
            if (numPages == 0) {
                $('#nav').remove();
            }
            else {
                if ($('#nav').length > 0) {
                    $("#nav a").remove();
                }
                else {
                    $('#tblBranPlantMatrixDetails').after('<div id="nav"></div>');
                }
            }
            for (i = 0; i < numPages; i++) {
                var pageNum = i + 1;
                $('#nav').append('<a href="#" rel="' + i + '">' + pageNum + '</a> ');
            }
            $("#tblBranPlantMatrixDetails > tbody > tr:visible").hide().slice(0, rowsShown).animate({ opacity: 1 }, 300).show();
            $('#nav a:first').addClass('active');
            $('#nav a').bind('click', function () {
                $('#nav a').removeClass('active');
                $(this).addClass('active');
                var currPage = $(this).attr('rel');
                var startItem = currPage * rowsShown;
                var endItem = startItem + rowsShown;
                Filter();
                $('#tblBranPlantMatrixDetails tbody tr:visible').css('opacity', '0.0').hide().slice(startItem, endItem).
                    css('display', 'table-row').animate({ opacity: 1 }, 300);
            });
        }
    </script>
</head>
<body class="container">
    <table class="table table-striped table-bordered table-hover">
        <tr>
            <td><label>Country:</label></td>
            <td><label>City:</label></td>
        </tr>
        <tr>
            <td>@Html.DropDownListFor(a => a.Country, new SelectList(ViewBag.Country, "Value", "Text"), "Select Country", new { @style = "font-size: 12px;", @class = "form-control", @id = "drpSearchLedgerCode" })</td>
            <td>@Html.DropDownListFor(a => a.City, new SelectList(ViewBag.City, "Value", "Text"), "Select City", new { @style = "font-size: 12px;", @class = "form-control", @id = "drpSearchSource" })</td>
        </tr>
        <tr><td></td></tr>
        <tr>
            <td></td>
            <td>
                <button type="button" class="btn btn-primary" id="btnSearch" onclick="execute()">Filter</button>
                <button type="button" class="btn btn-default" id="btnClear">Clear</button>
            </td>
        </tr>
    </table>
    <table class="table table-striped table-bordered table-hover" id="tblBranPlantMatrixDetails">
        <thead>
            <tr>
                <th>ID</th>
                <th>Name</th>
                <th>Country</th>
                <th>City</th>
                <th></th>
            </tr>
        </thead>
        <tbody>
            @foreach (var item in Model.Customers)
            {
                <tr style="height:5px;">
                    <td><span>@item.CustomerID</span></td>
                    <td><span>@item.ContactName</span></td>
                    <td><span>@item.Country</span></td>
                    <td><span>@item.City</span></td>
                    <td>
                        <button type="button" class="btn btn-primary" data-toggle="modal">EDIT</button>
                    </td>
                </tr>
            }
        </tbody>
    </table>
    <div id="nav"></div>
</body>
</html>
Screenshot
