Ok, so what's going on is when you interact with the first menu, the appearance from the second menu is changed. What you're going to need to do is set up different functions for each instance where you want this tab-browser to function.
CSS
.show{}
<!-- Remove styling from show. It is just used strictly for jQuery selectors. -->
HTML
<div class="tabs first">
<ul class="tabheader">
<li class="active" ><a href="#fragment-1"><span>FAQs</span></a></li>
<li><a href="#fragment-2"><span>Credit bundle</span></a></li>
<li><a href="#fragment-3"><span>Delivery & turnaround times</span></a></li>
<li><a href="#fragment-4"><span>Testimonials</span></a></li>
</ul>
<div class="clearfix"></div>
<div id="fragment-1" class="tabed_contents current">adasdasd</div>
<div id="fragment-2" class="tabed_contents">adasdasd</div>
<div id="fragment-3" class="tabed_contents">adasdasd</div>
<div id="fragment-4" class="tabed_contents">adasdasd</div>
</div>
<div class="tabs second">
<ul class="tabheader">
<li class="active"><a href="#fragment-8"><span>Ask a question</span></a></li>
<li><a href="#fragment-9"><span>Live chat support</span></a></li>
</ul>
<div class="clearfix"></div>
<div id="fragment-8" class="ask_ques tabed_contents show">
<p>Let our support team answer your questions...</p>
<form class="ask_frm">
<div class="row">
<label>Name: </label>
<input type="text" name="name2">
</div>
<div class="row">
<label>Email: </label>
<input type="text" name="emaild2">
</div>
<div class="row">
<label>Questions: </label>
<textarea></textarea>
</div>
<div class="row">
<button class="btn blue small">Send</button>
</div>
</form>
</div>
<div id="fragment-9" class="liv_c tabed_contents">
<div class="row">
<span class="live_chats"></span>
<a href="">Chat with our customer support</a>
</div>
</div>
</div>
jQuery
$('.tabs-first > ul.tabheader > li > a').on('click', function(event) {
event.preventDefault();
$('.tabed_contents').hide();
var href = $(this).attr('href');
$(href).show();
$('.tabs > ul.tabheader > li').removeClass('active');
$(this).closest('.tabed_contents').removeClass('show');
$(this).closest('li').addClass('active');
})
$('.tabs-second > ul.tabheader > li > a').on('click', function(event) {
event.preventDefault();
$('.tabed_contents').hide();
var href = $(this).attr('href');
$(href).show();
$('.tabs > ul.tabheader > li').removeClass('active');
$(this).closest('.tabed_contents').removeClass('show');
$(this).closest('li').addClass('active');
})
I'm sure there's a much prettier way to do this using sibling selectors, but this will work just the same.