How to mute Whatsapp messages

There are two sound alerts you get on whatsapp one for each conversation and another one for new message.

If you are using android phone then

>To disable conversational tones,
Go to settings > Notifications, uncheck on Conversational tones 

>To disable new message notification tone,
Under Message notification, click on Notification tone,
 Select None 

>Select other setting under Message notification as below
Vibrate: Off
Popup Notification: No Popup