JSFiddle - React, Tailwind, and code Playground

HTML

<textarea id="x">
[
     {
      "name": "rinki",
      "birthday": "11/30/1975"
    }, {
      "name": "sonya",
      "birthday": "11/24/1991"
    }, {
      "name": "aman",
      "birthday": "11/25/1946"
    }
]
</textarea>

JavaScript

var datax = $("#x").val();
var e = JSON.parse(datax);

function compare(a,b) {
  var da = a.birthday.split("/");
  da = new Date(da[2], da[0]-1, da[1]);
  var db = b.birthday.split("/");
  db = new Date(db[2], db[0]-1, db[1]);
  if (da < db)
     return -1;
  if (da > db)
    return 1;
  return 0;
}

e.sort(compare);
console.log(JSON.stringify(e));

/*
final result ***************************888
[
 {
 "name": "sonya",
      "birthday": "11/24/1931"
    }, {
      "name": "aman",
      "birthday": "11/25/1946"
    },     {
      "name": "rinki",
      "birthday": "11/30/1975"
    }    
]
*/