<select id="choosestate">
                          <option value="">Choose a state*</option>
                          <option value="state1">State 1</option>
                          <option value="state1">State 2</option>
                          <option value="state1">State 3</option>
                          <option value="state1">State 4</option>
                        </select>


<div style="margin-top:40px;"><a href="https://webdevpuneet.com">webdevpuneet.com</a></div>

select{
  border: 0;
    border: 1px solid #ccc;
    font-family: inherit;
    -webkit-appearance: none;
    border-radius: 0;
    padding:10px 2rem 10px 1rem;
    font-size: 14px;
    background: url('https://webdevpuneet.com/wp-content/uploads/2019/11/arrow.png') no-repeat     calc(100% - 10px) 15px;
}