gistfile1.txt

.select-style {
    padding: 0;
    margin: 0;
    border: 1px solid #ccc;
    width: 120px;
    border-radius: 3px;
    overflow: hidden;
    background-color: #fff;
  background-size:10px 10px;
    background: #fff url("https://image.flaticon.com/icons/svg/892/892498.svg") no-repeat 40% 50%;
}

.select-style select {
    padding: 5px 8px;
    width: 130%;
    border: none;
    box-shadow: none;
    background-color: transparent;
    background-image: none;
    -webkit-appearance: none;
       -moz-appearance: none;
            appearance: none;
}

.select-style select:focus {
    outline: none;
}


<div class="select-style">
  <select>
    <option value="volvo">Volvo</option>
    <option value="saab">Saab</option>
    <option value="mercedes">Mercedes</option>
    <option value="audi">Audi</option>
  </select>
</div>