Inherit CSS class

I have one base .base{} in my CSS file with couple properties. I want to change only color and other properties to stay same. How to inherit this base class inother classes ?

CSS "classes" are not OOP "classes". The inheritance works the other way around.
A DOM element can have many classes, either directly or inherited or otherwise associated, which will all be applied in order, overriding earlier defined properties:

<div class="foo bar">

.foo {
    color: blue;
    width: 200px;
}

.bar {
    color: red;
}

The div will be 200px wide and have the color red.

You override properties of DOM elements with different classes, not properties of CSS classes. CSS "classes" are rulesets, the same way ids or tags can be used as rulesets.

Note that the order in which the classes are applied depends on the precedence and specificity of the selector, which is a complex enough topic in itself.

As others have already mentioned, there is no concept of OOP inheritance in CSS. But, i have always used a work around for this.

Let's say i have two buttons, and except the background image URL, all other attributes are common. This is how i did it.

/*button specific attributes*/
.button1 {
    background-image: url("../Images/button1.gif");
}
/*button specific attributes*/
.button2 {
    background-image: url("../Images/button2.gif");
}

/*These are the shared attributes */
.button1, .button2 {
    cursor: pointer;
    background-repeat: no-repeat;
    width: 25px;
    height: 20px;
    border: 0;
}

Hope this helps somebody.