Every term is defined twice: once the way a filing would put it, and once the way somebody would explain it to you across a table. The second one is usually the one that sticks.
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The same index basket computed with dividends reinvested, as against the price index, which excludes them.
Over weeks the difference is invisible; over a decade it is two different-looking charts. Any statement that “the index went nowhere” is being made on the series that throws the dividends away.
An index computed from the prices of its constituents alone, with dividends excluded — the series almost every headline index level quoted in India refers to.
The counterpart of the total return index, not another name for it. Comparing a holding that pays out against a price index charges the holding for its own dividends, and the error is the difference in the two payout rates, compounded.