* Spent 32 mln rand on diesel generators

* Posts almost 40% jump in annual profit

* Shares down more than 12% since listing

JOHANNESBURG, June 6 (Reuters) - South Africa's Premier Group on Tuesday posted a jump in annual profits, saying it managed to pass on the costs of the country's worst rolling blackouts, but a possible increase in power outages could leave it struggling to meet customer demand.

For the year ended March 31, the maker of Blue Ribbon bread and Snowflake flour, which listed on the local bourse in March, posted a near 40% rise in profit.

It also said it had spent around 32 million rand on diesel generators, which Premier Group CEO Kobus Gertenbach told Reuters was on top of many years of investment.

"Our general ability in terms of being able to run generators to operate bakeries is actually not cost prohibitive in relation to the category, so the amount of cost that it adds is a couple of cents a loaf and you can pretty much quite easily recover it in the market," he added.

He said, however, around 10% of total flour milling production was lost during the period because of the power cuts.

Competitor Tiger Brands, the touchstone of the fast-moving consumer goods industry, said last week in its six months interim results that power cuts cost it 37 million rand in the grains sector alone.

South African businesses and households are being left without power for up to 10 hours daily.

"In my view, level eight would start to impact our ability to continue to produce enough product to service our market," Gertenbach added.

State utility Eskom so far has not gone beyond "Stage 6" power cuts, which require 6,000 megawatts to be shed from the national grid, but has said it may have to move to "Stage 8", which would require up to 8,000 megawatts to be shed, translating to 16 hours of outages in a 32-hour cycle.

Since listing in March, Premier Group has lost over 12% of its value. It last traded at 5,251 cents per share, down over 4.5% to the day. ($1 = 19.2217 rand) (Reporting by Tannur Anders; Editing by Jacqueline Wong, Bhargav Acharya and Barbara Lewis)