At 0800 GMT the rand was 0.2pc weaker at 14.7700 per dollar compared with a overnight close of 14.8400 overnight in New York.
Ramaphosa announced his smaller cabinet late on Wednesday, following on from a pre-election pledge to reform and revive an ailing economy and attract foreign investors.
The cabinet was well received by markets, helping the currency pullback from 5-month lows before the announcement.
Statistics S.A. publishes first quarter gross domestic product figures on Tuesday, with increasing chance growth contracted in the quarter following slumps in mining and manufacturing.
The central bank last its 2019, economic growth forecast to 1.0pc from the 1.3pc forecast March, and said a first quarter GDP contraction was likely.
Bonds weakened, with the yield on the benchmark 10-year government bond up 1 basis point to 8.495pc.
Stocks slipped in early trade, with the Johannesburg Stock Exchange's Top-40 down 0.64pc and the broader All-Share index 0.57pc lower.
Budget retailer Mr Price reported a 6.2pc rise in full-year earnings on Friday, as its apparel and homeware businesses gained market share. It shares jumped 7.33pc to 190.64 rand.