From the Super Mario Wiki, the Mario encyclopedia
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A Kremkoin is a large golden coin that is rewarded for completing a Bonus Area in Donkey Kong Country 2: Diddy's Kong Quest and Donkey Kong Land 2. Kremkoins are required collectibles in both games, and are currency that Diddy and Dixie Kong use to bribe Klubba into accessing the Lost World. Kremkoins were replaced with Bonus Coins in the respective games' sequels, Donkey Kong Country 3: Dixie Kong's Double Trouble! and Donkey Kong Land III.
There are usually two or three Kremkoins to collect in every level, depending on the number of Bonus Areas in that level. A Kremkoin is also rewarded for defeating a world boss the first time. When a Kremkoin is obtained, its counter briefly appears on screen and increments by a number, to indicate that it has been obtained. If Diddy Kong and Dixie Kong redo a previously-completed Bonus Area or boss fight, the Kremkoin has a white check mark on it and does not add to the total.
In Donkey Kong Country 2, there are 75 Kremkoins in total. The Kongs must pay 15 of them to Klubba at each of his kiosks for him to allow them to enter a specific Lost World level from within that world. Every Lost World level has one Bonus Area, and they reward a DK Coin at the end rather than a Kremkoin. Likewise, the Kongs are rewarded a DK Coin for completing Krocodile Kore.
In Donkey Kong Land 2, there are fewer Kremkoins to obtain, with there being 47 in total. Instead of paying for access to individual levels, the Kongs must make a one-time payment of all 47 Kremkoins at Klubba's Kiosk to enter the Lost World in its entirety.
Donkey Kong Country 2: Diddy's Kong Quest