Server :: OpenSSL - Encrypt Zip File With SSL Keys?

I would like to encrypt and decrypt zip file using OpenSSL keys. I have generated the keys and can encrypt normal text files but if I try to encrypt the zip file, I get error: "Error reading input Data" Following is what I have done.

generate keys:

Code:

openssl genrsa 4096 > private-key.pem
openssl rsa -pubout < private-key.pem
openssl rsa -pubout < private-key.pem > public-key.pem

encrypt the file:

Code:

openssl rsautl -encrypt -pubin -inkey public-key.pem -in test.zip test.zip.encrypted

I must use public/ private key pair (without any password) and I must use OpenSSL. But I can use any algorithm other than RSA (not sure which one to use and how).