The simple interest (SI) earned on an investment of ₹19,000 for 2 years at a rate of p% per annum is ₹211.2 more than the compound interest (CI) earned on an investment of ₹17,000 for 2 years at the same rate, compounded annually.

Radhika invested ₹a at a compound interest rate of (p+12)% per annum and simultaneously borrowed ₹(a+500) at a simple interest rate of 2p% per annum. After 2 years, Radhika gained a total of ₹2,360.

Find the value of a, given that p is an integer.