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I was doing a problem and I got its interest rate wrong.

problem: An item when sold at 212.5, interest got is 12.5 . So what is the interest percentage?

My solution:

s.p=212.5 , interest=12.5

s.p=100 , interest= 12.5/212.5 *100 = 5.88%

Book solution:

c.p=212.5 - 12.5 = 200

c.p=200 , interest= 12.5

c.p=100 , interest= 12.5/200 * 100 = 6.25%

What is it on percentage, that my understanding is wrong.