Is this mistake in answer book?

Hi!
Question explanation in answer page has 3 steps in explaining, but I got lost in third step which I think it’s printing error?
Can you confirm?
So:
A company has recorded the following variances for a period: Sales volume variance Sales price variance Total cost variance $10,000 adverse $5,000 favourable $12,000 adverse Standard profit on actual sales for the period was $120,000. What was the fixed budget profit for the period?

Answer:
Sales volume variance:
(budgeted sales units – actual sales units) * standard profit per unit =
10,000 adverse

Standard profit on actual sales: (actual sales units * std profit per unit) = $120,000

Fixed budget profit: (120,000 +10,000) = $130,000

My question is WHY 10000 are added to 120000 if 10000 are adverse,- so I thought 120000-10000 and profit should be 110000 not 130000
Please help 🙁