Schol D.․․

Vasya deposited a certain amount in rubles in the bank at $20 \%$ annual interest. Petya took another amount in rubles, converted it to dollars, and deposited it in the bank at $10 \%$ annual interest. Over the year, the price of one dollar in rubles increased by $9.5 \%$. When Petya converted his deposit back to rubles after a year, it turned out that Vasya and Petya had the same profit over the year. Who initially had a larger amount - Vasya or Petya?
Just due to the increase in the dollar exchange rate, Petya received a 9.5% profit. In addition, he received a $10 \%$ profit from the bank and $10 \cdot 0.095=0.95 \%$ profit from converting this profit into rubles. In total, he received $20.45 \%$ more profit than the $20 \%$ that Vasya received. Therefore, Vasya's initial capital was larger.

## Answer

Vasya's.