Petya is playing a shooting game. If he scores less than 1000 points, the computer will add $20 \%$ of his score. If he scores from 1000 to 2000 points, the computer will add $20 \%$ of the first thousand points and $30 \%$ of the remaining points. If Petya scores more than 2000 points, the computer will add $20 \%$ of the first thousand points, $30 \%$ of the second thousand, and $50 \%$ of the remaining points. How many bonus points did Petya receive if he had 2370 points at the end of the game?

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Clearly, Petya scored more than 1000 points (otherwise his result would not exceed 1200) and less than 2000 (otherwise the result would not be less than 2500). Let's discard 1200 points (the first thousand plus the prize for it). The remaining 1170 points constitute $130\%$ of the points Petya scored in the second thousand. $\frac{3}{13}$ of this amount, that is, 270 points - is the prize. And the total number of prize points is $200+270=470$.

## Problem