Percent problems

1003082201

Level: 
B
The price of the commodity did not change if
it was lowered by \( 20\% \), and the new price was increased by \( 25\% \).
it was lowered by \( 10\% \), and the new price was increased by \( 10\% \).
it was increased by \( 30\% \), and the new price was lowered by \( 30\% \).
it was increased by \( 20\% \), and the new price was lowered by \( 25\% \).

1003082206

Level: 
B
The price of the book was increased by \( 4.5 \) złotys which is \( 15\% \) of the initial price. Then it was increased by another \( 1.5 \) złotys. By how many percent did the overall price of the book increase?
by \( 20\% \)
by \( 6 \) złotys
by \( 25\% \)
by \( 16\% \)

1003082207

Level: 
B
The angle \( \beta \) is by \( 25\% \) less than the angle \( \gamma \) and by \( 50\% \) greater than the angle \( \alpha \). The angle \( \gamma \) is
by \( 100\% \) greater than \( \alpha \).
by \( 50\% \) greater than \( \alpha \).
by \( 75\% \) greater than \( \alpha \).
by \( 25\% \) greater than \( \alpha \).

1003082209

Level: 
B
Two circles are given. The radius of the first circle is by \( 30\% \) longer than the radius of the other circle. It means that the area of the first circle is bigger than the area of the second one
by more than \( 60\% \).
by less than \( 50\% \), but more than \( 40\% \).
by less than \( 60\% \), but more than \( 50\% \).
by exactly \( 60\% \).