1. Compare the numbers. It is known that $2 \%$ of a positive number $A$ is greater than $3 \%$ of a positive number $B$. Is it true that $5 \%$ of number $A$ is greater than $7 \%$ of number $B ?$
1. Since $2 \%$ of number $A$ is greater than $3 \%$ of number $B$, then $4 \%$ of number $A$ is greater than $6 \%$ of number $B$, and moreover, $1 \%$ of number $A$ is greater than $1 \%$ of number $B$. "Adding" the last two statements, we get that $5 \%$ of number $A$ is greater than $7 \%$ of number $B$. Or: $0.02 A > 0.03 B$, from which $0.05 A > 0.075 B > 0.07 B$.