Fill in the blanks to make the statement true:
If A is increased by $$20\%$$, it equals B. If B is decreased by $$50\%$$, it equals C. Then ..............$$\%$$ of A is equal to C.
According to question,
$$A + \dfrac{20}{100} \times A = B$$ and $$B - \dfrac{50}{100} \times B = C$$
$$\Rightarrow A\left ( 1 + \dfrac{1}{5} \right ) = B$$ and $$B \left ( 1 - \dfrac{1}{2} \right ) = C$$
$$\Rightarrow \dfrac{6}{5}A = B$$ and $$\dfrac{1}{2} B = C$$
$$\Rightarrow B = 2C$$
$$\therefore \dfrac{6}{5}A = 2C$$
$$\Rightarrow C = \dfrac{6}{10}A = \left ( \dfrac{6 \times 10}{10 \times 10} \right ) A$$
$$\Rightarrow C = \left(\dfrac{60}{100} \right ) \times A$$
$$= 60\%$$ of A
So, $$C$$ is equal to $$60\%$$ of $$A.$$