Question : If the numerator of a fraction is increased by 140% and the denominator of the fraction is decreased by 20%, the resultant fraction is $\frac{12}{7}$. Find the original fraction.

Option 1: $\frac{4}{9}$

Option 2: $\frac{4}{7}$

Option 3: $\frac{7}{6}$

Option 4: $\frac{8}{9}$

Question : A number is first decreased by 20%. The decreased number is then increased by 20%. The resulting number is less than the original number by 20. Then the original number is:

Option 1: 200

Option 2: 400

Option 3: 500

Option 4: 600

Question : If a number is increased by 25% and the resulting number is decreased by 25%, then the percentage increase or decrease finally is:

Option 1: no change

Option 2: decreased by $6\tfrac{1}{4}$%

Option 3: increased by $6\tfrac{1}{4}$%

Option 4: increased by $6$%

Question : If $\left(4y-\frac{4}{y}\right)=11$, find the value of $\left(y^2+\frac{1}{y^2}\right)$.

Option 1: $7 \frac{9}{16}$

Option 2: $5 \frac{9}{16}$

Option 3: $9 \frac{11}{16}$

Option 4: $9 \frac{9}{16}$

Question : If the price of a product is first increased by 15% and then decreased by 20%, then what is the percentage change in the price?

Option 1: 5% decrease

Option 2: 8% increase

Option 3: 5% increase

Option 4: 8% decrease