Question : If the price of a movie ticket increased by $12 \frac{1}{2} \%$ and the sale of tickets also increased by $8 \frac{1}{2} \%$, then find the percentage change in income.

Option 1: 21.875%

Option 2: 22.6750%

Option 3: 20.675%

Option 4: 22.0625%

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

Question : Find the value of the given expression:
$\frac{(4\frac{1}{3}+3\frac{1}{3}\times 1\frac{4}{5}\div 3\frac{3}{4}\times (1\frac{1}{2}+1\frac{1}{3}))}{(\frac{2}{3}\div \frac{5}{6}\times \frac{2}{3})}$

Option 1: $11 \frac{3}{8}$

Option 2: $10\frac{1}{8}$

Option 3: $14\frac{3}{8}$

Option 4: $16\frac{5}{8}$

Question : Simplify the expression:
$\frac{1}{8}\left[\frac{1}{b-1}-\frac{1}{b+1}-\frac{2}{b^2+1}-\frac{4}{b^4+1}\right]$

Option 1: $\frac{1}{b^8-1}$

Option 2: $\frac{8}{b^8+1}$

Option 3: $\frac{8}{b^8-1}$

Option 4: $\frac{1}{b^8+1}$

Question : Find the value of the given expression.
$\left(2 \frac{1}{2}÷ 1 \frac{7}{8}\right) ÷\left(9 \frac{3}{8}÷ 11 \frac{2}{3} \text { of } \frac{1}{8}\right)$

Option 1: $\frac{33}{135}$

Option 2: $\frac{11}{135}$

Option 3: $\frac{28}{135}$

Option 4: $\frac{57}{135}$

Question : The marked price of a saree is Rs. 200. After allowing a discount of 20% on the marked price, the shopkeeper makes a profit of Rs.16. Find the gain percentage:

Option 1: $11\frac{1}{9}$%

Option 2: $9\frac{1}{11}$%

Option 3: $11$%

Option 4: $8$%