MCA Grade 7 Ratios and Proportional Relationships. Practice it free.

The scale factor from $\triangle GHI$ to $\triangle JKL$ is $\dfrac{48}{16} = 3\textsf{.}$ Corresponding sides scale by $3\textsf{,}$ so $JK = 5 \cdot 3 = 15\textsf{.}$

Discount: $\dfrac{15}{100} \times \text{\char36}200 = \text{\char36}30\textsf{.}$ Sale price: $\text{\char36}200 - \text{\char36}30 = \text{\char36}170\textsf{.}$

Convert: $25\% = 0.25$. Then $0.25 \times 70 = 17.5$.

$\dfrac{51}{60} = 0.85 = 85\%$.

Tax: $\dfrac{8}{100} \times \text{\char36}200 = \text{\char36}16\textsf{.}$

Tip: $\dfrac{15}{100} \times \text{\char36}40 = \text{\char36}6\textsf{.}$ Total: $\text{\char36}40 + \text{\char36}6 = \text{\char36}46\textsf{.}$

$I = 100 \times 0.2 \times 1 = \$20$.

Gala tickets sold: $100 \cdot 0.80 = 80$, so revenue is $80 \cdot 40 = 3{,}200\textsf{.}$ Fair tickets sold: $200 \cdot 0.60 = 120$, so revenue is $120 \cdot 15 = 1{,}800\textsf{.}$ The ratio $3{,}200:1{,}800$ simplifies by dividing by $200$ to $16:9\textsf{.}$