The worksheet progresses to intricate topics like continued ratios (e.g., combining cattle:goats = 4:3 and cattle:hens = 2:7 into 4:3:14) and profit-sharing with variable investments/time periods. Students tackle multi-step problems: calculating investment returns when partners contribute different amounts for varying durations (e.g., Kumudu’s Rs. 20,000 for 12 months vs. Sumudu’s Rs. 30,000 for 10 months → 4:5 profit ratio) and determining component fractions in mixtures (e.g., flour:sugar:coconut = 20:15:9). These exercises hone algebraic reasoning by requiring LCM-based ratio alignment and reinforce financial literacy through business simulations. The inclusion of word problems across diverse contexts—agriculture (fertilizer blends), demographics (village population ratios), and economics (joint ventures)—ensures students can flexibly apply ratios to interdisciplinary challenges, preparing them for algebra and real-world decision-making.
Key Skills Mastered:
Simplifying/comparing ratios
Converting ratios to fractions
Solving proportional equations
Dividing quantities in given ratios
Calculating continued ratios
Profit-sharing with investment × time
Real-world problem-solving
