Ratio and Proportion

Ratios can be extended beyond two

Ratios can be extended beyond two quantities to three or more. For example, if ingredients for ladoos are in ratio 1:3:2 (ghee:rawa:sugar), we can rep

Two quantities are in direct proportion

Two quantities are in direct proportion when their ratio remains constant. If x and y are directly proportional, then x/y = k (constant). Example: Dis

Two quantities are in inverse proportion

Two quantities are in inverse proportion when their product remains constant. If x and y are inversely proportional, then x × y = k (constant). Exampl

Five important properties

Five important properties: Invertendo (a/b = c/d ⟹ b/a = d/c), Alternando (a/b = c/d ⟹ a/c = b/d), Componendo (a/b = c/d ⟹ (a+b)/b = (c+d)/d), Dividen

If a/b = c/d

If a/b = c/d, then a/b = (a+c)/(b+d) = c/d. This can be extended to multiple ratios and weighted combinations. If a/b = c/d = k, then (al+cm)/(bl+dm)