Ratio And Proportion Formulas PDF
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Topics Include In Ratio And Proportion ( अनुपात समानुपात) Formulas PDF Download
Ratio and Proportion PDF अनुपात समानुपात
- अनुपात (Ratio)
- अनुपात का व्यावहारिक उपयोग
- दो या अधिक भागो मे बॉटना
- किसी भी दिए अनुपात मे किसी राशि को बॉटना
- समानुपात (Proporation)
- सत्तत समानुपात (Continued Proporation)
- तथा बहुत कुछ।
Properties of Ratio Formula
A ratio remains the same if both antecedent and consequent are multiplied or divided by the same non-zero number,
a/b = pa/pb = qa/qb , p, q ≠0
a/b = (a/p) / (b/p) = (a/q) / (b/q) , p, q ≠0
Two ratios in their fraction notation can be compared just as we compare real numbers.a/b = p/q ⟺ aq = bp
a/b > p/q ⟺ aq > bp
a/b < p/q ⟺ aq < bp
If two ratios a/b and c/d are equal
a/b = c/d ⟹ b/a = d/c (Invertendo)
a/b = c/d ⟹ a/c = b/d (Alternendo)
a/b = c/d ⟹ (a+b)/b = (c+d)/d (Component)
a/b = c/d ⟹ (a-b)/b = (c-d)/d (Dividend)