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## 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

1. अनुपात (Ratio)
2. अनुपात का व्यावहारिक उपयोग
3. दो या अधिक भागो मे बॉटना
4. किसी भी दिए अनुपात मे किसी राशि को बॉटना
5. समानुपात (Proporation)
6. सत्तत समानुपात (Continued Proporation)
7. व्युक्रमानुपात
8. 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)

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