Proportional Reasoning-1
CBSE · Class 8 · Mathematics
All formulas from Proportional Reasoning-1 in CBSE Class 8 Mathematics. Key equations, constants, and identities for board exam preparation.
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Formulas
Similarity and Proportionality
60 : 40
30 : 20
90 : 60
a : b :: c : d
Finding Simplest Form
Divide both terms by HCF
60 ÷ 20 : 40 ÷ 20 = 3 : 2
90 ÷ 30 : 60 ÷ 30 = 3 : 2
Proportional Reasoning and Cross Multiplication
c = fa
d = fb
f = c/a and f = d/b
c/a = d/b
bc = ad or ad = bc
Rule of Three and Āryabhaṭa
pramāṇa × ichchhāphala = phala × ichchhā
Multiply the phala by the ichchhā and divide the resulting product by the pramāṇa.
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Sources & Official References
- NCERT Official — ncert.nic.in
- CBSE Academic — cbseacademic.nic.in
- CBSE Official — cbse.gov.in
- National Education Policy 2020 — education.gov.in
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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