Study Guide · Chapter 10
2.9 Quick Reference Formula Sheet
Free study material · concepts, shortcuts & solved questions
Select any text to highlight or save it
For last-minute revision, here is every formula from this chapter in one place:
| Situation | Formula |
|---|---|
| Two-ingredient alligation | Q_1:Q_2 = (C_2-M):(M-C_1) |
| Mean price, n ingredients (quantities known) | M = (Q_iC_i)/(Q_i) |
| Repeated replacement with water, n times | Liquid left = P(1-(x)/(P))^n |
| Fraction of solution replaced (concentration form) | f = (a-c)/(a-b), where a→ b mixed to give c |
| Mean CP from SP and profit% | Mean CP = (SP)/(1+Profit%/100) |
| Mean CP from SP and loss% | Mean CP = (SP)/(1-Loss%/100) |
| Alligation on averages (marks/salary/etc.) | n_1:n_2 = (m_2- m):( m-m_1) |
| Average speed, equal time | Arithmetic mean via alligation, t_1:t_2=(s_2- s):( s-s_1) |
| Average speed, equal distance | Harmonic mean, s = (2s_1s_2)/(s_1+s_2) |
Keep this table handy during your final revision pass before the exam — nearly every question in Sections 5 and 6 below maps to exactly one row of this table.
Page 1 of 1