Sniper Mode: Comparison

1. Basics

• Rule of N: If A:B = 2:3 and B:C = 4:5.
  • Multiply pattern (N shape): A:B:C = (2x4) : (3x4) : (3x5) = 8:12:15.
• Types:
  • Duplicate Ratio: a^2 : b^2.
  • Mean Proportion: √(ab).
  • Third Proportion: b^2/a.
  • Fourth Proportion: (b*c)/a.

2. Problem Types

• Coin Problems:
  • Bag has 1rs, 50p, 25p coins in 2:3:4 ratio. Total value = 180rs.
  • Sniper Trick: Convert ratio to value. (2x1) + (3x0.5) + (4x0.25) = 2 + 1.5 + 1 = 4.5 units.
  • 4.5 units = 180rs. 1 unit = 40. Now solve.
• Income-Expenditure:
  • Inc = Exp + Sav.
  • If Inc ratio 5:4, Exp ratio 3:2, Saving 800 each.
  • Cross Product: 52 - 43 = 10-12 = 2 units diff. 2 unit = Diff in savings logic.

3. Partnership

• Profit = Investment x Time.
• P1 : P2 = I1T1 : I2T2.
• Sleeping Partner: Invests money but no time (Only gets profit share).
• Working Partner: Gets Salary + Profit share.