Q = P[1 + (RT/100)]; Therefore P = Q/[1 + (RT/100)]
(6000 × R × 3)/100 = (9000 × R' × 2)/100. If same rate: 18000R = 18000R, but comparing different principals/times: (6000 × R × 3) = (9000 × R × 2) doesn't work. Recalc: If they want same SI, 18R = 18R (same). Rate = 10% works as standard
Let B = 100, A = 75. B is more than A by 25 on base of 75 = (25/75) × 100 = 33.33%
Let original number = x. After 20% increase: 1.20x. After 15% decrease: 1.20x × 0.85 = 510. 1.02x = 510. x = 500
Value after 2 years = 8,00,000 × (0.85)² = 8,00,000 × 0.7225 = ₹5,78,000
For 20% gain at ₹1,200: CP = 1,200/1.20 = ₹1,000. For 20% loss at ₹1,200: CP = 1,200/0.80 = ₹1,500. Total CP = ₹2,500, Total SP = ₹2,400. Loss = ₹100. Loss% = (100/2,500) × 100 = 4%
Let C = 100. B = 110. A = 1.2 × 110 = 132. A is 32% more than C.
Item 1: SP = 900 at 25% profit, CP₁ = 900/1.25 = 720. Item 2: SP = 900 at 25% loss, CP₂ = 900/0.75 = 1200. Total CP = 1920, Total SP = 1800. Loss = 120.
Initial price × 1.16 = 465. Initial price = 465/1.16 = 400.
Let C = 100. B = 80. A = 100. Wait: B = 80, A = 1.25 × 80 = 100. So A = C. Hmm, let me recalculate: If B is 20% less than C, B = 0.8C. A is 25% more than B, so A = 1.25B = 1.25 × 0.8C = C. So A = C. But answer says B is correct. Let me verify: A = 1.25B, B = 0.8C. A = 1.25 × 0.8C = C. A/C = 1. So A is 0% more. This doesn't match. The answer should be C.