Rahul marks his bike 37.5% above the cost price and allows the purchaser a discount of 16.66% for cash buying. What is the ratio between the selling price and cost price? राहुल अपनी मोटरसाइकिल का दाम उसकी लागत मूल्य से 37.5% बढ़ाकर रखता है एवं क्रेता को नकद खरीद पर 16.66% की छूट देता है। बाइक के विक्रय मूल्य एंव क्रय मूल्य के बीच का अनुपात ज्ञात कीजिए?

Let CP = 100. Markup of 37.5% means price = 100 + 37.5 = 137.5. Discount of 16.66% (which is 1/6) on 137.5 gives: 137.5 × (1 - 1/6) = 137.5 × (5/6) = 687.5/6 = 114.5833... This is SP/CP = 114.5833/100 = 1145833/1000000, which doesn't simplify to 55:48. Let me try with fraction: 37.5% = 3/8, so marked price = 100 + (3/8)×100 = 100 + 37.5 = 137.5. Discount of 16.66% = 1/6, so SP = 137.5 × (1 - 1/6) = 137.5 × 5/6 = 687.5/6 ≈ 114.58. Ratio SP:CP = 114.58:100 ≈ 1.146:1. Option A (55:48) = 1.146:1. Yes! 55/48 = 1.1458..., which matches.