This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Tafuta bei ya kuuza (Selling Price, SP) baada ya punguzo. Bei iliyoandikwa (Marked Price) ni Ksh. 450,000. Punguzo ni 7\%. Kiasi cha punguzo ni: Kiasi cha punguzo = (7)/(100) × 450,000 = 31,500 Ksh. Bei ya kuuza (SP) ni: SP = 450,000 - 31,500 = 418,500 Ksh. Step 2: Tafuta kiasi cha pesa muuzaji alicholipa kwa gari (Cost Price, CP). Muuzaji alipata faida ya 13\% juu ya bei ya kununua (CP). Hii inamaanisha kuwa bei ya kuuza (SP) ni 100\% + 13\% = 113\% ya bei ya kununua. Hivyo, SP = 1.13 × CP Tunajua SP = Ksh. 418,500, kwa hiyo: 418,500 = 1.13 × CP Ili kupata CP, gawanya SP kwa 1.13: CP = (418,500)/(1.13) CP ≈ 370,353.9823 Kiasi cha pesa muuzaji alicholipa kwa gari, tukizungusha hadi senti mbili, ni: CP = Ksh. 370,353.98 Tuma swali linalofuata 📸