A shopkeeper bought 20 kg of sugar at ₹45 per Kg, 25 kg of sugar at ₹50 per kg and 35 kg of sugar at ₹40 per kg. He spent a sum of ₹450 on transportation and other expenses. He mixed all the three types of sugar and sold all the stock at ₹52.50 per kg. His profit percent in the entire transaction is:
Answer & explanation
Correct answer: option 1
CP of sugar of quantity A = 45 × 20 = 900
CP of sugar of quantity B = 50 × 25 = 1250
CP of sugar of quantity C = 40 × 35 = 1400
Total quantity of mixes sugar = (20 + 25 + 35) = 80
Final CP including transportation and other expenses = (900 + 1250 + 1400 + 450) = 4000
CP of 1 kg of mixed sugar = \(\frac{4000}{80}\) = 50
SP of 1 kg of mixed sugar = 52.50
Profit = (52.50 – 50) = 2.50
Profit% = \(\frac{2.5 × 100}{50}\) = 5%