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:

5%

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%