$(\text{Read the following information carefully to answer the questions.})$ $(\text{A shopkeeper mixes 20\% low quality rice with high quality rice and the cost of low quality's rice is 50\% of that of high quality's rice.})$ $(\text{If he uses 25\% less weight while selling and claims to sell the mixture at cost price of high quality's rice, then find the actual profit percentage?})$

Let high-quality rice cost be Rs. 100 per kg. Low-quality rice = Rs. 50 per kg. Mixture in 80:20 ratio has average cost = Rs. 90 per kg. The shopkeeper uses 25% less weight, so he gives only 0.75 kg but charges for 1 kg at Rs. 100 (cost price of high quality). Actual cost for 0.75 kg = 0.75 × 90 = Rs. 67.5. He charges Rs. 100 for this 0.75 kg. Profit = (100 - 67.5)/67.5 × 100 = 48.15%. The answer of 45.45% suggests a slightly different calculation method or interpretation.