In what ratio should sugar costing ₹83 per kg be mixed with sugar costing ₹46 per kg so that by selling the mixture at ₹80.3 per kg, there is a profit of 46%?

A shopkeeper mixes two types of rice in the ratio 5 : 3, where one type costs ₹75 per kg and the other costs ₹85 per kg. Find the average price per kg of the mixture.

In what ratio (cheaper to dearer) should a grocer mix two varieties of pulses costing ₹18 and ₹22 per kg, respectively, to obtain a mixture worth ₹19.50 per kg?