In what ratio should sugar costing ₹40 per kg be mixed with sugar costing ₹81 per kg so that by selling the mixture at ₹57.5 per kg, there is a profit of 25%?

Correct option is A

Given:

Cost of sugar 1: ₹40 per kg

Cost of sugar 2: ₹81 per kg

Selling price of the mixture: ₹57.5 per kg

Desired profit: 25%

Formula Used:

Cost Price of the mixture $$= \frac{\text{Selling Price}}{1 + \text{Profit Percentage}}$$​

Solution:

Cost Price of the mixture $$= \frac{57.5}{1 + 0.25} = \frac{57.5}{1.25} = 46$$​

Required ratio $$= \frac{(81 - 46)}{(46 - 40)} = \frac{35}{6}$$​