In what ratio should sugar costing ₹84 per kg be mixed with sugar costing ₹51 per kg so that by selling the mixture at ₹90.2 per kg, there is a profit of 10%?

Correct option is D

Given:

Cost Price of sugar type 1 = ₹84/kg

Cost Price of sugar type 2 = ₹51/kg

Selling Price of mixture = ₹90.2/kg

Profit = 10%

Formula Used:

Selling Price = C.P.$$\times \big(1 + \tfrac{Profit\%}{100}\big).$$​​

Solution:

First, find the C.P. of mixture:

C.P. $$= \frac{S.P.}{1.1} = \frac{90.2}{1.1} = 82 \, \text{₹/kg}$$​

Apply Alligation:

Sugar must be mixed in the ratio 31: 2 .