how many liters of oil at rs.40 per liter should be mixed with 240 liters of a second variety of oil at rs.60 per liter so as to get a mixture whose cost is rs.52 per liter?

To find how many liters of oil at Rs. 40 per liter should be mixed with 240 liters of a second variety of oil at Rs. 60 per liter to get a mixture costing Rs. 52 per liter, we use the alligation method or set up an equation: Let the quantity of oil at Rs. 40 per liter be xxx liters. The total cost of the mixture is given by:

40x+60×240=52(x+240)40x+60\times 240=52(x+240)40x+60×240=52(x+240)

Expanding and simplifying:

40x+14400=52x+1248040x+14400=52x+1248040x+14400=52x+12480

14400−12480=52x−40x14400-12480=52x-40x14400−12480=52x−40x

1920=12x1920=12x1920=12x

x=192012=160x=\frac{1920}{12}=160x=121920​=160

So, 160 liters of oil at Rs. 40 per liter should be mixed with 240 liters of oil at Rs. 60 per liter to get the desired mixture costing Rs. 52 per liter