. A shopkeeper blends two types of rice, one costing *12.50/kg and the other costing 14/kg in the ratio of 4: 5. Find his profit percent if he sells the mixture at *16/kg



Answer :

The profit percent of the shopkeeper is 20%.

To find the profit percent, first, we need to calculate the cost price (C.P.) per kilogram of the mixture.

C.P. per kilogram of mixture = (4/9) × 12.50₃ + (5/9) × 14₃ = 137.22₃

Next, we calculate the profit per kilogram by subtracting the cost price from the selling price.

Profit per kilogram = 16₃ - 137.22₃ = 27.78₃

Now, to find the profit percent, we use the formula:

Profit percent = (Profit / C.P.) × 100

Substituting the values:

Profit percent = (27.78₃ / 137.22₃) × 100 ≈ 20%

Therefore, the shopkeeper's profit percent is 20%.