A milkman made a profit of Rs. 89 by selling milk at the rate of Rs. 14 / liter and Rs. 12 per liter in equal quantity and selling milk at the rate of Rs. 13.50 per liter.
Answers
The complete question is:
A milkman made a profit of Rs. 89 by buying milk in equal quantity at the rate of Rs. 14 / litre and Rs. 12 / litre and selling milk at the rate of Rs. 13.50 / litre. How many litres of milk did the milkman buy?
Solution:
Since the milkman bought milks at different rates in equal quantities, let x litres of each type milk is bought.
• 1st type of milk is bought at Rs. 14 / litre
Then cost of x litres = Rs. 14x
• 2nd type of milk is bought at Rs. 12 / litre
Then cost of x litres = Rs. 12x
Total milk = (x + x) litres
= 2x litres and
the total cost = Rs. (14x + 12x)
= Rs. 26x
Again, milk is sold at Rs. 13.50 / litre
Then selling price of 2x litres of milk
= Rs. (13.50 × 2x)
= Rs. 27x
By the given condition,
Profit = Rs. 89
Then, 27x - 26x = 89
or, x = 89
Therefore, the milkman bought 89 litres of milk.
Given,
Profit = Rs 89
Selling cost = Rs 13.50 per litre
Purchase Cost = Rs 14 / litre of 1 variant
Rs 12/litre of 2 variant
Milk has been purchased in 2 variants of 14/litre and 12/litre.
Let the quantity of milk is assumed to be x.
Hence, Purchase cost of the milk = 14x + 12x
Selling cost of milk = 13.50 (2x)
Selling Cost – Purchase Cost = Profit
Substituting the values into the above formula,
13.50 (2x) –{ (14x+12x)} = 89
27x – 26 x = 89
X = 89
Therefore, the milkman bought 89 litres of milk.