Milkman Indravadan is planning to sell Rabdi. He bought milk at the ra...
In the initial mixture, milk: water = 5:4 which becomes 4:5 after cooking. Assume that he mixed 25 kg of milk with 20 kg of sugar initially.
The cost price for this 45 kg mixture to Indravadan= 25 x 30 + 50 x 20 = Rs1750
To earn 20% discount on this investment, his total selling amount should be 1.2 x 1750 = Rs 2100
Now after cooking, the new ratio is 4:5. Since the sugar amount remains the same i.e. 20 kg, the milk content after reduction will be 16 kg.
Thus, the total weight will be 36kg.
He wants to sell this 36kg for Rs 2100.
Thus, the selling price per kg is 2100/36 = Rs 58.33.
View all questions of this test
Milkman Indravadan is planning to sell Rabdi. He bought milk at the ra...
Of rabdi, the ratio of milk to sugar is 7:3.
Let's assume the quantity of milk bought by the milkman is x kg.
According to the given ratio, the quantity of sugar bought by the milkman is (4/5)x kg.
The cost of milk bought by the milkman is Rs 30/kg, so the total cost of milk is 30x Rs.
The cost of sugar bought by the milkman is Rs 50/kg, so the total cost of sugar is (4/5)x * 50 Rs.
The total cost of the mixture is the sum of the cost of milk and the cost of sugar, which is 30x + (4/5)x * 50 Rs.
Given that the ratio of milk to sugar in the new mixture is 7:3, the ratio of milk to the total mixture is 7/(7+3) = 7/10.
Since the quantity of the mixture is same as the quantity of milk bought by the milkman, the quantity of milk in the mixture is (7/10)x kg.
According to the given information, some of the water got evaporated during cooking. This means that the quantity of the mixture after cooking is less than the quantity of the mixture before cooking.
Let's assume the quantity of the mixture after cooking is y kg.
Since the ratio of milk to the total mixture is 7/10, the quantity of milk in the mixture after cooking is (7/10)y kg.
The ratio of milk to sugar in the mixture after cooking is given as 7:3.
Therefore, (7/10)y / (3/10)y = 7/3
Simplifying, we get y = (7/3) * (3/7) * x = x
This implies that the quantity of the mixture after cooking is the same as the quantity of milk bought by the milkman.
Hence, the quantity of the mixture after cooking is x kg.
Therefore, the cost of the mixture after cooking is 30x + (4/5)x * 50 Rs.
Milkman Indravadan is planning to sell Rabdi. He bought milk at the ra...
In the initial mixture, milk: water = 5:4 which becomes 4:5 after cooking. Assume that he mixed 25 kg of milk with 20 kg of sugar initially.
The cost price for this 45 kg mixture to Indravadan= 25 x 30 + 50 x 20 = Rs1750
To earn 20% discount on this investment, his total selling amount should be 1.2 x 1750 = Rs 2100
Now after cooking, the new ratio is 4:5. Since the sugar amount remains the same i.e. 20 kg, the milk content after reduction will be 16 kg.
Thus, the total weight will be 36kg.
He wants to sell this 36kg for Rs 2100.
Thus, the selling price per kg is 2100/36 = Rs 58.33.
To make sure you are not studying endlessly, EduRev has designed CAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CAT.