A 20% gain is made by selling the mixture of two types of ghee at Rs. 480 per kg. If the ghee costing Rs. 610 per kg was mixed with 126 kg of the other, how many kilograms of the former was mixed?
-
23 kg.
-
25 kg.
-
30 kg.
-
32 kg.
-
Cannot be determined
E
Correct answer
Explanation
The mixture is sold at Rs. 480/kg with a 20% gain, so the cost price of the mixture is 480/1.2 = Rs. 400/kg. Let x kg be the quantity of Rs. 610/kg ghee and 126 kg be the quantity of the other ghee costing Rs. C/kg. The equation is (610x + 126C)/(x + 126) = 400, which simplifies to 210x = 126(400 - C). Since we don't know the cost C of the other ghee, we cannot find a unique value for x. The problem is underspecified.