There are two types of rice. Type 1 rice costs ₹20 per kg and type 2 rice costs ₹25 per kg. Both the rice are mixed in the ratio 2:3. Find the cost (in ₹) of the mixed rice per kg.
- A23
- B23.5
- C22
- D22.5
Solution & Step-by-step Explanation
Let the quantity of Type 1 rice be 2xkg and the quantity of Type 2 rice be 3xkg.
The cost of Type 1 rice = 2x×20=₹40x
The cost of Type 2 rice = 3x×25=₹75x
Total cost of the mixture = 40x+75x=₹115x
Total weight of the mixture = 2x+3x=5xkg
The cost of the mixed rice per kg is:
Cost per kg=
5x
115x
=₹23
The cost of Type 1 rice = 2x×20=₹40x
The cost of Type 2 rice = 3x×25=₹75x
Total cost of the mixture = 40x+75x=₹115x
Total weight of the mixture = 2x+3x=5xkg
The cost of the mixed rice per kg is:
Cost per kg=
5x
115x
=₹23