If 36 litres of 20% milk solution is mixed with 48 litres of 10% milk solution, then what will be the percentage concentration of milk in the final solution?
- A14.28%
- B15.48%
- C12.38%
- D13.36%
Solution & Step-by-step Explanation
Total quantity of milk in the first solution:
Milk
1
=36×
100
20
=7.2 litres
Total quantity of milk in the second solution:
Milk
2
=48×
100
10
=4.8 litres
Total quantity of milk in the final mixture:
Total Milk=7.2+4.8=12 litres
Total volume of the final mixture:
Total Volume=36+48=84 litres
Percentage concentration of milk in the final solution:
Percentage=(
84
12
)×100%=
7
1
×100%≈14.28%
Milk
1
=36×
100
20
=7.2 litres
Total quantity of milk in the second solution:
Milk
2
=48×
100
10
=4.8 litres
Total quantity of milk in the final mixture:
Total Milk=7.2+4.8=12 litres
Total volume of the final mixture:
Total Volume=36+48=84 litres
Percentage concentration of milk in the final solution:
Percentage=(
84
12
)×100%=
7
1
×100%≈14.28%