A man buys milk at ₹50 per litre and adds to it water equal to one-third of the milk. If he sells it at ₹60 per litre, then find his profit percentage.
- A40%
- B30%
- C20%
- D60%
Solution & Step-by-step Explanation
Let the quantity of milk purchased be 3 litres (assumed to make calculations simpler).
Cost price of milk = ₹50 per litre.
Total Cost Price (CP)=3×50=₹150
Water added is equal to one-third of the milk:
Water added=
3
1
×3=1 litre
Total quantity of the mixture now =3 litres (milk)+1 litre (water)=4 litres
Since water is assumed to be free of cost, the cost price of this mixture remains ₹150.
He sells the mixture at ₹60 per litre:
Total Selling Price (SP)=4×60=₹240
Now, calculate profit and profit percentage:
Profit=SP−CP=240−150=₹90
Profit Percentage=(
CP
Profit
)×100=(
150
90
)×100=
5
3
×100=60%
Cost price of milk = ₹50 per litre.
Total Cost Price (CP)=3×50=₹150
Water added is equal to one-third of the milk:
Water added=
3
1
×3=1 litre
Total quantity of the mixture now =3 litres (milk)+1 litre (water)=4 litres
Since water is assumed to be free of cost, the cost price of this mixture remains ₹150.
He sells the mixture at ₹60 per litre:
Total Selling Price (SP)=4×60=₹240
Now, calculate profit and profit percentage:
Profit=SP−CP=240−150=₹90
Profit Percentage=(
CP
Profit
)×100=(
150
90
)×100=
5
3
×100=60%