In what ratio must water be mixed with milk to gain 16 2/3rd % on selling the…
2023
In what ratio must water be mixed with milk to gain 16 2/3rd % on selling the mixture at cost price?
- A.
1 : 6
- B.
2 : 3
- C.
1 : 9
- D.
2 : 5
Attempted by 24 students.
Show answer & explanation
Correct answer: A
Solution:
Let 1 litre of milk cost Re 1. Suppose x litre of water (which is free) is mixed with 1 litre of milk. Then total quantity = 1 + x litres and total cost = Re 1.
Cost price per litre of the mixture = 1/(1 + x). Selling price per litre (selling at cost price of milk) = Re 1.
Profit percent = (Selling price − Cost price) / Cost price × 100 = (1 − 1/(1 + x)) / (1/(1 + x)) × 100 = x × 100%.
We are given profit = 16 2/3% = 1/6 × 100%. So x × 100% = 16 2/3% implies x = 1/6.
Therefore the ratio of water to milk = x : 1 = 1 : 6.
Answer: 1 : 6