Question

3 Find the proportion in which water should be blended with pure milk to get a profit of 16 2/3% by
marketing the mix at its original price it was purchased for?
A 6/9 B 677 C 6/8 D 5/7​

Answer 1

c) 6/8.......................

Answer 2

Given:

A profit of 16 2/3%

To find:

Find the proportion in which water should be blended with pure milk to get a profit of 16 2/3% by  marketing the mix at its original price it was purchased for?

Solution:

Let CP of 1 l milk = Rs. 1

SP of 1 l mixture of water and milk = CP of 1 l milk = Rs. 1

CP of 1 l mixture = 100 / (100 + Gain%) × SP

= 100 / (100 + 16 2/3) × 1

= 100 / (100 + 50/3) × 1

= 6/7

CP of 1 l water = 1 - 6/7 = 1/7

CP of 1 l milk = 6/7 - 0 = 6/7

1 : 6 is the proportion  in which water should be blended with pure milk to get a profit of 16 2/3% .