one type of liquid contains 20% water and the second type of liquid contains `35%` of water. A glass is filled with 10 parts of first liquid and 4 parts of second liquid. the water in the new mixture in the glass is : (a) `37%` (b) `46%` (c) `12 1/7%` (d) `24 2/7%`

Explanation

Water in first type of liquid ` = 20%`

Water in second type of liquid `= 35%`

Now, a glass is filled with `10` parts of first liquid and `4` parts of second liquid.

`:.` Part of water in glass ` = 10*20/100+4*35/100`

`=2+1.4 = 3.4`

Total part of liquid in glass `=10+4= 14`

`:.` Percentage of water in new mixture in glass `= 3.4/14**100 = 170/7 = 24 2/7%`