Hello sir, I am yuganshi. The sum i am sending is in PSA , Sir, please help me to solve it.

Alcohol costs Rs. 3.50 Rs. per litre and kerosene oil costa Rs. 2.50 per litre. In what proportion these should be mixed so that the resulting mixtures may be worth Rs. 2.75 per liters?

Asked by rdbharti2008 | 11th Oct, 2014, 06:13: PM

Expert Answer:

Let percentages of alcohol & kersosene in the resultant mixture be x and y respectively.
Thus
x plus y equals 100 left parenthesis x over 100 cross times 3.50 right parenthesis plus left parenthesis y over 100 cross times 2.50 right parenthesis equals 2.75 M u l t i p l y i n g space 100 space b y space b o t h space s i d e s comma left parenthesis x cross times 3.5 right parenthesis plus left parenthesis y cross times 2.5 right parenthesis equals 2.75 cross times 100 equals 275 S i n c e space x plus y equals 100 comma y equals left parenthesis 100 minus x right parenthesis T h u s comma 3.5 cross times x plus left parenthesis 100 minus x right parenthesis cross times 2.5 equals 275 m u l t i p l y i n g space b y space 2 space b o t h space s i d e s comma 7 x plus left parenthesis 100 minus x right parenthesis cross times 5 equals 550 7 x plus 500 minus 5 x equals 550 2 x equals 50 x equals 25 T h u s comma space y equals 100 minus x space equals space 100 minus 25 space equals space 75 x equals 25 space & y equals 75 T h u s comma space x space a n d space y space a r e space i n space p r o p o r t i o n s : x : y equals 25 : 75 equals 1 : 3
 
Hence, proportion of alcohol and kerosene should be 1:3 to get a mixture worth Rs 2.75 per litre.

Answered by Vimala Ramamurthy | 12th Oct, 2014, 12:14: PM