Chemicals A & B are formed by mixing x, y and z in the ratio of 8:3:4 and 4:3:8 respectively. The cost per liter of x, y and z is Rs.300, Rs.240 and Rs.180 respectively. Chemical C is produced by mixing Chemicals A & B in a certain ratio. If total cost of producing 1,000 liters of Chemical C is Rs.252,000 find the ratio of Chemicals A & B in Chemical C.
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Answer:
7:1
Step-by-step explanation:
1 Liter of A = 8/15*X+3/15*Y+4/15*Z
1 liter of B = 4/15 * X + 3/15*Y + 8/15*Z
Cost of 1 liter of A = 8/15*$300 + 3/15*$240 + 4/15 *$180 = $256 / Liter
Cost of 1 liter of B = 4/15*$300 + 3/15*$240 + 8/15*$180 = $224 / Liter
Cost of 1 liter of C = $252,000/$1,000 = $252
Cost of 1 liter of C = $256*A/(A+B) + $224*B/(A+B)
$252 = $256*A/(A+B) + $224*B/(A+B)
252A + 252B = 256*A + 224*B
28 B = 4 A
7 B = A
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