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total profit is 15 percent
15 percent of 120 = 10percent of x +25percent of (120-x)
15×120=10x+3000-25x
1800-3000= -15x
-1200= -15x
x=1200/15
x=80
15 percent of 120 = 10percent of x +25percent of (120-x)
15×120=10x+3000-25x
1800-3000= -15x
-1200= -15x
x=1200/15
x=80
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Answer:
40 kg
Step-by-step explanation:
Total amount of rice = 120kg
Find the total gain:
Total gain = 15% of 120 kg
Total gain = 0.15 x 120 = 18 kg
Define x:
Let x be the amount be sold at 10%
The amount sold at 25% is (120 - x)
Solve x:
x of 10% gain and (120 - x) of 25% gain will give us 18 kg gain
0.1x + 0.25(120 -x) = 18
0.1x + 30 - 0.25x = 18
0.15x = 12
x = 80
Find the quantity of each:
Quantity sold at 10% gain = x = 80kg
Quantity sold at 25% gain = 120 - x = 120 - 80 = 40 kg
Answer: 40 kg was sold at 25% gain.
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