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A person has a chemical of Rs. 25 per litre. In what ratio should water be mixed in that chemical so that after selling the mixture at Rs. 20 per litre he may get a profit of 25%?
- a)13 : 16
- b)12 : 15
- c)16 : 9
- d)19 : 22
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
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To solve this problem, let's assume that the person needs to mix x liters of water with 1 liter of the chemical.
The cost of 1 liter of the chemical is Rs. 25, so the cost of x liters of the chemical will be 25x.
The selling price of 1 liter of the mixture is Rs. 20, and the person wants to make a profit of 25%. Therefore, the cost price of 1 liter of the mixture should be 80% of Rs. 20, which is Rs. 16.
Since the person is mixing x liters of water with 1 liter of the chemical, the total volume of the mixture will be (x + 1) liters.
Now, let's calculate the total cost price of the mixture:
Cost of chemical + Cost of water = Cost price of mixture
25x + (x + 1) * 0 = (x + 1) * 16
25x = 16x + 16
9x = 16
x = 16/9
So, the person needs to mix 16/9 liters of water with 1 liter of the chemical.
To find the ratio in which water should be mixed with the chemical, we can write it as:
Water : Chemical = 16/9 : 1
To simplify this ratio, let's multiply both sides by 9:
9 * (Water : Chemical) = 9 * (16/9 : 1)
9 * (Water : Chemical) = 16 : 9
Therefore, the ratio in which water should be mixed with the chemical is 16 : 9.
Hence, the correct option is (c) 16 : 9.
The cost of 1 liter of the chemical is Rs. 25, so the cost of x liters of the chemical will be 25x.
The selling price of 1 liter of the mixture is Rs. 20, and the person wants to make a profit of 25%. Therefore, the cost price of 1 liter of the mixture should be 80% of Rs. 20, which is Rs. 16.
Since the person is mixing x liters of water with 1 liter of the chemical, the total volume of the mixture will be (x + 1) liters.
Now, let's calculate the total cost price of the mixture:
Cost of chemical + Cost of water = Cost price of mixture
25x + (x + 1) * 0 = (x + 1) * 16
25x = 16x + 16
9x = 16
x = 16/9
So, the person needs to mix 16/9 liters of water with 1 liter of the chemical.
To find the ratio in which water should be mixed with the chemical, we can write it as:
Water : Chemical = 16/9 : 1
To simplify this ratio, let's multiply both sides by 9:
9 * (Water : Chemical) = 9 * (16/9 : 1)
9 * (Water : Chemical) = 16 : 9
Therefore, the ratio in which water should be mixed with the chemical is 16 : 9.
Hence, the correct option is (c) 16 : 9.
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A person has a chemical of Rs. 25 per litre. In what ratio should water be mixed in that chemical so that after selling the mixture at Rs. 20 per litre he may get a profit of 25%?a)13 : 16b)12 : 15c)16 : 9d)19 : 22e)None of theseCorrect answer is option 'C'. Can you explain this answer?
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