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A solution contains 30% of substance S and 70% of substance T by weight. If the solution has a total mass of 1200 grams, and 300 grams of substance S
Question

A solution contains 30% of substance S and 70% of substance T by weight. If the solution has a total mass of 1200 grams, and 300 grams of substance S are added to it, what is the new percentage concentration of substance S in the solution?

A.

40%

B.

44%

C.

33%

D.

45%

Correct option is B

Given
Initial total mass of solution = 1200 g
Initial percentage of Substance S = 30%
Mass of Substance S added = 300 g

Formula Used
Mass of substance = Percentage×Total MassPercentage \times Total \ Mass​​
New Percentage =  New Mass of SubstanceNew Total Mass×100\frac{\text{New Mass of Substance}}{\text{New Total Mass}} \times 100​​

Solution
Calculate the initial mass of Substance S:
Initial mass of S = 30100×1200=360g \frac{30}{100} \times 1200 = 360 g​​
Add the new amount of Substance S:
New mass of S = 360 + 300 = 660 g
Calculate the new total mass of the solution:
New total mass = 1200 + 300 = 1500 g
Find the new percentage concentration of S:
New Percentage = 6601500×100 \frac{660}{1500} \times 100​​

New Percentage = 66150×100=44%\frac{66}{150} \times 100 = 44\%​​

Final Answer
So the correct answer is (b)

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