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500 gram spirit solution has 50% spirit in it. What quantity of spirit must be mixed with the solution to get a solution of 75% spirit?
  • a)
    200 grams
  • b)
    250 grams
  • c)
    320 grams
  • d)
    500 grams
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
500 gram spirit solution has 50% spirit in it. What quantity of spirit...

25 : 25 = 1 : 1

Hence, Option D is correct.
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Most Upvoted Answer
500 gram spirit solution has 50% spirit in it. What quantity of spirit...
Given information:
- Initial solution has 500 grams with 50% spirit
- Final solution should have 75% spirit

Let x grams of spirit be added

Calculating the amount of spirit in the initial solution:
- Spirit in initial solution = 50% of 500 grams = 0.5 * 500 = 250 grams

Calculating the amount of spirit in the final solution:
- Spirit in final solution = 75% of (500 + x) grams
- Spirit in final solution = 0.75 * (500 + x) = 375 + 0.75x grams

Equating the amounts of spirit in the initial and final solutions:
- 250 = 375 + 0.75x
- 0.75x = 250 - 375
- 0.75x = 125
- x = 125 / 0.75
- x = 500 grams
Therefore, 500 grams of spirit must be mixed with the solution to get a solution of 75% spirit.
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