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n what proportion water must be added to spirit to gain 33.33% by selling it at the cost price ?Options :1:31:41:51:2

Question

In what proportion water must be added to spirit to gain 33.33% by selling it at the cost price ?

Options:
1:3
1:4
1:5
1:2

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Solution

To solve this problem, we need to understand that gaining 33.33% by selling at cost price means that 1/3 of the final mixture is water. This is because the profit is made by adding water, which is essentially free, to the spirit.

Here are the steps to solve this problem:

  1. Let's assume the quantity of spirit is 1.

  2. Since we know that the profit is 33.33%, which is equivalent to 1/3, this means that 1/3 of the final mixture is water.

  3. Therefore, the quantity of water that needs to be added to the spirit is 1/2.

  4. So, the proportion of water to spirit is 1:2.

Therefore, the correct option is 1:2.

This problem has been solved

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1/2

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