There is a 800 gram mixture of water, spirit and alcohol and their quantity is `20%, 30% and 50%`respectively.` 40%` of the spirit is evaporated and 80 gram of alcohol is added. If quantity of water is increased by `50%` , then find out the quantity of spirit in new mixture.

Answer

To solve the problem step by step, we will break down the quantities of water, spirit, and alcohol in the initial mixture, calculate the changes after evaporation and addition, and finally determine the quantity of spirit in the new mixture.

### Step 1: Calculate the initial quantities of water, spirit, and alcohol.
The total mixture is 800 grams, with the following percentages:
- Water: 20%
- Spirit: 30%
- Alcohol: 50%

**Calculations:**
- Quantity of Water = 20% of 800g = (20/100) * 800 = 160g
- Quantity of Spirit = 30% of 800g = (30/100) * 800 = 240g
- Quantity of Alcohol = 50% of 800g = (50/100) * 800 = 400g

### Step 2: Calculate the quantity of spirit after evaporation.
40% of the spirit evaporates.

**Calculations:**
- Amount of spirit evaporated = 40% of 240g = (40/100) * 240 = 96g
- Remaining spirit = Initial spirit - Evaporated spirit = 240g - 96g = 144g

### Step 3: Add the alcohol to the mixture.
We are adding 80 grams of alcohol to the remaining mixture.

**Calculations:**
- New quantity of Alcohol = Initial alcohol + Added alcohol = 400g + 80g = 480g

### Step 4: Increase the quantity of water by 50%.
The quantity of water is increased by 50%.

**Calculations:**
- Increase in water = 50% of 160g = (50/100) * 160 = 80g
- New quantity of Water = Initial water + Increase in water = 160g + 80g = 240g

### Step 5: Determine the quantity of spirit in the new mixture.
The quantity of spirit does not change when we add water or alcohol. Therefore, the quantity of spirit remains the same as calculated in Step 2.

**Final Answer:**
- Quantity of Spirit in the new mixture = 144g

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