Fresh fruit contains `72%` water and dry fruits contains `20%` water. How much dry fruit from 100 kg of fresh fruit can be obtained ?

Options

A. 32 kg
B. 33 kg
C. 30 kg
D. 35 kg

Answer

To solve the problem of how much dry fruit can be obtained from 100 kg of fresh fruit, we can follow these steps:

### Step 1: Determine the solid content of fresh fruit
Fresh fruit contains 72% water, which means the remaining percentage is the solid content.

**Calculation:**
- Solid content in fresh fruit = 100% - 72% = 28%

### Step 2: Calculate the solid weight in 100 kg of fresh fruit
Now, we need to find out how much solid is present in 100 kg of fresh fruit.

**Calculation:**
- Solid weight in fresh fruit = 28% of 100 kg
- Solid weight = (28/100) * 100 kg = 28 kg

### Step 3: Determine the solid content of dry fruit
Dry fruit contains 20% water, which means the solid content is:

**Calculation:**
- Solid content in dry fruit = 100% - 20% = 80%

### Step 4: Set up the equation for the solid parts
Let Q kg be the weight of the dry fruit obtained. The solid part of the dry fruit can be expressed as:

**Calculation:**
- Solid weight in dry fruit = 80% of Q kg
- Solid weight = (80/100) * Q = 0.8Q

### Step 5: Equate the solid weights
Since the solid part of the fresh fruit is equal to the solid part of the dry fruit, we can set up the equation:

**Equation:**
- Solid weight in fresh fruit = Solid weight in dry fruit
- 28 kg = 0.8Q

### Step 6: Solve for Q
Now, we can solve for Q.

**Calculation:**
- Q = 28 kg / 0.8
- Q = 35 kg

### Conclusion
Thus, from 100 kg of fresh fruit, we can obtain **35 kg of dry fruit**.

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