Which of the following ratios are not in proportion?

Options

A. Rs. 20 : Rs. 150 and Rs. 70 : Rs. 525
B. 350 g : 700 g and 1500 g:3 kg
C. 3 L : 12 L and 400 mL : 1050 mL
D. 35 cm : 15 m and 70 m : 3 km

Answer

To determine which of the given ratios are not in proportion, we will follow these steps:

### Step 1: Understand the concept of proportion
Proportional ratios mean that the ratio of A to B is equal to the ratio of C to D, i.e., \( \frac{A}{B} = \frac{C}{D} \).

### Step 2: Check each option
We will check each option one by one to see if they are proportional.

#### Option 1:
- Ratios: \( \frac{20}{150} \) and \( \frac{70}{525} \)
- Simplifying \( \frac{20}{150} \):
- Divide both by 10: \( \frac{2}{15} \)
- Simplifying \( \frac{70}{525} \):
- Divide both by 35: \( \frac{2}{15} \)
- Since both ratios are equal, this option is proportional.

#### Option 2:
- Ratios: \( \frac{350}{700} \) and \( \frac{150}{300} \)
- Simplifying \( \frac{350}{700} \):
- Divide both by 350: \( \frac{1}{2} \)
- Simplifying \( \frac{150}{300} \):
- Divide both by 150: \( \frac{1}{2} \)
- Since both ratios are equal, this option is proportional.

#### Option 3:
- Ratios: \( \frac{3}{12} \) and \( \frac{400}{1050} \)
- Simplifying \( \frac{3}{12} \):
- Divide both by 3: \( \frac{1}{4} \)
- Simplifying \( \frac{400}{1050} \):
- Divide both by 50: \( \frac{8}{21} \)
- Since \( \frac{1}{4} \) is not equal to \( \frac{8}{21} \), this option is not proportional.

#### Option 4:
- Ratios: \( \frac{0.35}{0.5} \) and \( \frac{70}{3000} \)
- Simplifying \( \frac{0.35}{0.5} \):
- Multiply both by 100: \( \frac{35}{50} \) which simplifies to \( \frac{7}{10} \)
- Simplifying \( \frac{70}{3000} \):
- Divide both by 10: \( \frac{7}{300} \)
- Since \( \frac{7}{10} \) is not equal to \( \frac{7}{300} \), this option is also not proportional.

### Conclusion
The ratios that are not in proportion are found in Option 3 and Option 4.

### Final Answer
The ratios that are not in proportion are from **Option 3** and **Option 4**.

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