Meghna bought a packet of plain paper clips for `80` paise and a packet of colored clips for `Rs 2`. Find the ratio of the price of the plain clips to the price of the colored clips.

Options

A. `2:5`
B. `3:5`
C. `4:5`
D. `1:5`

Answer

To solve the problem of finding the ratio of the price of plain paper clips to the price of colored clips, follow these steps:

### Step 1: Identify the prices
- Price of plain paper clips = 80 paise
- Price of colored clips = Rs 2

### Step 2: Convert the price of colored clips to paise
- Since 1 Rupee = 100 paise, we convert Rs 2 to paise:
\[ 2 \text{ Rs} = 2 \times 100 = 200 \text{ paise} \]

### Step 3: Set up the ratio
- Now we have:
- Price of plain paper clips = 80 paise
- Price of colored clips = 200 paise
- The ratio of the price of plain clips to colored clips is:
\[ \text{Ratio} = \frac{\text{Price of plain clips}}{\text{Price of colored clips}} = \frac{80 \text{ paise}}{200 \text{ paise}} \]

### Step 4: Simplify the ratio
- To simplify the ratio, divide both the numerator and the denominator by their greatest common divisor (GCD), which is 40:
\[ \frac{80 \div 40}{200 \div 40} = \frac{2}{5} \]

### Step 5: Write the final ratio
- Therefore, the ratio of the price of plain paper clips to the price of colored clips is:
\[ 2 : 5 \]

### Final Answer:
The ratio of the price of the plain clips to the price of the colored clips is **2 : 5**.

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