Quantity I: Profit percent when an article of cost price Rs. 160 is sold for Rs. 184.
Quantity II: When a person busy an article whose marked price is Rs. 2400 for Rs. 2016, then percentage discount availed by him.

Options

A. Quantity - I `gt` Quantity -Iis
B. Quantity `-I lt` Quantituy - II
C. Quantity `-Ige` Quantity - II
D. Quantity `- I le` Quantity - II

Explanation

To solve the problem, we need to calculate two quantities:

**Quantity I:** The profit percentage when an article with a cost price (CP) of Rs. 160 is sold for Rs. 184.

**Quantity II:** The percentage discount availed by a person who buys an article with a marked price (MP) of Rs. 2400 for Rs. 2016.

Let's break this down step by step.

### Step 1: Calculate Quantity I (Profit Percentage)

1. **Identify the Cost Price (CP) and Selling Price (SP):**
- CP = Rs. 160
- SP = Rs. 184

2. **Calculate Profit:**
\[ \text{Profit} = \text{SP} - \text{CP} = 184 - 160 = 24 \]

3. **Calculate Profit Percentage:**
\[ \text{Profit Percentage} = \left( \frac{\text{Profit}}{\text{CP}} \right) \times 100 = \left( \frac{24}{160} \right) \times 100 \]
\[ = 0.15 \times 100 = 15\% \]

### Step 2: Calculate Quantity II (Discount Percentage)

1. **Identify the Marked Price (MP) and Selling Price (SP):**
- MP = Rs. 2400
- SP = Rs. 2016

2. **Calculate Discount:**
\[ \text{Discount} = \text{MP} - \text{SP} = 2400 - 2016 = 384 \]

3. **Calculate Discount Percentage:**
\[ \text{Discount Percentage} = \left( \frac{\text{Discount}}{\text{MP}} \right) \times 100 = \left( \frac{384}{2400} \right) \times 100 \]
\[ = 0.16 \times 100 = 16\% \]

### Summary of Results
- **Quantity I (Profit Percentage):** 15%
- **Quantity II (Discount Percentage):** 16%

### Comparison of Quantities
- Quantity I = 15%
- Quantity II = 16%

Since 16% (Quantity II) is greater than 15% (Quantity I), we conclude that:

**Quantity II is greater than Quantity I.**

### Final Answer
The answer is that Quantity II is greater than Quantity I.

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