Quantity I: On selling 17 balls at Rs. 720, there is a loss equal to the cost price of 5 balls. The cost price of a ball is:
Quantity II: A man buys a cycle for Rs. 1400 and sells it at a loss of `15%.` The selling price is :

Options

A. Quantity `Igt` Quantity II
B. Quantity `I ge` Quantity II
C. Quantity `II gt` Quantity II
D. Quantity `II ge` Quantity I

Explanation

To solve the problem, we need to analyze both quantities step by step.

### Quantity I:
1. **Understanding the Problem**: We know that 17 balls are sold for Rs. 720, and there is a loss equal to the cost price of 5 balls. We need to find the cost price of one ball.

2. **Let the Cost Price of One Ball be CP**:
- Therefore, the total cost price of 17 balls = 17 * CP.

3. **Loss Calculation**:
- The loss is equal to the cost price of 5 balls, which is 5 * CP.
- Selling Price (SP) = Cost Price (CP) - Loss
- SP = (17 * CP) - (5 * CP) = 12 * CP.

4. **Setting Up the Equation**:
- We know that the selling price of 17 balls is Rs. 720.
- Therefore, we can set up the equation:
\[ 12 \cdot CP = 720 \]

5. **Solving for CP**:
- To find CP, we divide both sides of the equation by 12:
\[ CP = \frac{720}{12} = 60 \]
- So, the cost price of one ball is Rs. 60.

### Quantity II:
1. **Understanding the Problem**: A man buys a cycle for Rs. 1400 and sells it at a loss of 15%. We need to find the selling price.

2. **Calculating Selling Price**:
- If the cost price (CP) is Rs. 1400 and the loss is 15%, then the selling price (SP) can be calculated as:
- SP = CP - Loss
- Loss = 15% of CP = 0.15 * 1400 = Rs. 210.

3. **Final Calculation**:
- Now, we can find the selling price:
\[ SP = 1400 - 210 = 1190 \]
- Therefore, the selling price of the cycle is Rs. 1190.

### Summary:
- **Quantity I**: Cost price of one ball = Rs. 60.
- **Quantity II**: Selling price of the cycle = Rs. 1190.

### Comparing Quantities:
- Quantity I = Rs. 60
- Quantity II = Rs. 1190

### Conclusion:
- Quantity II is greater than Quantity I.

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

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