If X is earning `40%` more than Z and Y is earning `35%` more than Z
Quantity I: If Z earning Rs. 17500, then X is earning
Quantity II: If Z earning Rs. 20000, then Y is earning

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 step by step, let's break down the information given and calculate the earnings for X and Y based on Z's earnings.

### Given:
1. X earns 40% more than Z.
2. Y earns 35% more than Z.

### Step 1: Calculate X's Earnings When Z Earns Rs. 17,500
- Z's earnings = Rs. 17,500
- To find X's earnings, we need to calculate 40% of Z's earnings and add it to Z's earnings.

**Calculation:**
1. Calculate 40% of Z's earnings:
\[ 40\% \text{ of } 17,500 = \frac{40}{100} \times 17,500 = 0.4 \times 17,500 \]
\[ = 7,000 \]

2. Add this to Z's earnings to find X's earnings:
\[ X = Z + 40\% \text{ of } Z = 17,500 + 7,000 = 24,500 \]

### Step 2: Calculate Y's Earnings When Z Earns Rs. 20,000
- Z's earnings = Rs. 20,000
- To find Y's earnings, we need to calculate 35% of Z's earnings and add it to Z's earnings.

**Calculation:**
1. Calculate 35% of Z's earnings:
\[ 35\% \text{ of } 20,000 = \frac{35}{100} \times 20,000 = 0.35 \times 20,000 \]
\[ = 7,000 \]

2. Add this to Z's earnings to find Y's earnings:
\[ Y = Z + 35\% \text{ of } Z = 20,000 + 7,000 = 27,000 \]

### Step 3: Compare the Two Quantities
- Quantity I (X's earnings when Z earns Rs. 17,500) = Rs. 24,500
- Quantity II (Y's earnings when Z earns Rs. 20,000) = Rs. 27,000

### Conclusion:
- Quantity I = 24,500
- Quantity II = 27,000

Since 27,000 (Quantity II) is greater than 24,500 (Quantity I), we conclude that:

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

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