The difference between a discount of 40% on X 500 and two successive discounts of 36% and 4% on the same amount is

Options

A. X 0
B. X 2
C. ? 1.93
D. ? 7.20

Answer

To solve the problem, we need to calculate two different discounts on the amount of X 500 and then find the difference between them.

### Step 1: Calculate the discount of 40% on X 500

1. **Calculate the amount of discount**:
\[ \text{Discount} = 40\% \text{ of } 500 = \frac{40}{100} \times 500 = 200 \]

2. **Calculate the final price after the discount**:
\[ \text{Final Price} = 500 - 200 = 300 \]

### Step 2: Calculate the two successive discounts of 36% and 4% on X 500

1. **Calculate the first discount of 36%**:
\[ \text{First Discount} = 36\% \text{ of } 500 = \frac{36}{100} \times 500 = 180 \]

2. **Calculate the price after the first discount**:
\[ \text{Price after 36% discount} = 500 - 180 = 320 \]

3. **Calculate the second discount of 4% on the new price (320)**:
\[ \text{Second Discount} = 4\% \text{ of } 320 = \frac{4}{100} \times 320 = 12.8 \]

4. **Calculate the final price after both discounts**:
\[ \text{Final Price after both discounts} = 320 - 12.8 = 307.2 \]

### Step 3: Find the difference between the two final prices

1. **Calculate the difference**:
\[ \text{Difference} = 300 - 307.2 = -7.2 \]

### Final Answer:
The difference between a discount of 40% on X 500 and two successive discounts of 36% and 4% on the same amount is **-7.2**.

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