What will be the difference between a discount of 20% and two successive discounts of 10% and 10% on Rs. 2000 ?

Options

A. Rs. 20
B. Rs. 30
C. Rs. 0
D. Rs. 40

Answer

To solve the problem of finding the difference between a discount of 20% on Rs. 2000 and two successive discounts of 10% each on the same amount, we can follow these steps:

### Step 1: Calculate the discount for a single 20% discount on Rs. 2000.
- **Calculation**:
\[ \text{Discount} = 20\% \text{ of } 2000 = \frac{20}{100} \times 2000 = 400 \]
- **Result**: The discount amount is Rs. 400.

### Step 2: Calculate the first 10% discount on Rs. 2000.
- **Calculation**:
\[ \text{First Discount} = 10\% \text{ of } 2000 = \frac{10}{100} \times 2000 = 200 \]
- **Result**: The first discount amount is Rs. 200.

### Step 3: Calculate the price after the first discount.
- **Calculation**:
\[ \text{Price after first discount} = 2000 - 200 = 1800 \]
- **Result**: The price after the first discount is Rs. 1800.

### Step 4: Calculate the second 10% discount on Rs. 1800.
- **Calculation**:
\[ \text{Second Discount} = 10\% \text{ of } 1800 = \frac{10}{100} \times 1800 = 180 \]
- **Result**: The second discount amount is Rs. 180.

### Step 5: Calculate the total discount from the two successive discounts.
- **Calculation**:
\[ \text{Total Discount} = \text{First Discount} + \text{Second Discount} = 200 + 180 = 380 \]
- **Result**: The total discount from the two successive discounts is Rs. 380.

### Step 6: Calculate the difference between the two discount amounts.
- **Calculation**:
\[ \text{Difference} = \text{Discount of 20\%} - \text{Total Discount from two 10\% discounts} = 400 - 380 = 20 \]
- **Result**: The difference between the two discount amounts is Rs. 20.

### Final Answer:
The difference between a discount of 20% and two successive discounts of 10% each on Rs. 2000 is Rs. 20.

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