The difference between a discount of 40% on Rs. 500 and two successive discounts of 30% and 10% on the same amount is

Options

A. Rs. 15
B. Rs. 0
C. Rs. 20
D. Rs. 10

Answer

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

1. The amount after applying a single discount of 40% on Rs. 500.
2. The amount after applying two successive discounts of 30% and 10% on Rs. 500.

Finally, we will find the difference between the two amounts calculated.

### Step 1: Calculate the amount after a 40% discount on Rs. 500.

- **Discount Amount** = 40% of Rs. 500
\[ \text{Discount Amount} = \frac{40}{100} \times 500 = 200 \]

- **Selling Price (SP) after 40% discount** = Rs. 500 - Discount Amount
\[ \text{SP} = 500 - 200 = 300 \]

### Step 2: Calculate the amount after successive discounts of 30% and 10%.

- **First Discount (30%)**:
- **Discount Amount** = 30% of Rs. 500
\[ \text{Discount Amount} = \frac{30}{100} \times 500 = 150 \]

- **Price after 30% discount** = Rs. 500 - Discount Amount
\[ \text{Price after 30% discount} = 500 - 150 = 350 \]

- **Second Discount (10%)**:
- **Discount Amount** = 10% of Rs. 350
\[ \text{Discount Amount} = \frac{10}{100} \times 350 = 35 \]

- **Selling Price (SP) after 30% and then 10% discount** = Rs. 350 - Discount Amount
\[ \text{SP} = 350 - 35 = 315 \]

### Step 3: Find the difference between the two selling prices.

- **Difference** = Selling Price after 40% discount - Selling Price after successive discounts
\[ \text{Difference} = 300 - 315 = -15 \]

### Final Answer:
The difference between a discount of 40% on Rs. 500 and two successive discounts of 30% and 10% on the same amount is Rs. -15.

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