Rahul went to purchase a Nokia mobile handset, the shopkeeper told him to pay `20%` tax if he asked the bill. Rahul manages to get the discount of `5%` on the actual saleprice of the mobile and he paid the shopkeeper ₹ 3325 without tax. Besides he manages to avoid to pay `20%` tax on the already discounted price, what is the amount of discount that he has got?

Options

A. 750
B. 375
C. 875
D. 525

Answer

To solve the problem step by step, we will break it down into manageable parts.

### Step 1: Understand the given information
Rahul paid ₹3325 after receiving a 5% discount on the actual sale price of the mobile handset. We need to find out the original sale price before the discount and the total discount amount he received.

### Step 2: Calculate the original sale price
Since Rahul received a 5% discount, he paid 95% of the original sale price. Let the original sale price be denoted as \( SP \).

We know:
\[ 0.95 \times SP = 3325 \]
To find \( SP \), we rearrange the equation:
\[ SP = \frac{3325}{0.95} \]

### Step 3: Perform the calculation
Calculating \( SP \):
\[ SP = \frac{3325}{0.95} = 3500 \]

### Step 4: Calculate the amount of discount
The amount of discount Rahul received can be calculated as:
\[ \text{Discount} = SP - \text{Amount Paid} \]
Substituting the values:
\[ \text{Discount} = 3500 - 3325 = 175 \]

### Step 5: Calculate the tax amount avoided
If Rahul had asked for a bill, he would have to pay an additional 20% tax on the original sale price. The tax amount can be calculated as:
\[ \text{Tax} = 0.20 \times SP = 0.20 \times 3500 = 700 \]

### Step 6: Calculate total savings
The total savings Rahul achieved by avoiding the tax and receiving the discount is:
\[ \text{Total Savings} = \text{Discount} + \text{Tax} = 175 + 700 = 875 \]

### Conclusion
The total amount of discount that Rahul has got is ₹875.

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