A man gets a discount of `32%` and then `25%` on his shopping bill of Rs. 5000. What is the total discount percentage he got ?

Options

A. `57%`
B. `49%`
C. `7%`
D. `45%`

Answer

To find the total discount percentage a man received after getting two successive discounts of 32% and then 25% on a shopping bill of Rs. 5000, we can follow these steps:

### Step 1: Calculate the first discount
The first discount is 32% of Rs. 5000.

\[ \text{First Discount} = 32\% \text{ of } 5000 = \frac{32}{100} \times 5000 = 1600 \]

### Step 2: Calculate the price after the first discount
After applying the first discount, the price becomes:

\[ \text{Price after First Discount} = 5000 - 1600 = 3400 \]

### Step 3: Calculate the second discount
Now, we apply the second discount of 25% on the new price of Rs. 3400.

\[ \text{Second Discount} = 25\% \text{ of } 3400 = \frac{25}{100} \times 3400 = 850 \]

### Step 4: Calculate the final price after both discounts
After applying the second discount, the final price becomes:

\[ \text{Final Price} = 3400 - 850 = 2550 \]

### Step 5: Calculate the total discount received
The total discount received is the initial price minus the final price:

\[ \text{Total Discount} = 5000 - 2550 = 2450 \]

### Step 6: Calculate the total discount percentage
The total discount percentage can be calculated using the formula:

\[ \text{Total Discount Percentage} = \left( \frac{\text{Total Discount}}{\text{Original Price}} \right) \times 100 \]

Substituting the values:

\[ \text{Total Discount Percentage} = \left( \frac{2450}{5000} \right) \times 100 = 49\% \]

Thus, the total discount percentage the man received is **49%**.

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