If the banker's discount and banker's gain on a certain bill, are RS 196 and RS 28, respectively. Find the amount of bill.

Options

A. X 1200
B. X 1376
C. X 1176
D. X 1400

Answer

To find the amount of the bill given the banker's discount and banker's gain, we can follow these steps:

### Step 1: Identify the given values
- Banker's Discount (BD) = Rs. 196
- Banker's Gain (BG) = Rs. 28

### Step 2: Calculate the True Discount (TD)
The True Discount can be calculated using the formula:
\[ TD = BD - BG \]
Substituting the values:
\[ TD = 196 - 28 = 168 \]

### Step 3: Use the formula to find the Amount of the Bill (A)
The formula to find the Amount of the Bill is:
\[ A = \frac{BD \times TD}{BG} \]
Substituting the values we have:
\[ A = \frac{196 \times 168}{28} \]

### Step 4: Simplify the calculation
First, simplify \( \frac{168}{28} \):
\[ \frac{168}{28} = 6 \]
Now, substitute this back into the equation:
\[ A = 196 \times 6 \]

### Step 5: Calculate the final amount
Now, perform the multiplication:
\[ A = 1176 \]

### Conclusion
The amount of the bill is Rs. 1176.

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