On selling a jug for ₹ 168, man loses `1/7` of his outlay. The cost price of the jug is

Options

A. `₹144`
B. `₹192`
C. `₹196`
D. `₹172`

Answer

To find the cost price of the jug, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Selling Price (SP) and Loss Percentage**:
- The selling price (SP) of the jug is given as ₹168.
- The man incurs a loss of \( \frac{1}{7} \) of his outlay (cost price).

2. **Let the Cost Price (CP) be \( X \)**:
- We will denote the cost price of the jug as \( X \).

3. **Calculate the Loss**:
- The loss can be expressed as \( \frac{1}{7} \times X \).

4. **Use the Loss Formula**:
- The formula for loss is:
\[ \text{Loss} = \text{Cost Price} - \text{Selling Price} \]
- Therefore, we can write:
\[ \frac{1}{7}X = X - 168 \]

5. **Rearranging the Equation**:
- Rearranging the equation gives:
\[ X - \frac{1}{7}X = 168 \]

6. **Combine Like Terms**:
- To combine the terms on the left side, we can express \( X \) as \( \frac{7}{7}X \):
\[ \frac{7}{7}X - \frac{1}{7}X = 168 \]
- This simplifies to:
\[ \frac{6}{7}X = 168 \]

7. **Solve for \( X \)**:
- To isolate \( X \), multiply both sides by \( \frac{7}{6} \):
\[ X = 168 \times \frac{7}{6} \]

8. **Calculate the Value**:
- First, calculate \( 168 \div 6 = 28 \).
- Then, multiply by 7:
\[ X = 28 \times 7 = 196 \]

9. **Conclusion**:
- Therefore, the cost price of the jug is ₹196.

### Final Answer:
The cost price of the jug is ₹196.