Ravi marks his goods 35% above CP but allows 22.22% discount for Cash. Find out his gain/loss%?

Options

A. `6 (2)/(3)%` Gain
B. `5%` Gain
C. `6%` Gain
D. `6 (2)/(3)%` Loss

Answer

To solve the problem step by step, we will follow these calculations:

### Step 1: Determine the Cost Price (CP)
Let the Cost Price (CP) be \(100\) rupees.

### Step 2: Calculate the Marked Price (MP)
Ravi marks his goods 35% above the Cost Price.
- Marked Price (MP) = CP + 35% of CP
- MP = \(100 + 35\% \times 100\)
- MP = \(100 + 35 = 135\) rupees

### Step 3: Calculate the Discount
Ravi allows a discount of 22.22% on the Marked Price.
- Discount = 22.22% of MP
- Discount = \(22.22\% \times 135\)
- Discount = \(\frac{22.22}{100} \times 135 = 30\) rupees (approximately, as \(22.22\%\) is equivalent to \(\frac{2}{9}\))

### Step 4: Calculate the Selling Price (SP)
Now, we can find the Selling Price after applying the discount.
- Selling Price (SP) = MP - Discount
- SP = \(135 - 30 = 105\) rupees

### Step 5: Calculate the Profit
Now, we will calculate the profit made by Ravi.
- Profit = SP - CP
- Profit = \(105 - 100 = 5\) rupees

### Step 6: Calculate the Profit Percentage
Finally, we will calculate the profit percentage.
- Profit Percentage = \(\left(\frac{\text{Profit}}{\text{CP}}\right) \times 100\)
- Profit Percentage = \(\left(\frac{5}{100}\right) \times 100 = 5\%\)

### Conclusion
Ravi makes a gain of \(5\%\).

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