Ravi sold goods for ₹ 6250 and made a profit of 25% in the process. What would have been his profit percent if he had sold the same goods for ₹ 6000?

Options

A. `10%`
B. `15%`
C. `20%`
D. `5%`

Answer

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

### Step 1: Find the Cost Price (CP)
Given that Ravi sold goods for ₹6250 and made a profit of 25%, we can use the formula for selling price (SP) in terms of cost price (CP) and profit percentage:

\[ SP = CP + (Profit \% \times CP) \]

This can be rewritten as:

\[ SP = CP \times \left(1 + \frac{Profit \%}{100}\right) \]

Substituting the values we have:

\[ 6250 = CP \times \left(1 + \frac{25}{100}\right) \]

This simplifies to:

\[ 6250 = CP \times \left(1 + 0.25\right) = CP \times 1.25 \]

Now, we can solve for CP:

\[ CP = \frac{6250}{1.25} \]

Calculating this gives:

\[ CP = 5000 \]

### Step 2: Calculate the Profit when Selling Price is ₹6000
Now, if Ravi sells the goods for ₹6000, we need to find the profit:

\[ Profit = SP - CP \]

Substituting the values we have:

\[ Profit = 6000 - 5000 = 1000 \]

### Step 3: Calculate the Profit Percentage
To find the profit percentage when selling for ₹6000, we use the formula:

\[ Profit\% = \left(\frac{Profit}{CP}\right) \times 100 \]

Substituting the values:

\[ Profit\% = \left(\frac{1000}{5000}\right) \times 100 \]

Calculating this gives:

\[ Profit\% = 0.2 \times 100 = 20\% \]

### Final Answer
If Ravi had sold the goods for ₹6000, his profit percentage would have been **20%**.

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