Selling price of a glass is Rs.1965 and loss per cent is 25%. If selling price is Rs. 3013, then what will be the profit per cent?

Options

A. 13
B. 10.4
C. 15
D. 20

Answer

To solve the problem step by step, we need to find the cost price (CP) of the glass first, using the information about the selling price (SP) and the loss percentage. Then, we will calculate the profit percentage when the selling price is Rs. 3013.

### Step 1: Calculate the Cost Price (CP) from the first selling price and loss percentage.
Given:
- Selling Price (SP) = Rs. 1965
- Loss Percentage = 25%

Since a loss of 25% means that the selling price is 75% of the cost price, we can express this mathematically as:
\[ SP = CP \times \left(1 - \frac{\text{Loss \%}}{100}\right) \]
\[ 1965 = CP \times \left(1 - \frac{25}{100}\right) \]
\[ 1965 = CP \times 0.75 \]

Now, we can solve for CP:
\[ CP = \frac{1965}{0.75} \]
\[ CP = 1965 \div 0.75 \]
\[ CP = 2610 \]

### Step 2: Calculate the Profit Percentage for the second selling price.
Now, we have:
- Cost Price (CP) = Rs. 2610
- New Selling Price (SP) = Rs. 3013

To find the profit percentage, we first calculate the profit:
\[ \text{Profit} = SP - CP \]
\[ \text{Profit} = 3013 - 2610 \]
\[ \text{Profit} = 403 \]

Now, we can calculate the profit percentage using the formula:
\[ \text{Profit Percentage} = \left(\frac{\text{Profit}}{CP}\right) \times 100 \]
\[ \text{Profit Percentage} = \left(\frac{403}{2610}\right) \times 100 \]
\[ \text{Profit Percentage} = 0.1543 \times 100 \]
\[ \text{Profit Percentage} \approx 15.43\% \]

### Final Answer:
The profit percentage when the selling price is Rs. 3013 is approximately **15.43%**.

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