A shopkeeper bought 150 calculators at the rate of Rs. 250 per calculator. He spent Rs. 2500 on transportation and packing. If the marked price of calculator is Rs. 320 per calculator and the shopkeeper gives a discount of 5% on the marked price then what will be the percentage profit gained by the shopkeeper?

Options

A. 0.2
B. 0.14
C. 0.15
D. 0.16

Answer

To solve the problem step by step, we will calculate the cost price, selling price, and then determine the percentage profit.

### Step 1: Calculate the Total Cost Price (CP)
The shopkeeper bought 150 calculators at Rs. 250 each.

\[ \text{Total Cost Price} = \text{Number of Calculators} \times \text{Cost per Calculator} \]
\[ \text{Total Cost Price} = 150 \times 250 = 37500 \text{ Rs.} \]

Next, we add the transportation and packing cost of Rs. 2500.

\[ \text{Final Cost Price} = \text{Total Cost Price} + \text{Transportation and Packing Cost} \]
\[ \text{Final Cost Price} = 37500 + 2500 = 40000 \text{ Rs.} \]

### Step 2: Calculate the Marked Price (MP) and Selling Price (SP)
The marked price of one calculator is Rs. 320. Therefore, the total marked price for 150 calculators is:

\[ \text{Total Marked Price} = \text{Number of Calculators} \times \text{Marked Price} \]
\[ \text{Total Marked Price} = 150 \times 320 = 48000 \text{ Rs.} \]

The shopkeeper gives a discount of 5% on the marked price. First, we calculate the total discount:

\[ \text{Total Discount} = \text{Total Marked Price} \times \frac{5}{100} \]
\[ \text{Total Discount} = 48000 \times 0.05 = 2400 \text{ Rs.} \]

Now, we can find the final selling price after applying the discount:

\[ \text{Final Selling Price} = \text{Total Marked Price} - \text{Total Discount} \]
\[ \text{Final Selling Price} = 48000 - 2400 = 45600 \text{ Rs.} \]

### Step 3: Calculate the Profit
Now we can find the profit made by the shopkeeper:

\[ \text{Profit} = \text{Final Selling Price} - \text{Final Cost Price} \]
\[ \text{Profit} = 45600 - 40000 = 5600 \text{ Rs.} \]

### Step 4: Calculate the Percentage Profit
Finally, we calculate the percentage profit:

\[ \text{Percentage Profit} = \left(\frac{\text{Profit}}{\text{Final Cost Price}}\right) \times 100 \]
\[ \text{Percentage Profit} = \left(\frac{5600}{40000}\right) \times 100 = 14\% \]

### Conclusion
The percentage profit gained by the shopkeeper is **14%**.

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