A man sells calculator at the rate of ₹ 250 each which includes a profit of 14%.What amount of profit will he earn in 19 days, if he sells seven calculators per day ?

Options

A. ₹ 4665
B. ₹ 4565
C. ₹ 4545
D. None of the above

Answer

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

### Step 1: Determine the Selling Price and Profit Percentage
The selling price (SP) of one calculator is given as ₹250, and the profit percentage is 14%.

### Step 2: Calculate the Cost Price (CP)
To find the cost price (CP), we can use the formula:
\[ CP = \frac{100}{100 + \text{Profit Percentage}} \times SP \]
Substituting the values:
\[ CP = \frac{100}{100 + 14} \times 250 \]
\[ CP = \frac{100}{114} \times 250 \]
\[ CP = \frac{25000}{114} \approx 219.30 \]

### Step 3: Calculate the Profit per Calculator
Now, we can calculate the profit earned on each calculator:
\[ \text{Profit} = SP - CP \]
Substituting the values:
\[ \text{Profit} = 250 - 219.30 \approx 30.70 \]

### Step 4: Calculate the Total Profit in 19 Days
The man sells 7 calculators per day. Therefore, in 19 days, he sells:
\[ \text{Total calculators sold} = 7 \times 19 = 133 \]
Now, we can calculate the total profit earned in 19 days:
\[ \text{Total Profit} = \text{Profit per calculator} \times \text{Total calculators sold} \]
Substituting the values:
\[ \text{Total Profit} = 30.70 \times 133 \approx 4073.10 \]

### Final Answer
The total profit earned by the man in 19 days is approximately ₹4073.10.

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