Shekhar has purchased a cordless phone for Rs 3520 after getting 12% discount on the printed price. If he sold it to get 8% profit on the printed price, at what price did he sell the cordless phone?

Options

A. Rs3801.60
B. Rs4244
C. Rs4320
D. Rs3942.40

Answer

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

### Step 1: Determine the Printed Price
Let the printed price of the cordless phone be \( x \).

Given that Shekhar purchased the phone for Rs 3520 after a 12% discount on the printed price, we can express this mathematically as:
\[ x - \frac{12}{100} \times x = 3520 \]
This simplifies to:
\[ x \left(1 - \frac{12}{100}\right) = 3520 \]
\[ x \left(\frac{88}{100}\right) = 3520 \]

### Step 2: Solve for the Printed Price
Now, we can solve for \( x \):
\[ \frac{88}{100} x = 3520 \]
Multiplying both sides by \( \frac{100}{88} \):
\[ x = 3520 \times \frac{100}{88} \]
Calculating the right side:
\[ x = 3520 \times \frac{100}{88} = 3520 \times 1.13636 \approx 4000 \]
Thus, the printed price \( x \) is Rs 4000.

### Step 3: Calculate Selling Price for 8% Profit
Now, Shekhar wants to sell the phone for an 8% profit on the printed price. The selling price (SP) can be calculated as:
\[ SP = x + \frac{8}{100} \times x \]
This can be rewritten as:
\[ SP = x \left(1 + \frac{8}{100}\right) = x \left(\frac{108}{100}\right) \]
Substituting \( x = 4000 \):
\[ SP = 4000 \times \frac{108}{100} = 4000 \times 1.08 = 4320 \]

### Final Answer
The selling price at which Shekhar sold the cordless phone is Rs 4320.

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