A person has planned to sell his old type writer for ₹4500, he would lose 10%. To gain 20% of profit, he should sell it for :

Options

A. ₹6000
B. ₹7000
C. ₹7200
D. ₹8500

Answer

To solve the problem step by step, we need to find out the cost price of the typewriter first and then determine the selling price for a 20% profit.

### Step 1: Understand the loss situation
The person plans to sell the typewriter for ₹4500, which represents a 10% loss.

### Step 2: Calculate the cost price (CP)
If selling at a 10% loss means selling for 90% of the cost price, we can set up the equation:

\[ Selling Price (SP) = CP - (10\% \text{ of } CP) = 0.90 \times CP \]

Given that the selling price is ₹4500, we can write:

\[ 4500 = 0.90 \times CP \]

### Step 3: Solve for the cost price (CP)
To find the cost price, we rearrange the equation:

\[ CP = \frac{4500}{0.90} \]

Calculating this gives:

\[ CP = 5000 \]

### Step 4: Calculate the selling price for a 20% profit
To find the selling price for a 20% profit, we need to calculate 120% of the cost price:

\[ Selling Price (SP) = CP + (20\% \text{ of } CP) = 1.20 \times CP \]

Substituting the cost price we found:

\[ SP = 1.20 \times 5000 \]

Calculating this gives:

\[ SP = 6000 \]

### Conclusion
Therefore, to gain a 20% profit, the typewriter should be sold for ₹6000.

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