To dispose of the old stocks, a person sold a tea-set for Rs. 3,540, which was 41% below the cost price. In order to make a profit of 11% the seller should have sold the set for _______more.

Options

A. 2664.42
B. 2460
C. `1812.60`
D. 3120

Answer

To solve the problem step by step, we need to find out how much more the seller should have sold the tea-set for in order to make an 11% profit.

### Step 1: Identify the Selling Price (SP)
The selling price of the tea-set is given as Rs. 3,540.

### Step 2: Calculate the Cost Price (CP)
Since the selling price is 41% below the cost price, we can express this relationship mathematically. If CP is the cost price, then:

\[ SP = CP - (41\% \text{ of } CP) \]

This can be rewritten as:

\[ SP = CP \times (1 - 0.41) = CP \times 0.59 \]

Now, substituting the selling price:

\[ 3,540 = CP \times 0.59 \]

To find the cost price (CP), we rearrange the equation:

\[ CP = \frac{3,540}{0.59} \]

Calculating this gives:

\[ CP = 6,000 \]

### Step 3: Calculate the Desired Selling Price for 11% Profit
To find the selling price that would yield an 11% profit, we first need to calculate 11% of the cost price:

\[ \text{Profit} = 11\% \text{ of } CP = 0.11 \times 6,000 \]

Calculating this gives:

\[ \text{Profit} = 660 \]

Now, we can find the new selling price (SP'):

\[ SP' = CP + \text{Profit} \]
\[ SP' = 6,000 + 660 = 6,660 \]

### Step 4: Calculate the Difference in Selling Prices
Now, we need to find out how much more the seller should have sold the tea-set for:

\[ \text{Difference} = SP' - SP \]
\[ \text{Difference} = 6,660 - 3,540 \]
\[ \text{Difference} = 3,120 \]

### Final Answer
The seller should have sold the set for Rs. 3,120 more in order to make an 11% profit.

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