A person A sells a table costing Rs. 2000 to a person B and earns a profit of `6%`. The person B sells it to another person C at a loss of `5%`. At what price did B sell the table ?

Options

A. Rs. 2054
B. Rs. 2050
C. Rs. 2024
D. Rs. 2014

Answer

To solve the problem step by step, we will first calculate the selling price (SP) of the table when person A sells it to person B, and then we will find out the selling price when person B sells it to person C.

### Step 1: Calculate the Selling Price of A to B

1. **Cost Price (CP) of the table for A**: Rs. 2000
2. **Profit percentage**: 6%

To find the Selling Price (SP) when A sells to B, we use the formula:

\[ \text{SP} = \text{CP} + \left(\frac{\text{Profit \%}}{100} \times \text{CP}\right) \]

Substituting the values:

\[ \text{SP} = 2000 + \left(\frac{6}{100} \times 2000\right) \]

Calculating the profit amount:

\[ \text{Profit} = \frac{6}{100} \times 2000 = 120 \]

Now, substituting back into the SP formula:

\[ \text{SP} = 2000 + 120 = 2120 \]

So, the Selling Price of A to B is **Rs. 2120**.

### Step 2: Calculate the Selling Price of B to C

1. **Cost Price (CP) of the table for B**: Rs. 2120 (which is the SP from Step 1)
2. **Loss percentage**: 5%

To find the Selling Price (SP) when B sells to C, we use the formula:

\[ \text{SP} = \text{CP} - \left(\frac{\text{Loss \%}}{100} \times \text{CP}\right) \]

Substituting the values:

\[ \text{SP} = 2120 - \left(\frac{5}{100} \times 2120\right) \]

Calculating the loss amount:

\[ \text{Loss} = \frac{5}{100} \times 2120 = 106 \]

Now, substituting back into the SP formula:

\[ \text{SP} = 2120 - 106 = 2014 \]

So, the Selling Price of B to C is **Rs. 2014**.

### Final Answer:
B sells the table to C for **Rs. 2014**.

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