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Suresh purchased a TV set for Rs11250. H...

Suresh purchased a TV set for Rs11250. He spent Rs800 on installation and Rs150 on transportation. At what price should it be sold so that the profit earned would have been 15%, if no discount was offered?

A

Rs 12938

B

Rs 14030

C

Rs 14350

D

Rs 1546

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem step by step, we will first calculate the total cost price of the TV set including installation and transportation costs. Then, we will determine the selling price required to achieve a profit of 15%. ### Step 1: Calculate the Total Cost Price (CP) - **Cost Price of TV** = Rs 11,250 - **Installation Cost** = Rs 800 - **Transportation Cost** = Rs 150 **Total Cost Price (CP) = Cost Price of TV + Installation Cost + Transportation Cost** \[ \text{Total CP} = 11250 + 800 + 150 = 12800 \] ### Step 2: Calculate the Selling Price (SP) for a 15% Profit To find the selling price that includes a 15% profit, we use the formula: \[ \text{Selling Price (SP)} = \text{Total CP} + \text{Profit} \] Where Profit can be calculated as: \[ \text{Profit} = \frac{15}{100} \times \text{Total CP} \] Calculating the profit: \[ \text{Profit} = \frac{15}{100} \times 12800 = 0.15 \times 12800 = 1920 \] Now, we can find the Selling Price: \[ \text{SP} = \text{Total CP} + \text{Profit} = 12800 + 1920 = 14720 \] ### Step 3: Conclusion Thus, the selling price at which Suresh should sell the TV to earn a profit of 15% is Rs 14,720. ### Final Answer: **Selling Price = Rs 14,720** ---
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