Question

The cost price of a TV is Rs.7,272. The seller wants to sell it at \(30\%\) profit, and at the same time he wants to offer consecutive discounts of \(20\%\) and \(10\%\). What should be the marked price of the TV so that he is able to earn \(30\%\) profit

• A. Rs.11,110
• B. Rs.10,000
• C. Rs.13,130
• D. Rs.12,120

Answer 1

The Correct Option is C

Marked Price Calculation for TV

- Let the marked price of the TV be M. 

- The seller wants a 30% profit, so the selling price of the TV should be:

\[ \text{Selling Price} = \text{Cost Price} + 30\% \times \text{Cost Price} \] \[ = 7,272 + 0.30 \times 7,272 = 7,272 \times 1.3 = 9,454 \]

- The TV is then offered two consecutive discounts of 20% and 10%.

- The price after the first discount (20% off) will be:

\[ \text{Price after 1st discount} = M \times (1 - 0.2) = M \times 0.8 \]

- The price after the second discount (10% off) will be:

\[ \text{Price after 2nd discount} = M \times 0.8 \times (1 - 0.1) = M \times 0.8 \times 0.9 = M \times 0.72 \]

- Since the selling price after both discounts must be equal to Rs. 9,454, we have:

\[ M \times 0.72 = 9,454 \]

- Solving for M:

\[ M = \frac{9,454}{0.72} = 13,130 \]

Thus, the marked price of the TV should be Rs. 13,130.

Conclusion: The correct answer is Rs. 13,130.