Question

The cost price of an item is Rs.150. If Harish gives a discount of \(20\%\) on the marked price of the item, then there is no profit and no loss. What is the marked price of the item?

• A. Rs.187.5
• B. Rs.175
• C. Rs.200
• D. Rs.192.5

Answer 1

The Correct Option is A

Marked Price Calculation 

Step 1: Define the Variables

Let the marked price of the item be x.

The cost price is Rs. 150.

Harish gives a 20% discount on the marked price, so the selling price is 80% of the marked price.

Step 2: Set up the Equation

Since there is no profit and no loss, the selling price is equal to the cost price. Thus, we can write the equation:

\[ \text{Selling price} = 80\% \times \text{Marked price} = 150 \]

Step 3: Solve for the Marked Price

Simplifying the equation:

\[ 0.8x = 150 \] Solving for x: \[ x = \frac{150}{0.8} = 187.5 \]

Final Answer:

The marked price of the item is Rs. 187.5.

Conclusion:

The correct answer is (a) Rs. 187.5.