The marked price of a cycle is Rs. 36800. If 24% discount is given, then what will be the selling price (in Rs.) of the cycle ?

Options

A. 26168
B. 27168
C. 27968
D. 28142

Answer

To find the selling price of the cycle after a 24% discount on the marked price of Rs. 36,800, follow these steps:

### Step 1: Identify the Marked Price
The marked price (MP) of the cycle is given as Rs. 36,800.

**Hint:** The marked price is the original price before any discounts are applied.

### Step 2: Calculate the Discount Percentage
The discount given is 24%. To find the selling price, we need to determine what percentage of the marked price remains after the discount.

**Hint:** To find the remaining percentage after a discount, subtract the discount percentage from 100%.

Remaining percentage = 100% - 24% = 76%.

### Step 3: Calculate the Selling Price
Now, we can calculate the selling price (SP) using the remaining percentage.

\[ SP = \left( \frac{76}{100} \right) \times \text{Marked Price} \]

Substituting the marked price:

\[ SP = \left( \frac{76}{100} \right) \times 36,800 \]

### Step 4: Simplify the Calculation
To simplify the calculation, we can first multiply:

\[ SP = 76 \times 368 \]

**Hint:** You can simplify the fraction by canceling out common factors before multiplying.

### Step 5: Perform the Multiplication
Now, calculate \(76 \times 368\):

\[ 76 \times 368 = 27,968 \]

### Step 6: Conclusion
Thus, the selling price of the cycle after applying the discount is Rs. 27,968.

**Final Answer:** The selling price of the cycle is Rs. 27,968.

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