After giving a discount of 44% a cycle is sold for Rs 17920. What is the marked price (in Rs) of the cycle?

Options

A. 28000
B. 31500
C. 32000
D. 35000

Answer

To find the marked price of the cycle after a discount of 44% has been applied, we can follow these steps:

### Step 1: Understand the relationship between marked price, discount, and selling price.
The selling price (SP) after a discount is given by the formula:
\[ SP = MP - (Discount \% \times MP) \]
Where:
- SP = Selling Price
- MP = Marked Price
- Discount % = 44%

### Step 2: Express the selling price in terms of the marked price.
Since the discount is 44%, the selling price can also be expressed as:
\[ SP = MP \times (1 - \frac{Discount \%}{100}) \]
Substituting the discount percentage:
\[ SP = MP \times (1 - 0.44) \]
\[ SP = MP \times 0.56 \]

### Step 3: Substitute the selling price into the equation.
We know that the selling price is Rs 17,920, so we can set up the equation:
\[ 17920 = MP \times 0.56 \]

### Step 4: Solve for the marked price (MP).
To find the marked price, we rearrange the equation:
\[ MP = \frac{17920}{0.56} \]

### Step 5: Calculate the marked price.
Now we perform the calculation:
\[ MP = \frac{17920}{0.56} = 32000 \]

### Conclusion:
The marked price of the cycle is Rs 32,000.

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