A man buys a cycle for 1400 and sells it at a loss of 15%. What is the selling price of the cycle?

Options

A. 1202
B. 1190
C. 1160
D. 1000

Answer

To find the selling price of the cycle after a loss of 15%, we can follow these steps:

### Step 1: Identify the Cost Price (CP)
The cost price of the cycle is given as:
\[ \text{CP} = 1400 \]

### Step 2: Calculate the Loss Percentage
The loss percentage is given as:
\[ \text{Loss Percentage} = 15\% \]

### Step 3: Convert the Loss Percentage to Decimal
To calculate the loss in terms of money, we convert the percentage to a decimal:
\[ \text{Loss} = \frac{15}{100} = 0.15 \]

### Step 4: Calculate the Amount of Loss
Now, we calculate the actual amount of loss using the cost price:
\[ \text{Loss Amount} = \text{CP} \times \text{Loss} \]
\[ \text{Loss Amount} = 1400 \times 0.15 = 210 \]

### Step 5: Calculate the Selling Price (SP)
The selling price is calculated by subtracting the loss amount from the cost price:
\[ \text{SP} = \text{CP} - \text{Loss Amount} \]
\[ \text{SP} = 1400 - 210 = 1190 \]

### Final Answer
The selling price of the cycle is:
\[ \text{SP} = 1190 \]

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