If selling price is Rs. 60 more than the cost price and profit is 15%, then what is the cost price(In Rs.)?

Options

A. 440
B. 460
C. 520
D. 400

Answer

To solve the problem step by step, we can follow these instructions:

### Step 1: Understand the relationship between Selling Price (SP), Cost Price (CP), and Profit.
- We know that Profit = Selling Price - Cost Price.
- Given that Selling Price is Rs. 60 more than Cost Price, we can write:
\[ SP = CP + 60 \]

### Step 2: Use the profit percentage to express the profit in terms of Cost Price.
- We are given that the profit is 15%.
- Profit can also be expressed as:
\[ Profit = \frac{15}{100} \times CP = 0.15 \times CP \]

### Step 3: Set up the equation using the two expressions for profit.
- From Step 1, we have:
\[ Profit = SP - CP = (CP + 60) - CP = 60 \]
- From Step 2, we have:
\[ Profit = 0.15 \times CP \]
- Now we can set these two expressions equal to each other:
\[ 0.15 \times CP = 60 \]

### Step 4: Solve for Cost Price (CP).
- To find CP, we can rearrange the equation:
\[ CP = \frac{60}{0.15} \]
- Now calculate the value:
\[ CP = 60 \div 0.15 = 400 \]

### Final Answer:
The Cost Price (CP) is Rs. 400.

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