Ramesh bought a calculator with 20% discount on the tag price. He obtained 10% profit by selling it for Rs.440. What was the tag price ?

Options

A. Rs.500
B. Rs.400
C. Rs.480
D. Rs.360

Answer

To find the tag price of the calculator that Ramesh bought, we can follow these steps:

### Step 1: Understand the given information
Ramesh bought a calculator at a 20% discount and sold it for Rs. 440, making a 10% profit. We need to find the tag price (let's denote it as \( T \)).

### Step 2: Calculate the cost price (CP)
Since Ramesh bought the calculator at a 20% discount, the selling price (SP) of Rs. 440 represents a 10% profit over the cost price (CP).

The relationship between SP, CP, and profit is given by:
\[ SP = CP + \text{Profit} \]
Since the profit is 10% of the CP, we can express it as:
\[ SP = CP + 0.1 \times CP = 1.1 \times CP \]
Substituting the selling price:
\[ 440 = 1.1 \times CP \]

### Step 3: Solve for CP
To find the cost price (CP), we rearrange the equation:
\[ CP = \frac{440}{1.1} = 400 \]

### Step 4: Relate CP to the tag price
Now, we know that the cost price (CP) is 80% of the tag price (T) because Ramesh received a 20% discount. Thus, we can write:
\[ CP = 0.8 \times T \]
Substituting the value of CP we found:
\[ 400 = 0.8 \times T \]

### Step 5: Solve for the tag price (T)
Now, we can solve for T:
\[ T = \frac{400}{0.8} = 500 \]

### Conclusion
The tag price of the calculator is Rs. 500.