Flipkart offers a variety of discount that ranges from 25% to 40%, both inclusive . If a mobile phone is discounted to a price of Rs. 27000, then its greatest possible original price was:

Options

A. Rs 40,000
B. Rs 42000
C. Rs 45000
D. Rs 47000

Answer

To find the greatest possible original price of the mobile phone after a discount, we can follow these steps:

### Step 1: Understand the Discount
The mobile phone is discounted to Rs. 27,000. The maximum discount offered is 40%. This means that if the original price is \( P \), then after a 40% discount, the selling price is 60% of the original price.

### Step 2: Set Up the Equation
If the original price is \( P \), then after a 40% discount, the price can be expressed as:
\[ \text{Selling Price} = P - (0.40 \times P) = 0.60 \times P \]
Given that the selling price is Rs. 27,000, we can set up the equation:
\[ 0.60 \times P = 27,000 \]

### Step 3: Solve for Original Price
To find \( P \), we can rearrange the equation:
\[ P = \frac{27,000}{0.60} \]
Calculating this gives:
\[ P = 27,000 \div 0.60 = 45,000 \]

### Step 4: Conclusion
Thus, the greatest possible original price of the mobile phone is Rs. 45,000.