What price should Suneeta marked on a Saree which costs Rs 2,200 so as to gain `26%` after allowing a discount of `12%`

Options

A. Rs 3,050
B. Rs 3,075
C. Rs 3,150
D. Rs 3,175

Answer

To find the marked price (MP) of the saree that Suneeta should set in order to gain 26% after allowing a discount of 12%, we can follow these steps:

### Step 1: Calculate the Selling Price (SP)
The selling price can be calculated based on the cost price (CP) and the desired gain percentage.

Given:
- Cost Price (CP) = Rs 2,200
- Gain Percentage = 26%

The formula for selling price when gain is involved is:
\[ SP = CP + \left(\frac{Gain \%}{100} \times CP\right) \]

Substituting the values:
\[ SP = 2200 + \left(\frac{26}{100} \times 2200\right) \]
\[ SP = 2200 + 572 \]
\[ SP = 2772 \]

### Step 2: Relate Selling Price to Marked Price
The selling price is also related to the marked price and the discount allowed.

Given:
- Discount Percentage = 12%

The formula for selling price when discount is involved is:
\[ SP = MP - \left(\frac{Discount \%}{100} \times MP\right) \]

This can be rewritten as:
\[ SP = MP \left(1 - \frac{Discount \%}{100}\right) \]

Substituting the discount percentage:
\[ SP = MP \left(1 - \frac{12}{100}\right) \]
\[ SP = MP \left(0.88\right) \]

### Step 3: Set the Two Expressions for SP Equal
Now, we can set the two expressions for SP equal to each other:
\[ 2772 = MP \times 0.88 \]

### Step 4: Solve for Marked Price (MP)
To find the marked price, we can rearrange the equation:
\[ MP = \frac{2772}{0.88} \]
\[ MP = 3150 \]

### Conclusion
The marked price that Suneeta should set on the saree is Rs 3,150.

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