Given:
- The shopkeeper offers a 10% discount on the marked price of an article.
- The shopkeeper still makes a profit of 26% on the cost price.

To Find:
The cost price of an article marked at ₹280.

Assumptions:
- The profit percentage is calculated on the cost price.
- The discount is applied after calculating the profit.

Solution:

Step 1: Calculate the Selling Price (SP) after the discount:
Given that the article is marked at ₹280 and a 10% discount is offered, we can calculate the selling price (SP) after the discount as follows:

SP = Marked Price - Discount
SP = ₹280 - (10% of ₹280)
SP = ₹280 - (0.10 * ₹280)
SP = ₹280 - ₹28
SP = ₹252

Therefore, the selling price after the discount is ₹252.

Step 2: Calculate the Cost Price (CP) using the profit percentage:
Given that the shopkeeper makes a profit of 26% on the cost price, we can calculate the cost price (CP) as follows:

Profit = Profit Percentage * Cost Price
26% of CP = SP - CP
26% of CP = ₹252 - CP

To eliminate the percentage, we can convert it to a decimal:
26% = 26/100 = 0.26

0.26 * CP = ₹252 - CP
1.26 * CP = ₹252
CP = ₹252 / 1.26
CP = ₹200

Therefore, the cost price of the article is ₹200.

Summary:
- The selling price of the article after a 10% discount is ₹252.
- The cost price of the article is ₹200.
- The shopkeeper makes a profit of ₹52 on the cost price of ₹200, which is equivalent to a profit percentage of 26%.

HTML Representation:

Given:

• The shopkeeper offers a 10% discount on the marked price of an article.


• The shopkeeper still makes a profit of 26% on the cost price.

To Find:
The cost price of an article marked at ₹280.

Assumptions:

• The profit percentage is calculated on the cost price.


• The discount is applied after calculating the profit.

Solution:

Step 1: Calculate the Selling Price (SP) after the discount:






Step 2: Calculate the Cost Price (CP) using the profit percentage:




26% = 26

Cp = 200