Question

a seller sells an articles at a discount of 12 percent but still make profit of 28 percent find his actual profit of ₹308 find; the cost price of the article the the selling price of article ; the marked price of the article​

Answer 1

Let the CP of the article be x.

If the person sells the article of 12% Profit, then SP of the article = x × (112/100)

If the person had purchased the article for 12% less, the new CP of the article = x × (88/100)

According to the question

⇒ [(112x/100) – 9] – (88x/100) = (27/100) × (88x/100)

⇒ 1.12x – 9 – 0.88x = 0.2376x

⇒ 1.12x – 1.1176x = 9

⇒ x = 9/0.0024 = 3750

Alternate solution∶

Let the cost price of the article be Rs. 100.

⇒ Selling price would be Rs. 112.

New cost price (12% less) = Rs 88

New selling price (27% profit) = 127% of 88 = Rs. 111.76

Now, the difference between both selling prices = 112 – 111.76 = Rs. 0.24

When the difference is 0.24, CP = Rs. 100

When the difference is 9, CP = 100 × 9/0.24 = Rs. 3750

Hence the cost price of the article is Rs. 3750