Question

if an article is sold for rupees 29 the profit made is half the loss incurred when the same article is sold for rupees 20 find the original price of the article​

Answer 1

Answer:

The original price of the article​  is Rs. 26.

Step-by-step explanation:

The original selling price is, Rs. 29.

The new selling price is, Rs. 20.

Given:

The profit made is half the loss incurred when the same article is sold for rupees 20, i.e.

$Profit=\frac{1}{2}Loss\\SP_{O}-CP=\frac{1}{2}(CP-SP_{N})$

Let the cost price be Rs. x.

Determine the cost price as follows:

$SP_{O}-CP=\frac{1}{2}(CP-SP_{N})\\29-x=\frac{1}{2}(x-20)\\ 58-2x=x-20\\3x=78\\x=26$

Thus, the cost price of the article is Rs. 26.