Question

1. Profit after selling an article for 425 is the
same as loss after selling it for 355. The cost
of the article is​

Answer 1

Given:

An article with

• Profit after selling = Rs. 425
• Loss after selling = Rs. 355

What To Find:

We have to find the cost price of the article.

Solution:

We know that,

→ Rs. 425 (Profit) = Rs. 355 (Loss)

Let the CP of the article be Rs. x.

So now,

According to the given question,

The equation will be,

⇒ Profit - CP = CP - Loss

Substitute the values,

⇒ Rs. 425 - Rs. x = Rs. x - Rs. 355

Take x to RHS,

⇒ 425 = 355 + x + x

Add x and x,

⇒ 425 = 355 + 2x

Take 355 to LHS,

⇒ 425 + 355 = 2x

Add 355 and 425,

⇒  780 = 2x

Take 2 to LHS,

⇒ 780/2 = x

Divide 780 by 2,

⇒ 390 = x

Final Answer:

∴ Therefore, the cost price of the article is Rs. 390.