Question

The selling price of an article is ₹ 24. If cost price is ₹ x and loss is x%.

Statement (1): x − x% of ₹ 24 = 24.

Statement (2): x − x% of x = 24.

Options

• Both the statements are true.

• Both the statements are false.

• Statement 1 is true, and statement 2 is false.

• Statement 1 is false, and statement 2 is true.

Answer 1

Statement 1 is false, and statement 2 is true.

Explanation: 

Given,

C.P. = ₹ x

S.P. = ₹ 24

Loss% = x%

Using the formula, Loss = C.P. − S.P.

⇒ S.P. = C.P. − Loss

⇒ S.P. = C.P. − Loss% of C.P.

Substituting the values, we get

⇒ 24 = x − x% of x

So, statement 2 is true.