SSC GD 2024 PYQ — Question 43

SSC GD Const (English) - 20 Feb 2024 - Shift 3 • Quantitative Aptitude • Q43

If selling price of a table is 25 percent of its cost price, then what is the loss percentage?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e.  75 percent.

Let the cost price of the table = CP

The selling price = SP

SP = 25% of the cost price

so;

⇒ SP = 25% × CP = 25/100 ​× CP = 1/4 ​× CP

⇒ SP = CP/4

Loss = CP − SP

⇒ Loss = CP − CP/4 ​= 4CP/4 ​ − CP/4 ​ = 3CP/4

Loss Percentage = Loss/CP ​× 100​

⇒ Loss Percentage = (3CP/4)/CP ​× 100 = 3/4 ​× 100 = 75%