2 Views

Question : An article is marked 25% above its cost price. If $x$% discount is allowed on the marked price and still there is a profit of 5.5%, then what is the value of $x$?

Option 1: 16.4

Option 2: 15.4

Option 3: 13.6

Option 4: 15.6


Team Careers360 20th Jan, 2024
Answer (1)
Team Careers360 22nd Jan, 2024

Correct Answer: 15.6


Solution : Given,
An article is Marked 25% above the cost price.
After giving $x$% discount still makes a profit of 5.5%.
We know,
SP = [$\frac{100 + \text{gain percentage}}{100}$] × CP
And, SP = [MP – (MP × discount percentage)]
Let the cost price of the article be 100 units.
According to the question,
The selling price of the article is
= $[\frac{100 + 5.5}{100}] × 100$
= 105.5 units
The Marked price of the article is
= [100 + (100 × 25%)]
= 100 + 25
= 125 units
Also,
The selling price of the article is = 105.5
⇒ [125 – (125 × $x$%)] = 105.5
⇒ 125 – $\frac{5x}{4}$ = 105.5
⇒ $\frac{5x}{4}$ = 19.5
⇒ $x = \frac{19.5 × 4}{5}$
⇒ $x = 15.6$
Hence, the correct answer is 15.6.

SSC CGL Complete Guide

Candidates can download this ebook to know all about SSC CGL.

Download EBook

Know More About

Related Questions

TOEFL ® Registrations 2024
Apply
Accepted by more than 11,000 universities in over 150 countries worldwide
Manipal Online M.Com Admissions
Apply
Apply for Online M.Com from Manipal University
View All Application Forms

Download the Careers360 App on your Android phone

Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile

150M+ Students
30,000+ Colleges
500+ Exams
1500+ E-books