1 View

Question : A shopkeeper allows a 20 percent discount on the marked price of an article and he suffers a loss of 5 percent. If the article is sold at marked price, then what will be the profit percentage?

Option 1: 8.33 percent

Option 2: 16.25 percent

Option 3: 18.75 percent

Option 4: 17.25 percent


Team Careers360 24th Jan, 2024
Answer (1)
Team Careers360 25th Jan, 2024

Correct Answer: 18.75 percent


Solution : Here, MP denotes the marked price, CP denotes the cost price.
Discount = 20%
Loss = 5%
$\frac{\text{MP}}{\text{CP}} = \frac{(100-\text{Loss})}{(100-\text{Discount})}$
⇒ $\frac{\text{MP}}{\text{CP}} = \frac{(100-5)}{(100-20)}$
⇒ $\frac{\text{MP}}{\text{CP}} = \frac{95}{80}= \frac{19}{16}$
If there is no discount, means discount = 0%, then profit %
$\frac{\text{MP}}{\text{CP}} = \frac{(100+\text{Profit})}{(100-\text{Discount})}$
⇒ $\frac{19}{16} = \frac{(100+\text{Profit})}{(100-0)}$
⇒ $\frac{19}{16} = \frac{(100+\text{Profit})}{100}$
⇒ $19\times{100}=16(100+\text{Profit})$
⇒ $1900 = 1600 + 16\times{\text{Profit%}}$
⇒ $16\times{\text{Profit%}} = 1900-1600=300$
⇒ $\text{Profit %} = 18.75\%$
Hence, the correct answer is 18.75 percent.

How to crack SSC CHSL

Candidates can download this e-book to give a boost to thier preparation.

Download Now

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
GRE ® Registrations 2024
Apply
Apply for GRE® Test now & save 10% with ApplyShop Gift Card | World's most used Admission Test for Graduate & Professional Schools
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