8 Views

Question : If an article is sold at $\frac{9}{10}th$ of its usual selling price, 20% profit would be made on it. Find the profit percentage which would have been made on it on selling it at its usual selling price.

Option 1: 33.33%

Option 2: 25%

Option 3: 30%

Option 4: 20%


Team Careers360 2nd Jan, 2024
Answer (1)
Team Careers360 15th Jan, 2024

Correct Answer: 33.33%


Solution : Let the selling price be $100x$.
The article is sold at $\frac{9}{10}$th of its usual selling price, and a 20% profit is made.
Then the new selling price = $\frac{9}{10} \times 100x = 90x$
Selling price = $\frac{100+ Profit\%}{100}×$ cost price
⇒ $90x$ = $\frac{100+20}{100} \times$ cost price
⇒ Cost price = $\frac{90x\times 10}{12}$
⇒ Cost price = $75x$
Now the article is sold at the actual price which is $100x$, so the profit percentage will be
Profit% = $[\frac{SP - CP}{CP}] \times100$
$=\frac{(100x-75x)}{75x} \times 100$
$=\frac{(25x)}{75x} \times 100$
$=\frac{1}{3} × 100$
$=33.33$%
Hence, the correct answer is 33.33%.

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