722 Views

Question : Aditya sold Article X at a profit of 23% and Article Y at a loss of 13%. He earned a profit of INR 180 in the entire transaction. If article X costs INR 90 less than article Y, then what is the price of article Y (in INR)?

Option 1: 2,100

Option 2: 2,007

Option 3: 2,020

Option 4: 2,050


Team Careers360 21st Jan, 2024
Answer (1)
Team Careers360 22nd Jan, 2024

Correct Answer: 2,007


Solution : Let the cost price of Y be $x$.
Cost price of X = $x-90$
Profit of X = 23% of $x-90 = 0.23x - 20.7$
Loss of Y = 13% of $x = 0.13x$
Net profit = $0.23x - 20.7 - 0.13x = 0.1x - 20.7$
So, $180 = 0.1x - 20.7$
⇒ $0.1x = 180 + 20.7 = 200.7$
⇒ $x = 2007$
Hence, the correct answer is 2007.

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