14 Views

Question : The ratio of monthly incomes of A and B is 4 : 5 respectively. The ratio of monthly savings of A and B is 14 : 19 respectively. If the monthly expenditure of A and B is INR 1200 each, then what is the difference between the monthly incomes of A and B?

Option 1: INR 2000

Option 2: INR 4000

Option 3: INR 1000

Option 4: INR 5000


Team Careers360 11th Jan, 2024
Answer (1)
Team Careers360 17th Jan, 2024

Correct Answer: INR 1000


Solution : Given: The ratio of monthly incomes of A and B is 4: 5 respectively.
The ratio of monthly savings of A and B is 14: 19 respectively.
Let the ratio of monthly incomes of A and B be $4x: 5x$ respectively.
Let the ratio of monthly savings of A and B be $14y: 19y$ respectively.
Income = Saving + Expenditure
According to the question,
$4x=14y+1200$ (equation 1)
$5x=19y+1200$ (equation 2)
Subtract equation (1) from equation (2),
$5x–4x=19y+1200–(14y+1200)$
⇒ $x=19y+1200–14y–1200$
⇒ $x=5y$ (equation 3)
Substitute the above value in the equation (1),
$4\times 5y=14y+1200$
⇒ $20y=14y+1200$
⇒ $6y=1200$
⇒ $y=$ INR 200
From equation (3), $x=5\times 200=$ INR 1000.
The difference between the monthly incomes of A and B $=5x–4x=x=$ INR 1000
Hence, the correct answer is INR 1000.

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