15 Views

Question : The income of A is 80% of B's income and the expenditure of A is 60% of B's expenditure. If the income of A is equal to 90% of B's expenditure, then by what percentage are the savings of A more than B's savings?

Option 1: 125%

Option 2: 140%

Option 3: 100%

Option 4: 150%


Team Careers360 6th Jan, 2024
Answer (1)
Team Careers360 12th Jan, 2024

Correct Answer: 140%


Solution : The income of A is 80% of B's income.
The expenditure of A is 60% of B's expenditure.
The income of A is equal to 90% of B's expenditure.
Let the income of B be $100\text{x}$.
So,
Income of A $= (100\text{x} × \frac{80}{100})= 80\text{x}$
For B's expenditure
90% of B's expenditure = A's income
$\therefore$ B's expenditure $= \frac{100}{90} × 80\text{x}= (\frac{100\times8\text{x}}{9})=  \frac{800\text{x}}{9}$
For A's expenditure
A's expenditure = 60% of B's expenditure $= ( \frac{60}{100}\times \frac{800\text{x}}{9})
= \frac{160\text{x}}{3}$
Now,
Savings of A = Income of A – Expenditure of A $= (80x - \frac{160\text{x}}{3})
= \frac{240\text{x} - 160\text{x}}{3}
= \frac{80\text{x}}{3}$
Now,
Savings of B =  Income of B – Expenditure of B $= (100\text{x} – \frac{800\text{x}}{9})
= \frac{900\text{x} - 800\text{x}}{9}
= \frac{100\text{x}}{9}$
Now,
Required percentage increase
= $\frac{(\frac{80\text{x}}{3}-\frac{100\text{x}}{9})}{(\frac{100\text{x}}{9})}\times 100$
= $\frac{(\frac{240\text{x}-100\text{x}}{9})}{(\frac{100\text{x}}{9})}\times 100$
= $(\frac{140\text{x}}{9}\times \frac{9}{100\text{x}}\times 100)$
= $140\%$
Hence, the correct answer is 140%.

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