158 Views

Question : 65% of Samita's income is equal to 91% of Bhairav's income. If Samita's income was INR 1,500 more than what it is and Bhainav's income was INR 500 more than what it is, the ratio of the incomes of Samita and Bhairav would have been 3 : 2. What is the actual combined income (in INR) of Samita and Bhairav?

Option 1: 18,500

Option 2: 17,500

Option 3: 20,000

Option 4: 18,000


Team Careers360 23rd Jan, 2024
Answer (1)
Team Careers360 25th Jan, 2024

Correct Answer: 18,000


Solution : Let the income of Samita and Bhairav be $x$ and $y$ respectively.
According to the question,
$65\%\text{ of }x=91\%\text{ of }y$
⇒ $\frac{65}{100}\text{ of }x=\frac{91}{100}\text{ of }y$
⇒ $65x=91y$
⇒ $x=\frac{91}{65}y$..............(1)
Also according to the question,
$(x+1500):(y+500)=3:2$
⇒ $\frac{x+1500}{y+500}=\frac{3}{2}$
⇒ $2(x+1500)=3(y+500)$
⇒ $2x+3000=3y+1500$
⇒ $3y-2x=1500$
Putting value $x$ from equation (1), we get,
⇒ $3y-2(\frac{91}{65}y)=1500$
⇒ $\frac{195y-182y}{65}=1500$
⇒ $13y=1500\times 65$
⇒ $y=\frac{1500\times 65}{13}$
⇒ $y=1500\times 5=\small\text{INR}$ $7500$ [Bhairav's Income]
Also, $x=\frac{91}{65}=\frac{91}{65}\times 7500=\small\text{INR}$ $10500$ [Samita's Income]
⇒ Combined income of Samita and Bhairav = INR 10,500 + INR 7,500 = INR 18,000
Hence, the correct answer is 18,000.

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
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