17 Views

Question : Soham’s initial expenditure and savings were in the ratio of 5 : 3. His income increased by 25%. If his initial savings were Rs. 4,500, find his income (in Rs.) after the increment.

Option 1: 16,000

Option 2: 15,000

Option 3: 9,375

Option 4: 12,000


Team Careers360 4th Jan, 2024
Answer (1)
Team Careers360 8th Jan, 2024

Correct Answer: 15,000


Solution : Let denote the initial expenditure as $E$, initial savings as $S$, and the initial income as $I$.
Given that the ratio of expenditure to savings is 5 : 3.
$E : S = 5 : 3$
⇒ $E = \frac{5}{3}S$
$I = E + S$
⇒ $I = \frac{5}{3}S + S = \frac{8}{3}S$
The initial savings S were Rs. 4,500.
So, $I = \frac{8}{3} \times 4500 = 12,000$
The income increases by 25%, the income after the increment $I'$.
$I' = I + 0.25I = 12000 + 0.25 \times 12000 =$ Rs. 15,000
Hence, the correct answer is 15,000.

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
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