A's salary is half of B. If A got a 50% rise in his salary and B got a 25% rise in his salary,

GovtVacancy.Net
Posted on 19-12-2022

Ques - A's salary is half of B. If A got a 50% rise in his salary and B got a 25% rise in his salary, then the percentage increase in combined salaries of both is : 

(a) 30%

(b) 33.33%

(c) 55%

(d) 28%

Solution - 

Let,

B = 100

A = (100/2)

A = 50

A got a 50% rise in his salary = A + 50% of A

= A + (50% × A )

= 50 + (50% × 50 )

= 50 + [(50/100) × 50]

= 50 + 25

= 75

B got a 25% rise in his salary = B + 25% of B

= B + (25% × B)

= 100 + (25% × 100)

= 100 + 25

= 125

Combined original Salary of A and B = A + B 

= 50 + 100

= 150

Combined New Salary of A and B = 75 + 125

= 200

The percentage increase in combined salaries of both = [(New salary of both - original salary of both) / original salary of both] × 100

= [(200 - 150)/150] × 100

= [50/150] × 100

= 33.33

Hence,

The correct option is (b) 33.33%

Thank You

Download App for Free PDF Download

GovtVacancy.Net Android App: Download

government vacancy govt job sarkari naukri android application google play store https://play.google.com/store/apps/details?id=xyz.appmaker.juptmh