Question

The salary of a, b,c are in ratio 2:3:5.if the increments of 15% ,10%,&20% are allowed respectively in their salary ,then what will be new ratio of their salary

Answer 1

let the salary of a, b and c be 2x, 3x and 5x respectively

so,

after increment
salary of a = 2x + 15% of 2x = 2x + 15/100×2x = 2x + 3x/10 = 23x/10

salary of b = 3x + 10% of 3x = 3x + 10/100×3x = 3x + 3x/10 = 33x/10

salary of c = 5x + 20% of 5x = 5x + 20/100×5x = 5x + x = 6x

Ratio=(23x/10):(33x/10):6x = 23:33:60

Answer 2

Increment in salary of A is 15%
Therefore, new salary of A is -
a+(15a/100)
= 100a + 15a /100
= 115a/100
=23a/20


Increment in salary of B is 10%
Therefore, new salary of B is -
b+(10b/100)
=11b/10

Increment in salary of C is 20%
Therefore, new salary of C is -
c+20c/100
= 120c/100
=6c/5

New ratio when we consider old salary as A , B and C as 2x , 3x and 5x is.

23(2x)/20 : 11(3x)/10 : 6(5x)/5

or, 23x/10 : 33x/10 : 30x/5

or, 23x/10 : 33x/10 : 60x/10

or, 23 : 33 : 60

Answer) ratio of their new salaries is 23 : 33 : 60