Question

The ratio of salaries of X and Y is 15: 16, if the salary of X increases by 40% and the salary of Y increases by 25% the new ratio becomes 11 : 10 respectively. Find the salary of Y. *

Answer 1

Given :

The ratio of salaries of X and Y is 15 : 16

The salary of X increases by 40% and the salary of Y increases by 25% the new ratio becomes 11 : 10

To Find :

The salary of Y

Solution :

Let The salary of X = 15 x

The salary of Y = 16 x

And

The increased salary of X = 15 x + 40 % of 15 x

                                          = 15 x ( 1 + 40 % )

                                          = 15 x × $\dfrac{140}{100}$

                                          = 15 x × 1.4

                                          = 21 x

Similarly

The increased salary of Y = 16 x + 25 % of 16 x

                                          = 16 x ( 1 + 25 % )

                                          = 16 x × $\dfrac{125}{100}$

                                          = 16 x × 1.25

                                          = 20 x

So, The new ratio of X salaries to Y salaries =  $\dfrac{11}{10}$

i.e           The salary of Y = 20 × 10

                                       = 200

Hence, The salary of Y is Rs 200   Answer