Average salary of a manager increase by 26.5%, while that of executive increase by 20%. If the average salary of both the manager and the executive together increased by 22.5% and there are 40 executives in the company, how many managers are there in the company?

solve this question by alligation method.

lets suppose that total salary of manager and exec is 100a and 100b initially. since first is increase by 26.5 percent , it becomes 126.5a and for exec , total salary becomes 120b. Now , it is said that overall change was 22.5 percent i.e (100a+100b)*1.225 . Thus the above sum(126.5a+120b) is equal to (100a+100b)*1.225. on solving , we got 1.6a=b. which means a= 40/1.6 =25. Hope it helps.<br>

25

I got that
it's
(26.5x + 20*40)= 22.5(40+x)

Yes 25 is the answer but I don't understand how?
Can you please provide the explanation?