Acompany has only two divisions: division a and division b. last year, division a made 60% of the company's total revenue and division b made 40% of the total revenue. this year, division a's revenue has decreased by 35% and division b's revenue has decreased by 5%. which division had higher revenue this year?

Answer – Division A

EXPLANATION’

Given for last year,

Division A made 60% of the company's total revenue.

Let the company’s total revenue for last year be x

60% of x = 0.6x

Division A made 0.6x last year

Also given for last year,

Division B made 40% of the company's total revenue.

If the company’s total revenue for last year is x

40% of x = 0.4x

Division B made 0.4x last year

For this year,

We are told that division A's revenue has decreased by 35%

Last year’s revenue was 0.6x

Division A’s revenue for this year = 0.6x – (35% of 0.6x)

= (100% of 0.6x) – (35% of 0.6x)

= (100% * 0.6x) – (35% * 0.6x)

= (100% - 35%) * 0.6x

= 65% * 0.6x

= 65/100 * 0.6x

= 0.39x

Therefore this year, Division A’s revenue is 0.39x

Again for this year,

We are told that division B's revenue has decreased by 5%

Last year’s revenue was 0.4x

Division B’s revenue for this year = 0.4x – (5% of 0.4x)

= (100% of 0.4x) – (5% of 0.6x)

= (100% * 0.4x) – (5% * 0.4x)

= (100% - 5%) * 0.4x

= 95% * 0.4x

= 0.38x

Therefore this year, Division B’s revenue is 0.38x

If Division A’s revenue is 0.39x, and Division B’s revenue is 0.38x; then Division A had higher revenue this year.

i believe that it is a 45% chance.

the correct option is c