A pair of pants cost 50% more than a tie. A shirt cost 25% more than the same tie. By what percentage is the cost of the pair of pants greater than the cost of the shirt?

Answer

20%

Explanation

let the cost of tie = x

Then cost of a pair of pants = (100+50) %x

= 150%x

= 1.5x

The cost of shirt = (100+25) %x

= 125%x

= 1.25x

(1.5x - 1.25x) / 1.25x * 100

0.25x/1.25x * 100

0.2 * 100 = 20%