Harshit Dargad

CAT Preparation Community 3y ago

14. As a sales gimmick, a cloth merchant began measuring the cloth with a yardstick that was x inches longer, because of which his profit reduced from 50% of his cost to 20% of his cost, find x. (Given: 1 Yard = 36 Inches)

1

Puja R V 3y ago

let cp/yard be g => sp/yard = 1.5g (as initial profit was 50%), he now sells (36+x) inches inches for the price of 36 inches. So, his SP wont change. => ((1.5)g(36)-g(36+x))/(g(36+x)) = 20/100; solving this we get x = 9

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