2016 · Q45
A cloth merchant buys cloth from a weaver and cheats him by using a scale which is 10 cm longer than a normal metre scale. He claims to sell cloth at the cost price to his customers, but while selling uses a scale which is 10 cm shorter than a normal metre scale. What is his gain?
Elementary MathematicsProfit and Loss
- A20%
- B21%
- C22 2/9%
- D23 1/3%
Explanation
The merchant receives 110 cm for the price of 100 cm, but delivers only 90 cm while charging for 100 cm. Selling 90 units that cost (90/110)·100 = 81.82 units' worth for 100 units' price gives a gain ratio of 18.18/81.82 = 2/9. This is 22 2/9%, option C.