Question

A dishonest cloth merchant uses a scale of 90 cm instead of meter-scale and claims to sell at cost price. What is his profit%?
1. 11%
2. \(11\frac{1}{9}\%\)
3. \(14\frac{1}{9}\%\)
4. 20%
5. 15%

Answer 1

Correct Answer - Option 2 : \(11\frac{1}{9}\%\)

Given:

True length = 100 cm

False length = 90 cm

Formula Used:

Profit% = True weight - false weight / false weight × 100

Calculations:

According to the formula,

Profit% = True weight - false weight / false weight × 100

⇒ 100 - 90 / 90 × 100

⇒ 10 / 90 × 100

⇒ 100 / 9

⇒ \(11\frac{1}{9}\%\)

The dealer’s profit% is \(11\frac{1}{9}\%\).