A dishonest dealer sells his goods at 10% loss on cost

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A dishonest dealer sells his goods at 10% loss on cost price and uses 30% less weight. What is his profit or loss per cent ?

1. 28⁴/₇ % loss
2. 28³/₇ % gain
3. 28³/₇ % loss
4. 28⁴/₇ % gain

Correct Option: D

Given that, a = 10% and b = 30%
According to the formula,
Required per cent = [(b - a)/(100 - b)] x 100
= [(30 - 10)/(100 - 30)] x 100
= (20/70) x 100 = 200/7%
= 28⁴/₇% profit