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A dishonest dealer sells his goods at 10% loss on cost price but uses 20% less weight. What is his profit or loss percent?1. 14%2. 15%3. 10.5%4. 12.5%5. 20%

Answer» Correct Answer - Option 4 : 12.5%

Given:

Loss% on the CP (a) = 10%

Less weight (b) = 20%

Formula Used:

Profit%/Loss% = (b ± a)/(100 – b) × 100

Calculations:

As, a = 10% and b = 20%

Then,

⇒ Profit%/Loss% = (b ± a)/(100 – b) × 100

⇒ (20 – 10)/(100 –20) × 100

⇒ 10/80 × 100

⇒ 12.5%

The dealer’s profit% is 12.5%.

Here, we need to note that:

If there is a loss of a% on the CP, then we have the formula:

Dealer's profit% = [(b - a)/(100 – b)] × 100

And if there is a profit of a% on the CP, then we have the formula:

Dealer's Loss% = [(b + a)/(100 – b)] × 100



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