# A dishonest Shopkeeper promises to sell his goods at 20% profit but uses only 900 grams of weight instead of 1000 grams at the time of selling. What i

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A dishonest Shopkeeper promises to sell his goods at 20% profit but uses only 900 grams of weight instead of 1000 grams at the time of selling. What is his Actual profit percentage?

1. 25%
2. 30%
3. 33.33%
4. 35%

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Correct Answer - Option 3 : 33.33%

Given:

He sells goods at profit of 20%.

He used weight of 900 grams instead of 1000 grams at the time of selling.

Formula used:

Profit % = {(Selling price – Cost price )/Cost price} ×  100

Calculations:

Let the Cost price of 1000 grams of goods =  ₹ 100      ----(1)

⇒ The selling price of 1000 grams = ₹ 120

But, as given, he uses the weight of 900 grams

⇒ Selling price for 900 grams = ₹ 120      ----(2)

Now, The Cost price of 900 grams = ₹ 90

Profit % = {(Selling price – Cost price )/Cost price} ×  100

⇒ {( 120 – 90 ) / 90 × 100}

⇒ Profit % = 33.33

∴ His Actual profit percentage is 33.33%.