Multiple choice

Directions : Select the correct alternative from the given choices. A trader claims to sell vegetables at a profit of 20% over his cost price. If he uses a false weight and weighs only 800 gm instead of 1000 gm, what is his overall profit percentage?

  1. 25%

  2. 40%

  3. 50%

  4. 60%
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The trader marks up by 20% (selling 1000g for the price of 1200g equivalent). By using 800g instead of 1000g, he gains on the weight. The effective profit is ((1.2 * 1000 / 800) - 1) * 100 = (1.5 - 1) * 100 = 50%.

AI explanation

Let the cost price of 1000 grams be 100 rupees. The trader sells 800 grams for 120 rupees, applying the profit percentage to the cost of the goods actually given. To find the overall profit percentage on a 1000-gram transaction, the cost price of the full 1000 grams is 100, but he receives only 800 grams from the customer valued at the implied rate of 120 per 1000 grams, equating to revenue of 96 rupees, which reveals a path to a different result. The standard successive percentage formula for profit and false weight is ((100 plus 20) divided by (800 multiplied by 100 divided by 1000)) minus 1, all multiplied by 100. This simplifies to (120 divided by 80) minus 1, multiplied by 100, yielding an overall profit of 50%.

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