Multiple choice

A shopkeeper sells tea at $10\%$ profit and uses a weight which is $20\%$ less than the actual measure. His gain percent is

  1. $30\%$
  2. $35\%$
  3. $\displaystyle 37\frac{1}{2}$ $\%$
  4. $32\%$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let cost of 100g be 100. Selling price for 80g is 110. Gain = (110-80)/80 = 30/80 = 37.5%.

AI explanation

Using the successive profit formula, the overall gain percentage is calculated as 10 + 25 + (10 times 25 divided by 100), where the 25% comes from using a weight that is 20% less than the actual measure. This simplifies to 35 + 2.5, resulting in a total gain of 37 1/2%.

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