A trader claims to sell wheat at a profit of 29%, but also dishonestly uses a weight which is 30% less than what is mentioned on it. Find the total percentage of profit earned by the trader. (Round off the answer to the nearest whole number.)​

Correct option is B

Given:

Claimed profit = 29%

Weight used is 30% less than the actual weight

Find the total percentage profit (nearest whole number).

Formula Used:

If a trader claims profit = (p%) and gives (x%) less weight, then

Net Gain % =  $$\left[\frac{(100+p)}{(100-x)} - 1\right] \times 100$$​​

Solution:

Here, p = 29,  x = 30

Net Gain % = $$\left(\frac{129}{70} - 1\right) \times 100$$​​

= (1.842857 - 1) × 100

= 84.2857%

Rounded to the nearest whole number: 84%

Alternate Solution(Exam-hall trick):