Join 60,000+ competitive exam aspirants
or with email
Your Cart
SubtotalтВ╣0
TotalтВ╣0
Examoogle тАв User тАв info@examoogle.com тАв EE-2024-8821
Chapter 1 of 12 тАв Page 1 of 248ЁЯФТ Protected PDF тАв Watermarked
Join 60,000+ competitive exam aspirants
A dishonest dealer professes to sell goods at the cost price, but uses a false weight of 900 grams instead of a kg. His gain percentage is:
1192тАЛ%
11 %
1191тАЛ%
10 %
1191тАЛ%
\text{Gain %} = \left(\frac{\text{Error}}{\text{True Value} - \text{Error}}\right) \times 100 = \left(\frac{100}{900}\right) \times 100 = 11\frac{1}{9}\%
Professed price = Cost price, False weight = 900 grams instead of 1 kg (1000 grams)
\text{Gain %} = \left(\frac{\text{True Weight} - \text{False Weight}}{\text{False Weight}}\right) \times 100
\text{Gain %} = \left(\frac{\text{Error}}{\text{True Value} - \text{Error}}\right) \times 100 = \left(\frac{100}{900}\right) \times 100 = 11\frac{1}{9}\%
Students often mistakenly calculate profit percentage on 1000g instead of the actual weight sold (900g).
Identify True and False Weights
The dealer uses 900┬аg instead of 1000┬аg (1┬аkg) for every kg sold.
True┬аWeight=1000┬аg,False┬аWeight=900┬аg
Calculate Net Gain in Terms of Quantity
The dealer saves 100┬аg out of every 900┬аg sold to the customer.
Gain┬аQuantity=1000тИТ900=100┬аg
Apply Gain Percentage Formula
Profit percentage is calculated with respect to the goods actually delivered (900┬аg).
\text{Gain %} = \left(\frac{100}{900}\right) \times 100 = \frac{100}{9}\% = 11\frac{1}{9}\%
C is correct because the gain percentage calculated using the false weight formula yields 1191тАЛ%.
This concept is frequently tested in Quantitative Aptitude under Profit, Loss & Discount, particularly involving faulty balances.
Get instant step-by-step AI explanations, full shift Previous Year Papers (SSC GD, RRB, SSC JE), and regional rank analysis on the official Examoogle App.
Free Download тАв 100K+ Aspirants