A trader professes to sell his goods at a nominal gain percentage but actually earns $$37\frac{1}{2}$$% profit by using false weight. If for a kg he uses a weight of 800 gm, what is the nominal gain percentage at which he claims to be selling his goods ?
A. 8%
B. 10%
C. 15%
D. 20%
Answer: Option B
Solution(By Examveda Team)
Let the required gain be x%Percentage deduction in weight
$$\eqalign{ & = \left( {\frac{{200}}{{1000}} \times 100} \right)\% \cr & = 20\% \cr & \therefore \frac{{20 + x}}{{100 - 20}} \times 100 = 37\frac{1}{2} \cr & \Rightarrow \frac{{20 + x}}{{80}} = \frac{3}{8} \cr & \Rightarrow 20 + x = 30 \cr & \Rightarrow x = 10 \cr} $$
Hence, nominal gain percentage = 10%
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Related Questions on Profit and Loss
A. 45 : 56
B. 45 : 51
C. 47 : 56
D. 47 : 51
A. Rs. 2600
B. Rs. 2700
C. Rs. 2800
D. Rs. 3000
A. A neither losses nor gains
B. A makes a profit of 11%
C. A makes a profit of 20%
D. B loses 20%
A. Rs. 3,750
B. Rs. 3,250
C. Rs. 2,750
D. Rs. 2,250
P% = (True weight – false weight/ false weight) x 100.
= (1000-800)/800 *100%
Profit = 25%
Now
125% = 1.375
100% = 110
Ans: 10%