By selling an article at $$\frac{3}{4}$$ of selling price, a trader incurred a loss of 10%. The Profit/loss percentage, when it is sold at the original selling price, is = ?
A. 20% loss
B. 120% profit
C. 32.50% loss
D. 20% profit
Answer: Option D
Solution(By Examveda Team)
$$\eqalign{ & {\text{Let cost price of the article}} = 100 \cr & 10\% \,{\text{loss}} \cr & {\text{Therefore}}\,S{P_1} = 100 - 10 = 90 \cr & \frac{{{\text{Original Selling Pric}}{{\text{e}}_2}}}{{{\text{Reduced Selling Pric}}{{\text{e}}_1}}} = \frac{4}{3} \cr & 3{\text{ units}} = 90 \cr & {\text{1 unit}} = 30 \cr & {\text{4 units}} = 30 \times 4 = 120 \cr & \therefore {\text{Profit }}\% = \frac{{20}}{{100}} \times 100 \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 20\% \cr} $$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
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