An article is sold at a certain price. If it is sold at 80% of this price, then there will be a loss of 10%. What is the percentage profit when the article is sold at the original selling price?
A. $$15\frac{1}{2}$$
B. $$12\frac{1}{2}$$
C. 15
D. 12
Answer: Option B
Solution(By Examveda Team)
$$\eqalign{ & {\text{Let price}} = 100 \cr & {\text{Sold}} = 100 \times \frac{{80}}{{100}} = 80 \cr & {\text{Cost price}} = \frac{{80 \times 100}}{{90}} = \frac{{800}}{9} \cr & {\text{Cost price : Selling price}} \cr & = \frac{{800}}{9}:100 \cr & = 800:900 \cr & {\text{Profit }}\% = \frac{{100}}{{800}} \times 100 = 12\frac{1}{2}\% \cr} $$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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