Question

By selling an article at 80% of the marked price, there is a loss of 10%. If the article is sold at the marked price, the profit percent will be

• A. 18.4 %
• B. 20 %
• C. 12.5 %
• D. 15 %

Answer 1

Answer: (C)

12.5 %

Let M.P. $=$ Rs.100

S.P. $=$ 80% of M.P. $=$ Rs.80

Loss $=$ 10%

$\Rightarrow C.P.=Rs.\frac{(80\times 100)}{90}$

$=Rs.\frac{800}{9}$
Had S.P. been equal to the M.P. i.e., S.P. $=$ Rs.100
Profit % $=\frac{(100-\frac{800}{9})}{\frac{800}{9}}\times 100$

$=\frac{\frac{100}{9}}{\frac{800}{9}}\times 100=\frac{10000}{800}=12.5\%$