| What is the maximum percentage discount (approximately) that a merchant can offer on his marked price, so that he ends up selling at no profit or loss, if he initially marked his goods up by 40%? |
A) 60%
B) 28.5%
C) 33.5%
D) No discount
Correct Answer: B
Solution :
| Let cost price be Rs. 100 |
| and marked price \[=100+40=Rs.\,140\] |
| Let required discount be x %. |
| According to the question, |
| \[140\times \left( \frac{100-x}{100} \right)=100\] |
| \[\Rightarrow \] \[100-x=\frac{100\times 100}{140}\] |
| \[\Rightarrow \] \[x=100-\frac{100\times 100}{140}\] |
| \[=\frac{40\times 100}{140}=28.5%\] (approx). |
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