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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%?
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- 60%
- 28.5%
- 33.5%
- No discount
Correct Option: B
Let cost price = ₹ 100
And marked price = 100 + 40 = ₹ 140
Let required discount be R %.
According to the question,
140 x (100 - R)/100 = 100
⇒ 100 - R = (100 x 100) / 140
∴ R = 100 - (100 x 100) / 140
= (40 x 100) / 140
= 28.5 % (approx)