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Question : Raghu sold an article for INR 180 after allowing a 20% discount on its marked price. Had he not allowed any discount, he would have gained 20%. What is the cost price of the article?

Option 1: INR 187.50

Option 2: INR 192.80

Option 3: INR 188.60

Option 4: INR 190.40


Team Careers360 12th Jan, 2024
Answer (1)
Team Careers360 16th Jan, 2024

Correct Answer: INR 187.50


Solution : Given: After allowing a 20% discount selling price is INR 180.
So, 180 = Marked Price – 20% of the Marked Price = 80% of the Marked Price
⇒ Marked Price = $\frac{180}{80}$ × 100 = 225
At no discount 20% profit.
So, 225 = 120% of the cost price
$\therefore$ cost price = $\frac{225}{120}$ × 100 = INR 187.5
Hence the correct answer is INR 187.5.

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