While selling, businessman allows 40% discount on thee marked

While selling, businessman allows 40% discount on thee marked price and there is a loss of 30%. If it is sold at the marked price, profit per cent will be

1. 10%
2. 20%
3. 16²/₃%
4. 16¹/₃%

Correct Option: C

Let MP of an article = ₹ N
∴ SP of an article = N x (100 - 40)/100 = ₹ 3N / 5
CP of an article = {(3N/5) x 100}/{100 - 30}
= (3N/5) x (100/70) = ₹ 6N/7.

∴ Profit when sold at MP = N - (6N/7) = ₹ N/7
Hence, profit per cent = [(N/7) / (6N/7)] x 100% = 50/3%
= 16²/₃%

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Discount

Aptitude

Correct Option: C

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