Question
A person marks his goods 40% above the cost price. He
sold 30% of goods at marked price, 60% of the remaining at a discount of 20% and remaining at 40% discount .What is 60% of his overall gain percent?Solution
Let there are 100 goods (articles) cost of each article be Rs. 1 Total cost of 100 articles = Rs. 100 MP of 100 articles = 100 × 140/100 = Rs. 140 30% of 100 = 30 Remaining = 100 – 30 = 70 60% of 70 = 42 Rest = 100 – 30 – 42 = 28 Total SP of 100 articles 30 × (140/100) + 42 × (140/100) × (80/100) + 28 × (140/100) × (60/100) ⇒ 42 + 47.04 + 23.52 ⇒ 112.56 Profit = 112.56 – 100 = 12.56 Profit percentage = 12.56/100 × 100 = 12.56%
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