Question
Download Solution PDFA person has 1,000 kg of sugar, part of which he sells at 8% profit and the rest at 18% profit. He gains 14% 'on the whole. The quantity sold at 18% profit is
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
A person has 1,000 kg of sugar, part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole.
Formula used:
Let x be the quantity sold at 18% profit.
Total profit = (Quantity sold at 8% profit × 8%) + (Quantity sold at 18% profit × 18%)
Total sugar = 1000 kg
Average profit = 14%
Calculations:
Total profit = 1000 × 14%
⇒ 1000 × 0.14 = 140 kg
Let x be the quantity sold at 18% profit and (1000 - x) be the quantity sold at 8% profit.
0.08(1000 - x) + 0.18x = 140
⇒ 80 - 0.08x + 0.18x = 140
⇒ 80 + 0.10x = 140
⇒ 0.10x = 60
⇒ x = 600 kg
∴ The correct answer is option 3.
Last updated on May 9, 2023
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