A merchant has 1000 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
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A merchant has 1000 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
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Answer:
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Step-by-step explanation:
Let the sugar sold at 8% gain = x
Therefore, Sugar sold at 18% gain = (1000 - x)
Let CP of sugar = Rs.y per kg
Total CP = Rs.100y
Therefore, (108100×xy)+118100(1000−x)y = 114100×1000y
108xy+118000y−118xy=114000y
10x=4000
x=400
Quantity sold at 18% profit
= 1000 - 400 = 600 kg
Verified answer
Answer:
• According to the Question :
⠀1st Part⠀⠀⠀⠀⠀⠀ 2nd Part
⠀⠀8%⠀⠀⠀⠀⠀ ⠀⠀⠀⠀18%
⠀⠀⠀⠀⠀⠀⠀Mean
⠀⠀⠀⠀⠀⠀⠀⠀14%
⠀(18% - 14%)⠀⠀⠀⠀⠀ ⠀(14% - 8%)
⠀⠀⠀4⠀⠀⠀⠀⠀ :⠀⠀⠀⠀⠀ ⠀6
⠀⠀⠀2⠀⠀⠀⠀⠀ :⠀⠀⠀⠀⠀ ⠀3
• Quantity sold at 18% Profit :
⇒ Quantity on 18% = 1000 × 3/(2 + 3)
⇒ Quantity on 18% = 1000 × 3/5
⇒ Quantity on 18% = 200 × 3
⇒ Quantity on 18% = 600 kg
∴ Quantity sold on 18% profit is 600 kg.