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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

  • a)
    300
  • b)
    400
  • c)
    600
  • d)
    500
Correct answer is option 'C'. Can you explain this answer?
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A merchant has 1000 kg of sugar part of which he sells at 8% profit an...

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A merchant has 1000 kg of sugar part of which he sells at 8% profit an...
To solve this problem, we can use the concept of weighted averages. Let's break down the problem step by step:

Given:
Total quantity of sugar = 1000 kg
Profit on the whole = 14%

Let's assume the quantity of sugar sold at 8% profit is x kg, and the quantity sold at 18% profit is (1000 - x) kg.

Calculating weighted average profit:
We know that the merchant gained a profit of 14% on the whole quantity. So, we can write the equation as:

(8% of x) + (18% of (1000 - x)) = 14% of 1000

Simplifying the equation:
0.08x + 0.18(1000 - x) = 0.14(1000)

0.08x + 180 - 0.18x = 140

-0.1x = -40

x = 400

Therefore, the quantity of sugar sold at 18% profit is 1000 - 400 = 600 kg.

So, the correct answer is option C) 600.
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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 a)300b)400c)600d)500Correct answer is option 'C'. Can you explain this answer?
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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 a)300b)400c)600d)500Correct answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about 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 a)300b)400c)600d)500Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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 a)300b)400c)600d)500Correct answer is option 'C'. Can you explain this answer?.
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