Select the correct answerA merchant has 1000 kg of sugar part of which he sells at 6% loss and the rest at 4% profit. He gains 3% on the whole. The Quantity sold at 4% profit is?Options200600900100
Question
Select the correct answerA merchant has 1000 kg of sugar part of which he sells at 6% loss and the rest at 4% profit. He gains 3% on the whole. The Quantity sold at 4% profit is?Options200600900100
Solution
To solve this problem, we can use the concept of weighted averages.
Let's denote:
- the amount of sugar sold at a 6% loss as x kg
- the amount of sugar sold at a 4% profit as y kg
We know that x + y = 1000 kg (the total amount of sugar)
We also know that the merchant gains 3% on the whole, so we can set up the following equation:
-6% * x + 4% * y = 3% * 1000
Solving this equation for y gives us:
y = (3% * 1000 + 6% * x) / 4%
Substituting x = 1000 - y into this equation gives us:
y = (3% * 1000 + 6% * (1000 - y)) / 4%
Solving this equation for y gives us:
y = 600 kg
So, the merchant sold 600 kg of sugar at a 4% profit.
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