A trader has 50 Kg of rice, a part of which he sells at 10% profit and the rest at 5% loss. He gains 7% on the whole. What is the quantity sold at 10% gain and 5% loss?

30 Kg, 10 Kg

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40 Kg, 15 Kg

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35 Kg, 40 Kg

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40 Kg, 10 Kg

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None of the above

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Solution

The correct option is D 40 Kg, 10 Kg

$∴$ Ratio of quantities sold at 10% profit and 5% loss =12 : 3 =4: 1
$∴$ The quantity sold at 10% profit
$= \frac{50}{4 + 1} \times 4 = 40 K g$
and, the quantity sold at 5% loss =50-40=10 Kg.

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A trader has 50 Kg of rice, a part of which he sells at 10% profit and the rest at 5% loss. He gains 7% on the whole. What is the quantity sold at 10% gain and 5% loss?

The correct option is D 40 Kg, 10 Kg ∴ Ratio of quantities sold at 10% profit and 5% loss =12 : 3 =4: 1 ∴ The quantity sold at 10% profit =504+1×4=40Kg and, the quantity sold at 5% loss =50-40=10 Kg.

The correct option is D 40 Kg, 10 Kg

$∴$ Ratio of quantities sold at 10% profit and 5% loss =12 : 3 =4: 1
$∴$ The quantity sold at 10% profit
$= \frac{50}{4 + 1} \times 4 = 40 K g$
and, the quantity sold at 5% loss =50-40=10 Kg.