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Ram has 96 kg of sugar, he sells one part at 20% profit and the remaining at 12% loss. He gains 16% on the whole quantity, find the quantity sold at 12% loss?

Ram has 96 kg of sugar, he sells one part at 20% profit and the remaining at 12% loss. He gains 16% on the whole quantity, find the quantity sold at 12% loss? Correct Answer 12 kg

Given:

The total quantity of sugar = 96 kg

He sells one part at 20% profit and the remaining at 12% loss

He gains 16% on the whole quantity

Concept:

Alligation method:

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Thus the required ratio = (Y - M) : (M - X)

Calculation:

By alligation method,

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The ratio of quantity sold at 20% profit and 12% loss 

⇒ 28 : 4

⇒ 7 : 1

Quantity sold at 20% profit = 7 units

Quantity sold at 12% loss = 1 unit

Total quantity = (1 + 7) units

⇒ 8 units

According to the question,

8 units = 96 kg

1 unit = 12 kg

Quantity sold at 12% loss = 12 kg

∴ The quantity sold at 12% loss will be 12 kg.

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