A merchant has 1000 kg of sugar part of which he sells at 8 profit and the rest at 18 profit He gain...........

Quant (SSC) Profit and loss

A merchant has 1000 kg of sugar, part of which he sells at 8% profit and the rest at 18% profit. He gain 14% on the whole. The quantity sold at 18% profit is

500 kg

600 kg

400 kg

640 kg

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Explanation:

Let the sugar sold at 8% gain = x
∴ Sugar sold at 18% gain = (1000 – x)
Let CP of sugar = ? y per kg
Total CP = ? 1000y
∴ (108/100 × xy) + 118/100 (1000 – x)y
= 114/100 × 1000y
⇒ 108xy + 118000y – 118xy = 114000y
⇒ 10x = 4000
∴ x = 400
∴ Quantity sold at 18% profit = (1000 – 400) kg = 600 kg