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A shopkeeper makes varying profits on selling certain amount of sugar weighing 84 kgs. On certain part of the total quantity, he makes a profit of 9% profit and rest at 16% profit. If the overall gain for the shopkeeper is 12% profit on the whole quantity, then find how much is sold at 16% profit?1). 36 kgs2). 48 kgs3). 66 kgs4). None of these |
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Answer» USING the rule of allegation, if two quantities are mixed, then ⇒ Quantity of FIRST part/Quantity of SECOND part = (Profit percentage of second part – Mean Profit)/(Mean profit percentage – Profit percentage of first part) ⇒ Substituting the values, Quantity of first part/Quantity of second part = (16 – 12)/(12 – 9) ⇒ Quantity of first part/Quantity of second part = 4/3 ⇒ Ratio is 4 : 3 ⇒ Quantity sold at 16% profit = [3/(4 + 3)] × 84 kg ⇒ (3/7) × 84 kg ⇒ 36 kg ∴ Quantity sold at 16% profit = 36 kgs |
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