A dishonest shopkeeper is selling wheat flour at a price 5% above its

1.	A dishonest shopkeeper is selling wheat flour at a price 5% above its cost price. But, using faulty weights, he makes a total profit of 10%. If a man buys 4 kg of flour, how much flour did he actually gave him?1). 3.54 kg2). 3.60 kg3). 3.78 kg4). 3.82 kg
Answer» Let the cost price of the flour be Rs. x PER kg and the amount of flour that the shopkeeper actually gave to the man be ‘y’ kg Selling price of 1 kg flour = (100 + 5)% of x = Rs. 1.05x Amount PAID by man = Selling price of 4 kg flour = 4 × 1.05x = Rs. 4.2x Actual cost of flour taken by man = Rs. xy Hence, profit EARNED by the shopkeeper = 4.2x – xy = x(4.2 – y) ⇒ 10% of xy = x(4.2 – y) ⇒ 0.1y = 4.2 – y ⇒ 1.1y = 4.2 ⇒ y = 4.2/1.1 = 3.82 kg ∴ The shopkeeper gave only 3.82 kg of flour to the man

A dishonest shopkeeper is selling wheat flour at a price 5% above its cost price. But, using faulty weights, he makes a total profit of 10%. If a man buys 4 kg of flour, how much flour did he actually gave him?1). 3.54 kg2). 3.60 kg3). 3.78 kg4). 3.82 kg

Answer»

Let the cost price of the flour be Rs. x PER kg and the amount of flour that the shopkeeper actually gave to the man be ‘y’ kg

Selling price of 1 kg flour = (100 + 5)% of x = Rs. 1.05x

Amount PAID by man = Selling price of 4 kg flour = 4 × 1.05x = Rs. 4.2x

Actual cost of flour taken by man = Rs. xy

Hence, profit EARNED by the shopkeeper = 4.2x – xy = x(4.2 – y)

⇒ 10% of xy = x(4.2 – y)

⇒ 0.1y = 4.2 – y

⇒ 1.1y = 4.2

⇒ y = 4.2/1.1 = 3.82 kg

∴ The shopkeeper gave only 3.82 kg of flour to the man

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A dishonest shopkeeper is selling wheat flour at a price 5% above its cost price. But, using faulty weights, he makes a total profit of 10%. If a man buys 4 kg of flour, how much flour did he actually gave him?1). 3.54 kg2). 3.60 kg3). 3.78 kg4). 3.82 kg

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