Question : A trader had 1200 kg. of rice. He sold a part of it at 5% profit and the rest at 11% profit, so that he made a total profit of 7%. How much (In kg) rice did he sell at 5% profit?
Option 1: 900 Kg
Option 2: 600 Kg
Option 3: 400 Kg
Option 4: 800 Kg
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Correct Answer: 800 Kg
Solution : Total amount of rice = 1200 kg Total profit = 7% Let the amount of rice he sold at 5% profit be $a$ Then, the amount of rice he sold at 11% profit will be $(1200-a)$ According to the question, $a(1+\frac{5}{100})+(1200-a)(1+\frac{11}{100})=1200(1+\frac{7}{100})$ ⇒ $1.05a+1.11(1200-a)=1200\times 1.07$ ⇒ $0.06a=1200\times 0.04$ ⇒ $a=800$ Hence, the correct answer is 800 Kg.
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Question : A merchant has 1000 kg sugar part of which sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The quantity sold at 8% profit is:
Option 1: 560 kg
Option 2: 600 kg
Option 3: 640 kg
Option 4: 400 kg
Question : A shopkeeper sold an article at a loss of 20%. If he could sell it at Rs. 200 more, he could earn a profit of 5%. The cost price of the article is:
Option 1: Rs. 800
Option 2: Rs. 1,000
Option 3: Rs. 1,200
Option 4: Rs. 600
Question : Mohan sold his watch at a loss of 10%. If he had sold it for Rs. 45 more, he would have made a profit of 5%. The selling price (in Rs.) of the watch was:
Option 1: 300
Option 2: 900
Option 3: 110
Option 4: 270
Question : A rice trader buys 8 quintals of rice for Rs 3600. 10% of rice is lost in transportation. At what rate should he sell to earn a 15% profit?
Option 1: Rs. 352.1 per quintal
Option 2: Rs. 517.5 per quintal
Option 3: Rs. 575 per quintal
Option 4: Rs. 582.3 per quintal
Question : Ritika purchased 'x' kg wheat at Rs. 30/kg and sold 8 kg of this at Rs. 'x' per kg and remaining at Rs. 45/kg. The overall profit percentage earned is 10%, then what quantity of wheat does Ritika sell at Rs. 45/kg?
Option 1: 18 kg
Option 2: 16 kg
Option 3: 10 kg
Option 4: 14 kg
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