Question : A trader bought 640 kg of rice. He sold a part of the rice at a 20% profit and the rest at a 5% loss. He earned a profit of 15% in the entire transaction. What is the ratio of the quantity of rice that he sold at a loss of 5% to that of the quantity that he sold at a profit of 20%?
Option 1: 1 : 3
Option 2: 4 : 1
Option 3: 1 : 4
Option 4: 3 : 1
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Correct Answer: 1 : 4
Solution : Let the part of rice sold at a 5% loss as 'a' kg and the rest of the rice (640 – a) kg is sold at a 20% profit. The overall profit from the entire transaction is 15%. $⇒a \times -5\% + (640 - a) \times 20\% = 640 \times 15\%$ $⇒-a \times 0.05+(640-a)\times0.2=640 \times0.15$ $⇒-0.25a + 128= 96$ $⇒ 0.25a=32$ $⇒a = 128$ Therefore, the quantity of rice sold at a 20% profit = 640 – 128 = 512 kg The ratio of the quantity of rice sold at a 5% loss to that sold at a 20% profit = 128 : 512 = 1 : 4 Hence, the correct answer is 1 : 4.
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Question : A shopkeeper bought 20 kg of rice at Rs. 55 per kg, 25 kg at Rs. 50 per kg and 35 kg of rice at Rs. 60 per kg. He spent a sum of Rs. 150 on transportation. He mixed all three types of rice and sold all the stock at Rs. 62.56 kg. His profit percent in the entire transaction is:
Option 1: 8.8
Option 2: 12.5
Option 3: 10.5
Option 4: 9.2
Question : A shopkeeper has 2220 kg of rice. A part of which he sells at a 20% profit and the rest at a 12% profit. He gains 18% on the whole. The quantity (in kg) sold at a 12% profit is:
Option 1: 555
Option 2: 1210
Option 3: 1665
Option 4: 425
Question : A trader sold an article at a profit of 20%. Had he bought that article at 60% less price and sold it at INR 90, he would have gained 50%. What is the value (in INR) of the cost price?
Option 1: 150
Option 2: 200
Option 3: 250
Option 4: 300
Question : A shopkeeper bought a certain number of apples for Rs. 3,600. He sold one-fifth of them at a loss of 10%, one-fourth of the remaining apples at a loss of 5%, and two-thirds of the rest at a profit of 15%. At what price (in Rs.) should he sell the remaining apples to earn a profit of 27% overall?
Option 1: 1,548
Option 2: 1,584
Option 3: 1,845
Option 4: 1,864
Question : Ram sold two horses at the same price. On one, he makes a profit of 10% and on the other, incurs a loss of 10%. Then Ram gets:
Option 1: 2% loss
Option 2: No loss or profit
Option 3: 1% loss
Option 4: 1% profit
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