Question : Ram sold a plot for Rs. 4,00,000 at a 20% loss. For what price should he sell the plot to gain a 5% profit?
Option 1: Rs. 5,25,000
Option 2: Rs. 5,20,000
Option 3: Rs. 5,00,000
Option 4: Rs. 5,05,000
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Correct Answer: Rs. 5,25,000
Solution : Here CP denotes the cost price, and SP denotes the selling price. Let CP be Rs. $100x$. Now, SP after 20% loss $= 100x × (100 – 20)$% $=80x$ And, SP after 5% profit $= 100x × (100 + 5)$% $=105x$ According to the question, $80x =400000$ So, $105x = \frac{400000}{80} × 105=525000$ Hence, the correct answer is Rs. 5,25,000.
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Question : A horse was sold for Rs. 60,000 at a profit of 20%. For what price should he have sold to gain a 30% profit?
Option 1: Rs. 64,000
Option 2: Rs. 65,000
Option 3: Rs. 50,000
Option 4: Rs. 55,000
Question : If a stall sells a pizza at Rs. 200, he makes a 20% loss. If he wants to make a 10% profit, then at what price (in Rs.) should he sell?
Option 1: 250
Option 2: 300
Option 3: 275
Option 4: 325
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 : If a vendor sells a coconut for Rs. 14.4, he makes a 10% loss. If he wants to make a 25% profit, then at what price (in Rs.) should he sell?
Option 1: 18
Option 2: 20
Option 3: 16
Option 4: 22
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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