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A person buys 10 oranges for Rs. 25 and sells them at 8 for Rs. 25. What is the profit percentage?
20%
25%
30%
22.5%
25%
Equate the number of items by taking the LCM of quantities (10 and 8). LCM(10, 8) = 40. Buy 40 oranges for Rs. 100 and sell 40 oranges for Rs. 125.
Cost Price: 10 oranges for Rs. 25. Selling Price: 8 oranges for Rs. 25.
Profit%=CPSPтИТCPтАЛ├Ч100
Equate the number of items by taking the LCM of quantities (10 and 8). LCM(10, 8) = 40. Buy 40 oranges for Rs. 100 and sell 40 oranges for Rs. 125.
Many students calculate profit on the selling price instead of the cost price or try to find the profit per orange by dividing prices, leading to fractional errors.
Equate quantities
To compare prices directly, make the number of oranges equal by taking the LCM of 10 and 8, which is 40.
LCM(10,8)=40
Calculate Cost Price (CP) for 40 oranges
Since 10 oranges cost Rs. 25, 40 oranges (which is 4├Ч10) cost 4├Ч25=100.
CP=100
Calculate Selling Price (SP) for 40 oranges
Since 8 oranges sell for Rs. 25, 40 oranges (which is 5├Ч8) sell for 5├Ч25=125.
SP=125
Calculate Profit Percentage
Apply the profit percentage formula using CP=100 and SP=125.
Profit%=100125тИТ100тАЛ├Ч100=25%
B is correct because the profit earned is Rs. 25 on an investment of Rs. 100, resulting in a 25% profit margin.
This quantity equalization method is identical to the 'Work and Time' concept where you make total units equal; it can also be applied to solve questions involving different rates of consumption or production.