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A residential plot is purchased for тВ╣6,28,200 and sold for тВ╣7,09,866. What is the profit percentage?
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Use the last two digits of the numbers: SP ends in 66, CP ends in 00. The profit amount ends in 66. Since 6,28,200├Ч13%тЙИ6282├Ч13, the last two digits 82├Ч13=1066, giving 66 as the last two digits, which matches our calculation.
Cost Price (CP) = 6,28,200; Selling Price (SP) = 7,09,866
Profit┬аPercentage=CPSPтИТCPтАЛ├Ч100%
Use the last two digits of the numbers: SP ends in 66, CP ends in 00. The profit amount ends in 66. Since 6,28,200├Ч13%тЙИ6282├Ч13, the last two digits 82├Ч13=1066, giving 66 as the last two digits, which matches our calculation.
Many students fail to perform the subtraction 7,09,866тИТ6,28,200 accurately, leading to errors in the numerator before calculating the percentage.
Calculate the Profit amount
Calculate profit by subtracting the cost price from the selling price: 7,09,866тИТ6,28,200=81,666.
Profit=7,09,866тИТ6,28,200=81,666
Apply Profit Percentage formula
Use the profit percentage formula to find the ratio relative to the cost price.
Profit┬аPercentage=6,28,20081,666тАЛ├Ч100
Simplify and Calculate
Divide 81,666 by 6,282 to get the result: 81,666/6,282=13.
Profit┬аPercentage=13%
B is correct because the calculated profit percentage of 13% matches the given option B.
This concept of percentage change is fundamental in Data Interpretation (DI) sets, where you often compare values across different years.
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