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A number when increased by 50% gives 2820. The number is:
3760
940
1880
5640
1880
50% increase means the fraction becomes 23тАЛ. If 3┬аunits=2820, then 1┬аunit=940, so 2┬аunits=940├Ч2=1880.
Original number increased by 50% = 2820
Original┬аNumber=1+100Percentage┬аIncreaseтАЛIncreased┬аValueтАЛ...
50% increase means the fraction becomes 23тАЛ. If 3┬аunits=2820, then 1┬аunit=940, so 2┬аunits=940├Ч2=1880.
Subtracting 50% of 2820 instead of finding the base number. 2820тИТ1410=1410, which is incorrect because the 50% increase was on the original number, not on 2820.
Define the unknown variable
Let the original number be x.
Original┬аNumber=x
Set up the algebraic equation
Increasing x by 50% gives 2820. This can be expressed as x+50%┬аof┬аx=2820.
x+0.50x=2820
Simplify the equation
Combine the terms on the left side of the equation.
1.50x=2820
Solve for x
Divide 2820 by 1.5 to find the value of x.
x=1.52820тАЛ=152820├Ч10тАЛ=1880
C is correct because increasing 1880 by 50% yields 1880+940=2820, which matches the given condition.
In profit and loss problems, a 50% markup on cost price works identically: Selling┬аPrice=1.5├ЧCost┬аPrice. Master percentage multiplier techniques to solve both percentage and profit-loss questions quickly.