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A number when increased by 50 %', gives 3120. The number is:
1040
6240
2080
4160
2080
Since 150% of the number is 3120, 50% is 1040. Subtracting this from 3120 gives the original 100% as 2080.
A number increased by 50% equals 3120.
x├Ч(1+0.50)=3120
Since 150% of the number is 3120, 50% is 1040. Subtracting this from 3120 gives the original 100% as 2080.
Confusing 'increased by 50%' with 'increased to 50%', which would mean calculating 50% of 3120 instead of the original base.
Define the Variable
Let the original number be x. Increasing it by 50% means the new value is x+0.50x.
1.5x=3120
Solve for x
Divide the total value by 1.5 to isolate the original number.
x=1.53120тАЛ
Final Calculation
Performing the division: 3120├╖1.5=2080.
x=2080
C is correct because the original number x satisfies 1.5x=3120, which results in x=2080.
This concept is foundational for Profit and Loss problems where 'Selling Price = Cost Price + Profit %'.
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