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A number when increased by 50 %, gives 2850. The number is:
950
3800
5700
1900
1900
Think of the number as 150% (3/2) of itself. Since 150% = 2850, divide by 3 to get 50% = 950, then multiply by 2 to get 100% = 1900.
A number increased by 50% equals 2850.
x+0.50x=2850
Think of the number as 150% (3/2) of itself. Since 150% = 2850, divide by 3 to get 50% = 950, then multiply by 2 to get 100% = 1900.
Students often calculate 50% of 2850 (which is 1425) and subtract it from 2850, rather than realizing the 2850 is the result of adding 50% to the original base.
Define the variable
Let the original number be x. Increasing it by 50% means adding 0.50x to x.
x+0.50x=1.5x
Set up the equation
The problem states that the increased value is 2850, so we equate our expression to this value.
1.5x=2850
Solve for x
Divide 2850 by 1.5 to isolate x. We can rewrite 1.5 as 3/2 to simplify the calculation.
x=1.52850тАЛ=2850├Ч32тАЛ=1900
D is correct because 1900 increased by 50% (which is 950) equals 2850.
This concept of 'base value' is foundational for Profit & Loss (where base is Cost Price) and Simple Interest problems.
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