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A number when increased by 50 %', gives 2880. The number is:
3840
1920
5760
960
1920
Think of the number as 100% + 50% = 150%. Since 150% is 3/2, the number is (2880 × 2) / 3 = 960 × 2 = 1920.
A number is increased by 50%, resulting in 2880. Let the original number be x.
x+0.50x=2880
Think of the number as 100% + 50% = 150%. Since 150% is 3/2, the number is (2880 × 2) / 3 = 960 × 2 = 1920.
Many students calculate 50% of 2880 (1440) and subtract it from 2880, forgetting that the increase is based on the original number, not the final result.
Define the equation
Let the original number be x. Increasing it by 50% means x+0.50x=2880.
1.5x=2880
Solve for x
To isolate x, divide the total sum by 1.5, which is equivalent to multiplying by 32.
x=1.52880=2880×32
Final calculation
Divide 2880 by 3 to get 960, then multiply by 2.
x=960×2=1920
B is correct because the number increased by 50% (1.5x=2880) results in 1920.
This concept of percentage increase (1+r) is foundational for Profit & Loss calculations where Selling Price = Cost Price × (1 + Profit%).
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