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A number when increased by 50 %', gives 2760. The number is:
1840
3680
5520
920
1840
Since an increase of 50% means 150% of the number, simply multiply 2760 by 2/3 (which is 1/1.5).
A number increased by 50% equals 2760. Let the number be x.
x+0.50x=2760
Since an increase of 50% means 150% of the number, simply multiply 2760 by 2/3 (which is 1/1.5).
Students often calculate 50% of 2760 and subtract it (0.5 * 2760 = 1380), forgetting that the 50% increase applies to the original number, not the final sum.
Set up the algebraic equation
Let the original number be x. Increasing it by 50% is represented as x+0.50x.
x+0.5x=2760
Simplify the equation
Combine the coefficients of x to get 1.5x or 23тАЛx.
1.5x=2760
Solve for x
Divide 2760 by 1.5, which is the same as multiplying by 32тАЛ.
x=1.52760тАЛ=1840
A is correct because 1840 increased by 50% (which is 920) results in exactly 2760.
This logic is identical to calculating the Cost Price when a Selling Price and Profit Percentage are given: CP=1+100PтАЛSPтАЛ.
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