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A number when increased by 50 %', gives 2910. The number is:
5820
1940
3880
970
1940
To solve this, represent the original number as x. Increasing it by 50% means the new value is x + 0.5x, or 1.5x. Setting 1.5x equal to 2910, dividing 2910 by 1.5 yields the original number 1940.
To solve this, represent the original number as x. Increasing it by 50% means the new value is x + 0.5x, or 1.5x. Setting 1.5x equal to 2910, dividing 2910 by 1.5 yields the original number 1940.
In Indian arithmetic and quantitative aptitude for competitive exams like SSC, RRB, and Banking, the concept of 'percentage increase' follows the base formula: Final Value = Initial Value ├Ч (1 + Percentage/100).
A 50% increase effectively multiplies the base number by 1.5.
Reverse calculation involves dividing the final value by 1.5.
Percentages are relative values; identifying the base is critical for accuracy.
Calculation: 2910 / 1.5 = 29100 / 15 = 1940.
Option A (5820) represents 200% of 2910, or a 200% increase on 1940.
Option D (970) is exactly 50% of 1940, often a distractor for students who calculate the increase but forget to add it to the original number.
Option C (3880) is double the original number, representing a 100% increase.
B is correct тАФ The original number is 1940 because 1940 increased by 50% (970) equals 2910.
Mastering percentage-to-fraction conversions (e.g., 50% = 1/2) speeds up these calculations; here, 150% is 3/2, so multiplying 2910 by 2/3 gives 1940 instantly.
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