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What is 25 percent of 400?
A. 50
B. 100
C. 150
D. 200
Correct Answer Is Option = 100
Notes / Explanation
Twenty-five per cent of four hundred is one hundred, and this calculation provides a good opportunity to understand the idea of percentages, which is one of the most useful concepts in everyday mathematics. The word per cent means for each hundred, so that a percentage is a way of expressing a part of a whole in terms of how many parts there would be for every hundred. When we speak of twenty-five per cent of a quantity, we mean twenty-five parts out of every hundred parts of that quantity. A very helpful thing to know is that twenty-five per cent is the same as a quarter, that is, one part out of four, because twenty-five out of a hundred is the same as one out of four. Therefore, to find twenty-five per cent of a number, one can simply find a quarter of it, that is, divide it by four. In the case of four hundred, a quarter of four hundred is found by dividing four hundred by four, which gives one hundred, so that twenty-five per cent of four hundred is one hundred. This is a quick and easy way to work out twenty-five per cent of a number. Another method is to find ten per cent first, which for four hundred is forty, and then to build up to twenty-five per cent, but recognising twenty-five per cent as a quarter is usually the quickest way. Percentages are extremely useful in a great many practical situations in everyday life, being used to express discounts and increases in prices, in the calculation of interest, in the expression of marks and results, and in describing proportions and changes of all kinds. Certain common percentages are especially worth knowing as simple fractions, such as fifty per cent being a half, twenty-five per cent being a quarter, and ten per cent being a tenth, since recognising these makes many calculations quick and easy. Because percentages are so widely used, the ability to calculate them quickly and accurately is a very valuable skill, and questions involving percentages are very common in examinations. For PPSC and other competitive examinations, the key points to remember are that twenty-five per cent of four hundred is one hundred, that per cent means for each hundred, that twenty-five per cent is the same as a quarter, so that twenty-five per cent of a number can be found by dividing it by four, and that knowing common percentages such as a half, a quarter and a tenth as simple fractions makes many calculations quick and easy.
