Question

Two numbers are 15% and 20% less than a third number.what percentage is the first number as a percentage of the second number

Answer 1

let the first, second and third no. be x, y, z respectively
x =  z(1 - 15/100)
x = 85z/100 = 17z/20

y = z(1-20/100)
y = 4z/5 = 16z/20
 now the question asks - what % is x of y?
= x/y*100
=17z/100  upon 16z/100 * 100
=17/16*100 = 17*6.25 = 106.25 %     ANSWER



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Answer 2

The first number is 6.25%. less than the second number.

• A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The word "percent" is used to symbolise it. There is no dimension to percentages. As a result, it is known as a dimensionless number. When we say a number is 50% of anything, we mean that it is 50% of everything.
• We must divide the value by the entire value to find the percentage, and then multiply the resulting number by 100.
• The original number is subtracted from the new number, divided by the original number, then multiplied by 100 to get the % increase.

Here, let the third number be x.

Then, if the third number is 100, the first number is 85.

When the third number is x, the first number is, 0.85x.

Then, if the third number is 100, the second number is 80.

When the third number is x, the second number is, 0.80x.

When the second number is 0.80x, the first number is (0.85-0.80)x = 0.05x.

When the second number is 100, the first number is $\frac{0.05}{0.80} .100 =$ 6.25%.

Hence, the first number is 6.25%. less than the second number.

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