Question

When 30% of one number is subtracted from another number, the second number reduces to its four-fifths. What is the ratio of the first to the second number?

Answer 1

Answer:

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Answer 2

The ratio of the first to the second number is 2 : 3

Solution:

Let the number be "x"

Let the other number be "y"

When 30% of one number is subtracted from another number, the second number reduces to its four-fifths

Which means,

$y - 30 \% \text{ of } x = \frac{4}{5} \times y\\\\Solve\\\\y - \frac{30}{100} \times x = \frac{4}{5} \times y\\\\y - \frac{3}{10}x = \frac{4y}{5}\\\\y - \frac{4y}{5} = \frac{3}{10}x\\\\\frac{y}{5} = \frac{3x}{10}\\\\2y = 3x\\\\\frac{x}{y} = \frac{2}{3}$

Thus in ratio form,

x : y = 2 : 3

Thus the ratio of the first to the second number is 2 : 3

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