Question

a number when increased by 25% becomes 30. The number is? ​

Answer 1

Answer:120

Step-by-step explanatio

Answer 2

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LET THE NUMBER BE:

$x$

IF, THE NUMBER IS INCREASED BY,

$25\%$

IT BECOMES:

$30$

ACCORDING TO THE QUESTION,

$25\% \: \times \: x + x = 30$

EQUALS,

$\frac{25}{100} \times x + x = 30$

EQUALS,

$\frac{1}{4} \times x + x = 30$

EQUALS,

$\frac{x}{4} + x = 30$

EQUALS,

$\frac{x + 4x}{4} = 30$

EQUALS,

$\frac{5x}{4} = 30$

EQUALS,

$5x = 30 \times 4$

EQUALS,

$x = \frac{30 \times 4}{5}$

EQUALS,

$x = 6 \times 4 = 24$

THEREFORE, THE NUMBER IS 24.

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