Question

On subtracting 5 from one-fifth a
number, the result is 10. What is the number?
a) 15
b) 25
c) 50
d) 75​

Answer 1

Answer :-

• Option d) is correct.

• The number is 75.

To find :-

• The number.

Solution :-

Let the number be "x".

Then :-

• $\sf One-fifth \: of \: the \: number = \dfrac{1}{5} x$

Subtracting 5 from one fifth of the number,

• $\sf We \: get \: \dfrac{1}{5} x - 5$

It is given that :-

• On subtracting 5 from one fifth of the number, the result is 10.

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Therefore,

$\longmapsto \rm \dfrac{1}{5} x - 5 = 10$

$\rm\longmapsto \dfrac{1}{5} x = 10 + 5$

$\rm \longmapsto \dfrac{1}{5} x = 15$

$\rm\longmapsto \dfrac{x}{5} = 15$

$\rm \longmapsto x = 15 \times 5$

$\longmapsto \underline{ \boxed{ \rm x = 75}}$

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Hence :-

• The required number is 75.

So, option d) is correct.