Question

2)If Sushama had Rs.600 left
after spending 75% of her
money, how much did she
have in the beginning?​

Answer 1

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Answer 2

Answer :-

• Sushma had Rs 2400 in the beginning.

To find :-

• The amount of money she had in the beginning.

Step-by-step explanation :-

• Here, we have to find the amount of money Sushma had before spending 75% on her salary.

It has been given that :-

• Sushma spent 75% of her salary.

Hence,

• The percentage of money left with her = 100% - 75% = 25%

Now, it has been given that :-

• After spending 75% of her salary, Sushma is left with Rs 600.

• It means, that 25% of Sushma's salary is Rs 600.

• Let the amount of money Sushma had in the beginning be "x".

------------------------------------

$\longmapsto\sf25\% \: of \: x = 600$

Converting 25% into fraction,

$\longmapsto\sf \dfrac{25}{100} \times x = 600$

Multiplying 25/100 with x,

$\longmapsto\sf \dfrac{25x}{100} = 600$

Transposing 100 from LHS to RHS, changing it's sign,

$\longmapsto\sf25x = 600 \times 100$

Multiplying 600 with 100,

$\longmapsto\sf25x = 60000$

Transposing 25 from LHS to RHS, changing it's sign,

$\longmapsto\sf x = \dfrac{60000}{25}$

Dividing 60000 by 25,

$\longmapsto \underline{ \boxed{\sf x = 2400}}$

• The value of x is 2400.

• Hence, Sushma had Rs 2400 in the beginning.

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