Question

If Sushama had Rs.600 leftafter spending 75% of her money, how much did she have in the beginning?

Answer 1

Given :-

• Sushama had Rs.600 left after spending 75% of her  money.  

To Find :-

• How much did she have in the beginning?

 

Solution :-

~Here, we’re given that Sushama had Rs.600 left after spending 75% of her money and we need to find the money she had in beginning. Firstly we’ll assume the money she had in beginning and then we’ll form an equation according to the question. After solving that equation, we’ll get the required answer.  

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✬ Let the money she had in beginning be ‘x’

According to the question :-

$\sf \implies x - \bigg\{ x \times \dfrac{75}{100} \bigg\} = 600$

$\sf \implies x - \bigg\{ \dfrac{75x}{100} \bigg\} = 600$

$\sf \implies \dfrac{100x -75x}{100} = 600$

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

$\sf \implies 25x = 600 \times 100$

$\sf \implies 25x = 60,000$

$\sf \implies x = \dfrac{60,000}{25}$

$\boxed{\bf{ \bigstar \;\;\; x = Rs. \; 2,400}}}$

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Hence,  

• Sushama had Rs. 2,400 in beginning  

Answer 2

Answer:

$\huge \bf\color{teal}Rs \: 2400$

Step-by-step explanation:

$\bf \: Given,$

$\bf \: Percentage \: of \: Money \: Spent \: = \: 75%$

$\bf \: Percentage \: of \: Money \: left$

$\bf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 100\% - 75\%$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bf= 25\%$

$\bf \: Let \: Total \: Money \: = \: x$

$\bf \: Given \: that$

$\bf \: Money \: left \: = \: Rs \: 600$

$\bf \: Percentage \: of \: Money \: left \: = \: \frac{Money \: left}{Total \: money} × 100$

$= > \bf \: 25 = \frac{600}{x} × 100$

$\bf = > x= \frac{600}{25} × 100$

$\bf \: = > x = 600 × \frac{100}{25}$

$\bf = > x = 600 \times 4$

$\bf = > x = 2400$

$\bf \: Total \: Money \: = \: x \: = Rs \: 2400$