Question

If rafiyn 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

Given :

Money left with Rafiyn : ₹600

Percent of money spent : 75%

To find :

Total money with Rafiyn at beginning.

Solution :

First, we should find the percent of money left with him.

Percent of money left with Rafiyn :

${\sf \dashrightarrow 100 - 75}$

${\sf \dashrightarrow 25\%}$

Now, we can find the money that was with him at beginning.

Money with Rafiyn at beginning :

Let the total money be y,

${\sf \dashrightarrow 25\% \: of \: y = 600}$

${\sf \dashrightarrow \dfrac{25}{100} \times y = 600}$

${\sf \dashrightarrow y = \dfrac{600 \times 100}{25}}$

${\sf \dashrightarrow y = \dfrac{60000}{25}}$

${\sf \dashrightarrow y = 2400}$

So, Rafiyn had ₹3000 with him at beginning.

Verification

${\sf \dashrightarrow 25\% \: of \: y = 600}$

${\sf \dashrightarrow 25\% \: of \: 2400 = 600}$

${\sf \dashrightarrow \dfrac{25}{100} \times 2400 = 600}$

${\sf \dashrightarrow \dfrac{1}{4} \times 2400 = 600}$

${\sf \dashrightarrow \dfrac{2400}{4} = 600}$

${\sf \dashrightarrow 600 = 600}$

${\sf \dashrightarrow LHS = RHS}$