Math, asked by meenakshi8722, 1 month ago

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Answered by 99CHIRAAG66
1

2800+20/100 x 2800 = 3360

3360+50/100 x 3360 = 5040 answer

Answered by BrainlyTwinklingstar
3

Given :

Money saved with Sinha : ₹2800

Money spent on hours rent : 20%

Money spent on household : 50%

To find :

The total monthly salary of Mrs.Sinha

Solution :

First, we should find the money left with her before spending for household expenditure.

Let the money left before spending for household expenditure be m.

Money left before household expenditure :

\sf \dashrightarrow m - 50\% \: of \: m = 2800

\sf \dashrightarrow m - \dfrac{50}{100} \times m = 2800

\sf \dashrightarrow m - \dfrac{50m}{100} = 2800

\sf \dashrightarrow m - \dfrac{1m}{2} = 2800

\sf \dashrightarrow \dfrac{2m - 1m}{2} = 2800

\sf \dashrightarrow 2m - 1m = 2800 \times 2

\sf \dashrightarrow 2m - 1m = 5600

\sf \dashrightarrow 1m = 5600

\sf \dashrightarrow m = \dfrac{5600}{1}

\sf \dashrightarrow m = 5600

Now, we can find her monthly salary.

Monthly salary of Sinha :

Let the total salary be n.

\sf \dashrightarrow n - 20\% \: of \: n = 5600

\sf \dashrightarrow n - \dfrac{20}{100} \times n = 5600

\sf \dashrightarrow n - \dfrac{20n}{100} = 5600

\sf \dashrightarrow n - \dfrac{1n}{5} = 5600

\sf \dashrightarrow \dfrac{5n - 1n}{5} = 5600

\sf \dashrightarrow 5n - 1n = 5600 \times 5

\sf \dashrightarrow 5n - 1n = 28000

\sf \dashrightarrow 4n = 28000

\sf \dashrightarrow n = \dfrac{28000}{4}

\sf \dashrightarrow n = 7000

Hence, Sinha's monthly salary is ₹7000.

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