Math, asked by sarojrathore2420, 9 hours ago

after spending 69% of her money a lady has rs.93 left. How much had she first

Answers

Answered by TwilightShine
20

Answer :-

  • The amount of money the lady had was Rs 300.

To find :-

  • The amount of money the lady had first.

Step-by-step explanation :-

 

  • Here, it is given that after spending 69% of her money, a lady has Rs 93 left. We have to find the amount of money she had before.

Let :-

  • The amount of money the lady had be Rs "x".

Now,

 \underline{\boxed{\sf{Total \: money = Amount \: of \: money \: spent + Amount \: of \: money \: left}}}

Here,

  • Amount of money spent = 69% of Rs "x".
  • Money left = Rs 93.

Therefore,

\longrightarrow \: \sf{x = \dfrac{69}{100} x+ 93}

\longrightarrow \: \sf{x = \dfrac{69x}{100} + 93}

\longrightarrow \: \sf{x = \dfrac{69x}{100} + 93}

\longrightarrow \: \sf{x - \dfrac{69x}{100} = 93}

\longrightarrow \: \sf{x - \dfrac{69x}{100} = 93}

\longrightarrow \: \sf{\dfrac{100x - 69x}{100} = 93}

\longrightarrow \: \sf{\dfrac{31x}{100} = 93}

\longrightarrow \: \sf{31x = 93 \times 100}

\longrightarrow \: \sf{31x = 9300}

\longrightarrow \: \sf{x = \dfrac{9300}{31}}

\longrightarrow \: \sf{x = \cancel{\dfrac{9300}{31}}}

\longrightarrow \: \sf{x = Rs \: 300}

 \\

Hence,

  • The amount of money she had was Rs 300.

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Answered by TheAestheticBoy
43

Step-by-step explanation:

★ Given :-

⠀⠀⠀⠀⠀⠀

  • A lady has spend 69% of her money, and left with ₹93.

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★ To Find :-

⠀⠀⠀⠀⠀⠀

  • The total money she had first.

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★ Answer :-

⠀⠀⠀⠀⠀⠀

  • Let the lady have ₹x in the starting.
  • According to the question, the lady spent 69% money.
  • Hence, the lady left with 31% money.

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Therefore,

⠀⠀⠀⠀⠀⠀

  • The lady is left with 31% of ₹x money, which is equal to 93

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Solution :-

⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀ \mapsto \ \bold \red{ \frac{31}{100} \times x =  ₹93 } \\  \\  \bold { x\:= \frac{93 \times 100}{31} } \\  \\     \bold  {x\:=\frac{ \cancel{9300}}{  \cancel{31} }} \\ \\  \bold{x\:} = \large \fbox{\fbox \pink{ ₹\:300}}

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Hence,

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  • The lady has 300 in the beginning.

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\large\colorbox{pink}{Hope lt'z Help You ❥ }

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