Question

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

Answer 1

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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Answer 2

Step-by-step explanation:

★ Given :-

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

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★ To Find :-

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• The total money she had first.

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★ Answer :-

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• 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,

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

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★ Solution :-

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

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★ Hence,

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• The lady has ₹ 300 in the beginning.

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